Last update:
Sat Apr 12 07:54:18 MDT 2025
Anonymous Experimental results motivated by a
theory . . . . . . . . . . . . . . . . . 1--2
Prof. Dr. C. Foia\cs A biological homology inference from
ergodic theory . . . . . . . . . . . . . 3--7
Dr. E. Schäfer and
Prof. Dr. H. Mohr Irradiance dependency of the phytochrome
system in cotyledons of mustard
(\bionameSinapis alba L.) . . . . . . . 9--15
Dr. J. L. Lebowitz and
Dr. S. I. Rubinow A theory for the age and generation time
distribution of a microbial population 17--36
Dr. Angelika Wörz-Busekros The zygotic algebra for sex linkage . . 37--46
G. Palm On the selection model for a sex-linked
locus . . . . . . . . . . . . . . . . . 47--50
Prof. Dr. K. P. Hadeler On the equilibrium states in certain
selection models . . . . . . . . . . . . 51--56
Dr. J. C. Bezdek Numerical taxonomy with fuzzy sets . . . 57--71
Dr. A. T. Winfree Patterns of phase compromise in
biological cycles . . . . . . . . . . . 73--93
Dr. H. L. Resnikoff Differential geometry and color
perception . . . . . . . . . . . . . . . 97--131
H. C. Mel and
D. A. Ewald Thermodynamic potentials and evolution
towards the stationary state in open
systems of far-from-equilibrium chemical
reactions: The affinity squared minimum
function . . . . . . . . . . . . . . . . 133--151
Dr. M. W. Green and
Dr. B. D. Sleeman On FitzHugh's nerve axon equations . . . 153--163
Prof. Dr. K. P. Hadeler and
U. an der Heiden and
F. Rothe Nonhomogeneous spatial distributions of
populations . . . . . . . . . . . . . . 165--176
I. Tuffner-Denker On a population genetic model by S.
Karlin . . . . . . . . . . . . . . . . . 177--185
S. I. Rubinow and
J. L. Lebowitz A mathematical model of neutrophil
production and control in normal man . . 187--225
Hans-Otto Walther Existence of a non-constant periodic
solution of a non-linear autonomous
functional differential equation
representing the growth of a single
species population . . . . . . . . . . . 227--240
Dr. J. Swartz and
Prof. H. Bremermann Discussion of parameter estimation in
biological modelling: Algorithms for
estimation and evaluation of the
estimates . . . . . . . . . . . . . . . 241--257
Prof. J. Guckenheimer Isochrons and phaseless sets . . . . . . 259--273
Dr. J. Tyson and
S. Kauffman Control of mitosis by a continuous
biochemical oscillation:
Synchronization; spatially inhomogeneous
oscillations . . . . . . . . . . . . . . 289--310
Dr. J. J. Tyson On the existence of oscillatory
solutions in negative feedback cellular
control processes . . . . . . . . . . . 311--315
Dr. C. C. Heyde and
Dr. E. Seneta The genetic balance between random
sampling and random population size . . 317--320
Dr. U. an der Heiden On manifolds of equilibria in the
selection model for multiple alleles . . 321--330
I. Heuch Partial and complete sex linkage in
infinite populations . . . . . . . . . . 331--343
Dr. S. Karlin and
Dr. U. Liberman Random temporal variation in selection
intensities: One-locus two-allele model 1--17
K. P. Hadeler and
U. Liberman Selection models with fertility
differences . . . . . . . . . . . . . . 19--32
Prof. Robert Ineichen and
Prof. Eduard Batschelet Genetic selection and de Finetti
diagrams . . . . . . . . . . . . . . . . 33--39
Dr. E. Schäfer A new approach to explain the ``high
irradiance responses'' of
photomorphogenesis on the basis of
phytochrome . . . . . . . . . . . . . . 41--56
Dr. H. Dekker A simple mathematical model of rodent
population cycles . . . . . . . . . . . 57--67
Dr. A. Boyarsky A Markov chain model for human
granulocyte movement . . . . . . . . . . 69--78
Dr. F. Göbber and
Prof. Dr. F. F. Seelig Conditions for the application of the
steady-state approximation to systems of
differential equations . . . . . . . . . 79--86
Prof. M. N. Öguztöreli and
Prof. R. B. Stein An analysis of oscillations in
neuro-muscular systems . . . . . . . . . 87--105
Dr. G. J. Dörrscheidt and
Prof. Dr. L. Beck Advanced methods for evaluating
characteristic parameters $ (\tau,
\alpha, \rho) $ of circadian rhythms . . 107--121
Dr. H. R. Karfunkel and
F. F. Seelig Excitable chemical reaction systems I.
Definition of excitability and
simulation of model systems . . . . . . 123--132
Dr. H. G. Othmer Nonlinear wave propagation in reacting
systems . . . . . . . . . . . . . . . . 133--163
Prof. G. S. Ladde and
Prof. D. D. Siljak Stability of multispecies communities in
randomly varying environment . . . . . . 165--178
F. B. Christiansen and
M. W. Feldman Selection in complex genetic systems IV.
Multiple alleles and interactions
between two loci . . . . . . . . . . . . 179--204
J. Rinzel Neutrally stable traveling wave
solutions of nerve conduction equations 205--217
W. H. Fleming A selection--migration model in
population genetics . . . . . . . . . . 219--233
F. C. Hoppensteadt Analysis of a stable polymorphism
arising in a selection--migration model
in population genetics . . . . . . . . . 235--240
C. Conley An application of Wazewski's method to a
non-linear boundary value problem which
arises in population genetics . . . . . 241--249
K. P. Hadeler and
F. Rothe Travelling fronts in nonlinear diffusion
equations . . . . . . . . . . . . . . . 251--263
H. L. Resnikoff On the psychophysical function . . . . . 265--276
A. Peskoff and
R. S. Eisenberg The time-dependent potential in a
spherical cell using matched asymptotic
expansions . . . . . . . . . . . . . . . 277--300
Dr. A. Peskoff and
Mr. D. M. Ramirez Potential induced in a spherical cell by
an intracellular point source and an
extracellular point sink . . . . . . . . 301--316
Dr. Ch. DeLisi The kinetics of hemolytic plaque
formation V. The influence of geometry
on plaque growth . . . . . . . . . . . . 317--331
Dr. Barbara Abraham-Shrauner Generalized Gouy--Chapman potential of
charged phospholipid membranes with
divalent cations . . . . . . . . . . . . 333--339
Dr. B. D. Sleeman Fitzhugh's nerve axon equations . . . . 341--349
Dr. R. M. May A note on random sets mosaics . . . . . 351--357
Dr. Angelika Wörz-Busekros The zygotic algebra for sex linkage II 359--371
Dr. F. J. S. Wang Limit theorems for age and density
dependent stochastic population models 373--400
Prof. S. Smale and
Prof. R. F. Williams The qualitative analysis of a difference
equation of population growth . . . . . 1--4
Professor S. Smale On the differential equations of species
in competition . . . . . . . . . . . . . 5--7
Dr. C. O. A. Sowunmi Female dominant age-dependent
deterministic population dynamics . . . 9--17
Dr. B. Levikson Regulated growth in random environments 19--26
H. H. Harman and
A. Kocková-Kratochvílová Use of factor analysis to classify
strains of yeasts: Application to genus
\bionameTorulopsis berlese . . . . . . . 27--52
Dr. H. G. Othmer The qualitative dynamics of a class of
biochemical control circuits . . . . . . 53--78
Dr. J. J. Koenderink and
A. J. van Doorn Visual perception of rigidity of solid
shape . . . . . . . . . . . . . . . . . 79--85
Professor M. N. Oguztöreli and
Dr. R. B. Stein The effects of multiple reflex pathways
on the oscillations in neuro-muscular
systems . . . . . . . . . . . . . . . . 87--101
B. D. Coleman and
G. H. Renninger Theory of the response of the limulus
retina to periodic excitation . . . . . 103--119
Dr. Narendra S. Goel and
Dr. Martynas Ycas The error catastrophe hypothesis and
aging . . . . . . . . . . . . . . . . . 121--147
Dipl.-Math. Dr. T. Middendorf and
Prof. Dr. Dr. H. H. Loeschcke Mathematische simulation des
respirationssystems. (German)
[Mathematical simulation of the
respiratory system] . . . . . . . . . . 149--177
Dr. H.-R. Gregorius Convergence of genetic compositions
assuming infinite population-size and
overlapping generations . . . . . . . . 179--186
Dr. H.-O. Walther On a transcendental equation in the
stability analysis of a population
growth model . . . . . . . . . . . . . . 187--195
Prof. Dr. K. P. Hadeler On the stability of the stationary state
of a population growth equation with
time-lag . . . . . . . . . . . . . . . . 197--201
Dr. P. Rapp Analysis of biochemical phase shift
oscillators by a harmonic balancing
technique . . . . . . . . . . . . . . . 203--224
Dr. S. Rocklin and
Dr. G. Oster Competition between phenotypes . . . . . 225--261
Dr. D. L. Hartl Stochastic selection in both haplophase
and diplophase . . . . . . . . . . . . . 263--269
Dr. H.-J. Schuh A condition for the extinction of a
branching process with an absorbing
lower barrier . . . . . . . . . . . . . 271--287
P. Holgate Direct products of genetic algebras and
Markov chains . . . . . . . . . . . . . 289--295
Dr. Y. Kobuchi Signal propagation in $2$-dimensional
threshold cellular space . . . . . . . . 297--312
Dr. B. S. Goh Global stability in two species
interactions . . . . . . . . . . . . . . 313--318
Dr. F. Rothe Convergence to the equilibrium state in
the Volterra--Lotka diffusion equations 319--324
Alan S. Perelson and
Majdedin Mirmirani and
George F. Oster Optimal strategies in immunology . . . . 325--367
Dr. J. M. Cushing Predator prey interactions with time
delays . . . . . . . . . . . . . . . . . 369--380
Dr. Colin W. Clark A delayed-recruitment model of
population dynamics, with an application
to baleen whale populations . . . . . . 381--391
Dr. Angelika Wörz-Busekros Solutions to a degenerate system of
parabolic equations from marine biology 393--406
Anonymous Announcement . . . . . . . . . . . . . . 407--407
B. A. Taylor and
Dr. J. D. Murray Effect of the rate of oxygen consumption
on muscle respiration . . . . . . . . . 1--20
M. I. Granero and
Dr. A. Porati and
D. Zanacca A bifurcation analysis of pattern
formation in a diffusion governed
morphogenetic field . . . . . . . . . . 21--27
Dr. B. L. Jones A model for macromolecular selection in
complementary instructing systems . . . 29--34
Dr. A. Boyarsky Pattern prediction for moving cells . . 35--47
Dr. Dorit Carmelli Some population genetic models combining
artificial and natural selection
pressures in the presence of assortative
mating . . . . . . . . . . . . . . . . . 49--67
Dr. H. L. Smith On periodic solutions of a delay
integral equation modelling epidemics 69--80
Dr. K. Wevelsiep Processing visual signals with nonlinear
spatial filters . . . . . . . . . . . . 81--99
Professor J. Guckenheimer and
Professor G. Oster and
Prof. A. Ipaktchi The dynamics of density dependent
population models . . . . . . . . . . . 101--147
Dr. J. T. Jenkins Static equilibrium configurations of a
model red blood cell . . . . . . . . . . 149--169
Dr. S. H. Levine and
Dr F. M. Scudo and
D. J. Plunkett Persistence and convergence of
ecosystems: An analysis of some second
order difference equations . . . . . . . 171--182
Dr. H. R. Karfunkel and
C. Kahlert Excitable chemical reaction systems . . 183--185
Dr. B. L. Jones A solvable selfreproductive hypercycle
model for the selection of biological
molecules . . . . . . . . . . . . . . . 187--193
Prof. G. F. Estabrook and
Dr. F. R. McMorris When are two qualitative taxonomic
characters compatible? . . . . . . . . . 195--200
Anonymous Erratum . . . . . . . . . . . . . . . . 201--201
Dr. R. FitzHugh A model of optimal voluntary muscular
control . . . . . . . . . . . . . . . . 203--236
Dr. S. Grossberg Pattern formation by the global limits
of a nonlinear competitive interaction
in n dimensions . . . . . . . . . . . . 237--256
Dr. J. M. Cushing Time delays in single species growth
models . . . . . . . . . . . . . . . . . 257--264
M. E. Fisher and
Dr. B. S. Goh Stability in a class of discrete time
models of interacting populations . . . 265--274
Dr. B. S. Goh and
T. T. Agnew Stability in Gilpin and Ayala's models
of competition . . . . . . . . . . . . . 275--279
Prof. H. Primas Theory reduction and non-Boolean
theories . . . . . . . . . . . . . . . . 281--301
Dr. T. J. Sejnowski Storing covariance with nonlinearly
interacting neurons . . . . . . . . . . 303--321
Dr. K. Aase Conditioned moments of time to fixation 323--326
Dr. R. L. Hall Amoeboid movement as a correlated walk 327--335
Dr. H. R. Thieme A model for the spatial spread of an
epidemic . . . . . . . . . . . . . . . . 337--351
P. C. Fife On modelling pattern formation by
activator-inhibitor systems . . . . . . 353--362
Dr. D. J. Allwright A global stability criterion for simple
control loops . . . . . . . . . . . . . 363--373
G. Palm and
T. Poggio Wiener-like system identification in
physiology . . . . . . . . . . . . . . . 375--381
M. N. Oguztöreli and
R. B. Stein A kinetic study of muscular contractions 1--31
Lev R. Ginzburg Local consideration of polymorphisms for
populations coexisting in stable
ecosystems . . . . . . . . . . . . . . . 33--41
Ivar Heuch An explicit formula for frequency
changes in genetic algebras . . . . . . 43--53
K. Lange and
N. Risch Comments on lack of interference in the
four strand model of crossing over . . . 55--59
J. A. Sved and
B. D. H. Latter Migration and mutation in stochastic
models of gene frequency change . . . . 61--73
J. J. Hsieh A formulation of the lifetime
distribution and the existence of its
moments . . . . . . . . . . . . . . . . 75--86
J. E. Mann and
G. L. Curry A sunfleck theory for general foliage
location distributions . . . . . . . . . 87--97
A. I. Mees and
P. E. Rapp Periodic metabolic systems: Oscillations
in multiple-loop negative feedback
biochemical control networks . . . . . . 99--114
Harlan W. Stech The effect of time lags on the stability
of the equilibrium state of a population
growth equation . . . . . . . . . . . . 115--120
Eric Jakobsson A fully coupled transient excited state
model for the sodium channel . . . . . . 121--142
Elke Siep Molecular model for sodium conductance
and calcium transport in the squid axon 143--168
Hans G. Othmer and
John A. Aldridge The effects of cell density and
metabolite flux on cellular dynamics . . 169--200
Samuel Karlin and
Uri Liberman The two-locus multi-allele additive
viability model . . . . . . . . . . . . 201--211
Alan S. Perelson and
Majdedin Mirmirani and
George F. Oster Optimal strategies in immunology . . . . 213--256
Juan Lin and
Peter B. Kahn Qualitative dynamics of three species
predator--prey systems . . . . . . . . . 257--268
Thomas G. Hallam Structural sensitivity of grazing
formulations in nutrient controlled
plankton models . . . . . . . . . . . . 269--280
Michael Moody A multi-locus continuous-time selection
model . . . . . . . . . . . . . . . . . 281--291
Donat-P. Häder and
Uhland Burkart Mathematical model for photophobic
accumulations of blue-green algae in
light traps . . . . . . . . . . . . . . 293--304
M. Ashkenazi and
H. G. Othmer Spatial patterns in coupled biochemical
oscillators . . . . . . . . . . . . . . 305--350
John J. Tyson On the appearance of chaos in a model of
the Belousov reaction . . . . . . . . . 351--362
John Rinzel Repetitive activity and Hopf bifurcation
under point-stimulation for a simple
FitzHugh--Nagumo nerve conduction model 363--382
K. Gopalsamy Dynamics of maturing populations and
their asymptotic behaviour . . . . . . . 383--398
Alan Hastings Global stability of two species systems 399--403
Angelika Wörz-Busekros Erratum . . . . . . . . . . . . . . . . 405--405
Bernard D. Coleman On the growth of populations with narrow
spread in reproductive age . . . . . . . 1--19
Ingemar Nåsell Mating models for schistosomes . . . . . 21--35
K. B. Gerald and
J. H. Matis and
H. Kleerekoper A stochastic locomotor control model for
the nurse shark, \booktitleGinglymostoma
cirratum . . . . . . . . . . . . . . . . 37--48
Kenjiro Maginu Stability of periodic travelling wave
solutions of a nerve conduction equation 49--57
Kenneth Lange Central limit theorems of pedigrees . . 59--66
S. B. Hsu The application of the Poincaré-transform
to the Lotka--Volterra model . . . . . . 67--73
Alan S. Perelson and
Lee A. Segel A singular perturbation approach to
diffusion reaction equations containing
a point source, with application to the
hemolytic plaque assay . . . . . . . . . 75--85
Anthony Leung Limiting behaviour for a prey-predator
model with diffusion and crowding
effects . . . . . . . . . . . . . . . . 87--93
D. Winne The permeability coefficient of the wall
of a villous membrane . . . . . . . . . 95--108
O. Diekmann Thresholds and travelling waves for the
geographical spread of infection . . . . 109--130
R. F. V. Anderson Stability of displacement clines arising
in allospecies competition . . . . . . . 131--144
J. M. Cushing Bifurcation of periodic oscillations due
to delays in single species growth
models . . . . . . . . . . . . . . . . . 145--161
Alan Hastings Global stability in Lotka--Volterra
systems with diffusion . . . . . . . . . 163--168
B. L. Jones Some principles governing selection in
self-reproducing macromolecular systems 169--175
Leonid Fukshansky On the theory of light absorption in
non-homogeneous objects . . . . . . . . 177--196
P. Holgate Selfing in genetic algebras . . . . . . 197--206
Leon Glass and
Joel S. Pasternack Stable oscillations in mathematical
models of biological control systems . . 207--223
A. Da Ronch and
H. Radu and
V. Caldesi-Valeri Computer simulation of calcium-induced
myotonia . . . . . . . . . . . . . . . . 225--234
Eric Jakobsson A fully coupled transient excited state
model for the sodium channel . . . . . . 235--248
Morihiro Notohara and
Kazushige Ishii and
Hirotsugu Matsuda Use of orthogonal transformation in
population genetics theory . . . . . . . 249--263
D. J. Wollkind and
J. A. Logan Temperature-dependent predator--prey
mite ecosystem on apple tree foliage . . 265--283
Charles V. Coffman and
Bernard D. Coleman On the growth of populations with narrow
spread in reproductive age . . . . . . . 285--303
Gail A. Carpenter and
Victor R. Knapp An analysis of the mammalian ventricular
action potential . . . . . . . . . . . . 305--316
H. Haken and
H. Olbrich Analytical treatment of pattern
formation in the Gierer--Meinhardt model
of morphogenesis . . . . . . . . . . . . 317--331
Paul J. Polansky Two-dimensional stochastic exponential
growth models . . . . . . . . . . . . . 333--342
Ivar Heuch The genetic algebra for polyploidy with
an arbitrary amount of double reduction 343--352
Angelika Wörz-Busekros Polyploidy with an arbitrary mixture of
chromosome- and chromatid segregation 353--365
H. I. Freedman and
Paul Waltman Predator influence on the growth of a
population with three genotypes . . . . 367--374
Thomas Nagylaki A diffusion model for geographically
structured populations . . . . . . . . . 375--382
William F. Pohl and
George W. Roberts Topological consideration in the theory
of replication of DNA . . . . . . . . . 383--402
M. N. Oguztöreli and
R. B. Stein Interactions between centrally and
peripherally generated neuromuscular
oscillations . . . . . . . . . . . . . . 1--29
Donald H. Perkel and
Marcus W. Feldman Neurotransmitter release statistics:
Moment estimates for inhomogeneous
Bernoulli trials . . . . . . . . . . . . 31--40
J. P. Kernevez and
G. Joly and
M. C. Duban and
B. Bunow and
D. Thomas Hysteresis, oscillations, and pattern
formation in realistic immobilized
enzyme systems . . . . . . . . . . . . . 41--56
R. Kainer A functional model of the rat kidney . . 57--94
P. R. Parthasarathy On a modified Markov branching process 95--97
Jaime Milstein and
Hans J. Bremermann Parameter identification of the Calvin
photosynthesis cycle . . . . . . . . . . 99--116
Nishan Krikorian The Volterra model for three species
predator--prey systems: Boundedness and
stability . . . . . . . . . . . . . . . 117--132
H. Peil One- and multi-locus multi-allele
selection models in a random environment 133--148
H. L. Frisch and
I. J. Gotham A simple model for periodic cyclostat
growth of algae . . . . . . . . . . . . 149--169
J. Grasman and
M. J. W. Jansen Mutually synchronized relaxation
oscillators as prototypes of oscillating
systems in biology . . . . . . . . . . . 171--197
Victor E. Kane Stochastic models for X chromosome
inactivation . . . . . . . . . . . . . . 199--218
John W. Erickson and
Gary G. Altman A search for patterns in the nucleotide
sequence of the MS2 genome . . . . . . . 219--230
Donald S. Cohen and
S. Rosenblat Multi-species interactions with
hereditary effects and spatial diffusion 231--241
Masayasu Mimura and
Yasumasa Nishiura Spatial patterns for an
interaction--diffusion equation in
morphogenesis . . . . . . . . . . . . . 243--263
G. B. Ermentrout and
J. D. Cowan Temporal oscillations in neuronal nets 265--280
Charles V. Coffman and
Bernard D. Coleman On the growth of populations with narrow
spread in reproductive age: III.
Periodic variations in the environment 281--301
K. Kishimoto and
S. Amari Existence and stability of local
excitations in homogeneous neural fields 303--318
F. Brauer and
A. C. Soudack Stability regions and transition
phenomena for harvested predator--prey
systems . . . . . . . . . . . . . . . . 319--337
Leon Glass and
Michael C. Mackey A simple model for phase locking of
biological oscillators . . . . . . . . . 339--352
Samuel Karlin and
Uri Liberman Representation of nonepistatic selection
models and analysis of multilocus
Hardy--Weinberg equilibrium
configurations . . . . . . . . . . . . . 353--374
Franz Rothe Some analytical results about a simple
reaction--diffusion system for
morphogenesis . . . . . . . . . . . . . 375--384
Robert N. Miller A simple model of delay, block and one
way conduction in Purkinje fibers . . . 385--398
L. Hoofd and
F. Kreuzer A new mathematical approach for solving
carrier-facilitated steady-state
diffusion problems . . . . . . . . . . . 1--13
E. Batschelet and
L. Brand and
A. Steiner On the kinetics of lead in the human
body . . . . . . . . . . . . . . . . . . 15--23
S. D. Tuljapurkar and
J. S. Semura Liapunov functions: Geometry and
stability . . . . . . . . . . . . . . . 25--32
Kohkichi Kawasaki and
Ei Teramoto Spatial pattern formation of
prey-predator populations . . . . . . . 33--46
G. West Color perception and the limits of color
constancy . . . . . . . . . . . . . . . 47--53
F. Brauer and
A. C. Soudack Stability regions in predator--prey
systems with constant-rate prey
harvesting . . . . . . . . . . . . . . . 55--71
Michael Moody Polymorphism with migration and
selection . . . . . . . . . . . . . . . 73--109
Anonymous Erratum . . . . . . . . . . . . . . . . 111--111
F. de Hoog and
J. Gani and
D. J. Gates A threshold theorem for the general
epidemic in discrete time . . . . . . . 113--121
Thomas Nagylaki Migration--selection polymorphism in
dioecious populations . . . . . . . . . 123--131
S. D. Tuljapurkar and
J. S. Semura Stochastic instability and Liapunov
stability . . . . . . . . . . . . . . . 133--145
V. Fairén and
M. G. Velarde Time-periodic oscillations in a model
for the respiratory process of a
bacterial culture . . . . . . . . . . . 147--157
Gary W. Harrison Global stability of predator--prey
interactions . . . . . . . . . . . . . . 159--171
Horst R. Thieme Density-dependent regulation of
spatially distributed populations and
their asymptotic speed of spread . . . . 173--187
Prajneshu A stochastic Gompertz model with
hereditary effect . . . . . . . . . . . 189--196
C. Hook and
E. Hildebrand Excitation of paramecium . . . . . . . . 197--214
H. L. Frisch and
I. J. Gotham Erratum . . . . . . . . . . . . . . . . 215--215
D. Ludwig and
D. G. Aronson and
H. F. Weinberger Spatial patterning of the spruce budworm 217--258
James D. Nichols and
Jay B. Hestbeck and
Walt Conley Mathematical models and population
cycles: A critical evaluation of a
recent modeling effort . . . . . . . . . 259--263
Gabriella Di Blasio Non-linear age-dependent population
diffusion . . . . . . . . . . . . . . . 265--284
P. Sonneveld and
J. van Kan On a conjecture about the periodic
solution of the logistic equation . . . 285--289
K. Dietz Epidemiologic interference of virus
populations . . . . . . . . . . . . . . 291--300
Norman T. J. Bailey Introduction to the modelling of
venereal disease . . . . . . . . . . . . 301--322
Anonymous Information . . . . . . . . . . . . . . 323--323
Ebbe Thue Poulsen A model for population regulation with
density- and frequency-dependent
selection . . . . . . . . . . . . . . . 325--343
U. an der Heiden Delays in physiological systems . . . . 345--364
H. E. Wichmann Asymptotic behavior and stability in
four models of venereal disease . . . . 365--373
Hans-Rolf Gregorius Deterministic single-locus
density-dependent selection . . . . . . 375--391
Hans J. Bremermann Unlinked strands as a topological
constraint on chromosomal DNA, plasmid
integration, and DNA repair . . . . . . 393--401
Hans Scharstein Input-output relationship of the
Leaky--Integrator Neuron Model . . . . . 403--420
Anonymous Information . . . . . . . . . . . . . . 1--1
J.-H. Eschenburg Is binocular visual space constantly
curved? . . . . . . . . . . . . . . . . 3--22
S. Rosenblat Population models in a periodically
fluctuating environment . . . . . . . . 23--36
Herbert W. Hethcote and
David W. Tudor Integral equation models for endemic
infectious diseases . . . . . . . . . . 37--47
Masayasu Mimura and
Kohkichi Kawasaki Spatial segregation in competitive
interaction--diffusion equations . . . . 49--64
M. Ikeda and
D. D. Siljak Lotka--Volterra equations:
Decomposition, stability, and structure 65--83
Nanako Shigesada Spatial distribution of dispersing
animals . . . . . . . . . . . . . . . . 85--96
Anonymous Erratum . . . . . . . . . . . . . . . . 97--97
Anonymous Announcement . . . . . . . . . . . . . . 99--99
Thomas Nagylaki The strong-migration limit in
geographically structured populations 101--114
S. B. Hsu A competition model for a seasonally
fluctuating nutrient . . . . . . . . . . 115--132
Kenichi Aoki A criterion for the establishment of a
stable polymorphism of higher order with
an application to the evolution of
polymorphism . . . . . . . . . . . . . . 133--146
Wolgang Alt Biased random walk models for chemotaxis
and related diffusion approximations . . 147--177
Pierangelo Marcati and
M. Assunta Pozio Global asymptotic stability for a vector
disease model with spatial spread . . . 179--187
Samuel Karlin The number of stable equilibria for the
classical one-locus multiallele
selection model . . . . . . . . . . . . 189--192
T. Erneux and
J. Hiernaux Transition from polar to duplicate
patterns . . . . . . . . . . . . . . . . 193--211
Masao Nagasawa Segregation of a population in an
environment . . . . . . . . . . . . . . 213--235
Thomas Nagylaki Analysis of some regular systems of
inbreeding . . . . . . . . . . . . . . . 237--244
Simon A. Levin and
C. Phillip Goodyear Analysis of an age-structured fishery
model . . . . . . . . . . . . . . . . . 245--274
Hans-Helmut Kohler and
Eva Vollmerhaus The frequency of cyclic processes in
biological multistate systems . . . . . 275--290
G. Odell and
G. Oster and
B. Burnside and
P. Alberch A mechanical model for epithelial
morphogenesis . . . . . . . . . . . . . 291--295
Peter Fortini and
Richard Barakat Genetic algebras for tetraploidy with
several loci . . . . . . . . . . . . . . 297--304
M. P. Singh and
K. Khetarpal and
Mathili Sharan A theoretical model for studying the
rate of oxygenation of blood in
pulmonary capillaries . . . . . . . . . 305--330
Eugenio Sinestrari Non-linear age-dependent population
growth . . . . . . . . . . . . . . . . . 331--345
C. Hook and
E. Hildebrand Excitability of Paramecium and the
significance of negative surface charges 347--360
David A. Sánchez Linear age-dependent population growth
with seasonal harvesting . . . . . . . . 361--368
Hiroumi Funakoshi and
Akio Yamada Transition phenomena in bacterial growth
between logarithmic and stationary
phases . . . . . . . . . . . . . . . . . 369--387
Lilia Alberghina and
Luigi Mariani Analysis of a cell cycle model for
\bionameEscherichia coli . . . . . . . . 389--398
K. H. Steinbach and
H. Raffler and
G. Pabst and
T. M. Fliedner A mathematical model of canine
granulocytopoiesis . . . . . . . . . . . 1--12
Stavros Busenberg and
Kenneth L. Cooke The effect of integral conditions in
certain equations modelling epidemics
and population growth . . . . . . . . . 13--32
William O. Criminale Effects of mean current and shear on
stability of depth distributions of
marine phytoplankton . . . . . . . . . . 33--51
Jorge Gonzalez-Guzman A mixed program for parasitic disease
control . . . . . . . . . . . . . . . . 53--64
Gary W. Harrison Persistence of predator--prey systems in
an uncertain environment . . . . . . . . 65--77
Emmanuel T. Rakitzis Kinetic analysis of biphasic protein
modification reactions . . . . . . . . . 79--87
Juan Lin and
Peter B. Kahn Averaging methods in the
delayed-logistic equation . . . . . . . 89--96
G. Bard Ermentrout and
John Rinzel One-dimensional $ \lambda $--$ \omega $
target patterns: Empirical stability
tests . . . . . . . . . . . . . . . . . 97--100
Juan Lin and
Peter B. Kahn Random effects in population models with
hereditary effects . . . . . . . . . . . 101--112
Norman T. J. Bailey and
J. Duppenthaler Sensitivity analysis in the modelling of
infectious disease dynamics . . . . . . 113--131
Kenjiro Maginu Existence and stability of periodic
travelling wave solutions to Nagumo's
nerve equation . . . . . . . . . . . . . 133--153
W. J. Ewens and
W.-H. Li Frequency spectra of neutral and
deleterious alleles in a finite
population . . . . . . . . . . . . . . . 155--166
Harry Kesten The number of distinguishable alleles
according to the Ohta--Kimura model of
neutral mutation . . . . . . . . . . . . 167--187
Samuel Karlin The range of stability of a polymorphic
linkage equilibrium state in a two-locus
two-allele selection model . . . . . . . 189--194
R. C. Griffiths Genetic identity between populations
when mutation rates vary within and
across loci . . . . . . . . . . . . . . 195--204
W. J. Bühler and
B. Mellein Integrals of birth and death processes 205--207
Alan S. Perelson and
Byron Goldstein and
Sol Rocklin Optimal strategies in immunology III.
The IgM--IgG switch . . . . . . . . . . 209--256
Uhland Burkart and
Donat-P. Häder Phototactic attraction in light trap
experiments: A mathematical model . . . 257--269
Gustaf Gripenberg Periodic solutions of an epidemic model 271--280
Morihiro Notohara and
Tokuzo Shiga Convergence to genetically uniform state
in stepping stone models of population
genetics . . . . . . . . . . . . . . . . 281--294
Toshiyuki Namba Asymptotic behaviour of solutions of the
diffusive Lotka--Volterra equations . . 295--303
Alan E. Stark Inbreeding systems: Classification by a
canonical form . . . . . . . . . . . . . 305--305
K. P. Hadeler and
P. de Mottoni and
K. Schumacher Dynamic models for animal orientation 307--332
A. Lasota and
Michael C. Mackey The extinction of slowly evolving
dynamical systems . . . . . . . . . . . 333--345
Byron Goldsten and
Carla Wofsy Theory of equilibrium binding of a
bivalent ligand to cell surface
antibody: The effect of antibody
heterogeneity on cross-linking . . . . . 347--366
G. F. Estabrook and
F. R. McMorris When is one estimate of evolutionary
relationships a refinement of another? 367--373
Lo-Sheng Dai On the existence of limit cycles for the
enzyme-catalyzed hydrolysis reaction in
a zero-dimensional representation of a
membrane . . . . . . . . . . . . . . . . 375--384
J. M. Cushing Two species competition in a periodic
environment . . . . . . . . . . . . . . 385--400
Yasuhiro Takeuchi and
Norihiko Adachi The existence of globally stable
equilibria of ecosystems of the
generalized Volterra type . . . . . . . 401--415
F. Brauer and
A. C. Soudack Constant-rate stocking of predator--prey
systems . . . . . . . . . . . . . . . . 1--14
Richard E. Plant Bifurcation and resonance in a model for
bursting nerve cells . . . . . . . . . . 15--32
Martin Ziehe Population trajectories for single locus
additive fecundity selection and related
selection models . . . . . . . . . . . . 33--43
William R. Engels On estimating the total number of genes
of a given kind in the genome and
similar problems . . . . . . . . . . . . 45--50
Alan Hastings Multiple limit cycles in predator--prey
models . . . . . . . . . . . . . . . . . 51--63
Jan Prüß Equilibrium solutions of age-specific
population dynamics of several species 65--84
D. J. Allwright The Hopf bifurcation in some biochemical
control loops . . . . . . . . . . . . . 85--93
Harlan Stech and
Michael Williams Stability in a class of cyclic epidemic
models with delay . . . . . . . . . . . 95--103
Stuart Hastings Persistent spatial patterns for
semi-discrete models of excitable media 105--117
H. Matsuda and
K. Ishii Stationary gene frequency distribution
in the environment fluctuating between
two distinct states . . . . . . . . . . 119--141
B. Paletta and
W. Estelberger and
G. Porod System identification of the control of
gluconeogenesis in the intact organism
under conditions of long-term stress . . 143--153
J. Hofbauer and
P. Schuster and
K. Sigmund Competition and cooperation in catalytic
selfreplication . . . . . . . . . . . . 155--168
John H. Gillespie The transient properties of balancing
selection in large finite populations 169--180
Louis J. Gross On the dynamics of internal leaf carbon
dioxide uptake . . . . . . . . . . . . . 181--191
Stanley Sawyer and
Joseph Felsenstein A continuous migration model with stable
demography . . . . . . . . . . . . . . . 193--205
J. P. Pauwelussen and
L. A. Peletier Clines in the presence of asymmetric
migration . . . . . . . . . . . . . . . 207--233
Morihiro Notohara Eigenanalysis for the Kolmogorov
backward equation for the neutral
multi-allelic model . . . . . . . . . . 235--244
Michael Moody Polymorphism with selection and
genotype-dependent migration . . . . . . 245--267
G. Bard Ermentrout and
John Rinzel Waves in a simple, excitable or
oscillatory, reaction--diffusion model 269--294
M. A. Livshits and
G. T. Gurija and
B. N. Belintsev and
M. V. Volkenstein Positional differentiation as pattern
formation in reaction--diffusion systems
with permeable boundaries. Bifurcation
analysis . . . . . . . . . . . . . . . . 295--310
I. W. Saunders Epidemics in competition . . . . . . . . 311--318
P. de Mottoni and
A. Schiaffino Competition systems with periodic
coefficients: A geometric approach . . . 319--335
Michael Brill and
Gerhard West Contributions to the theory of
invariance of color under the condition
of varying illumination . . . . . . . . 337--350
Anonymous Announcement . . . . . . . . . . . . . . 350--350
R. H. Rand and
S. K. Upadhyaya and
J. R. Cooke and
D. W. Storti Hopf bifurcation in a stomatal
oscillator . . . . . . . . . . . . . . . 1--11
M. Kawato Transient and steady state phase
response curves of limit cycle
oscillators . . . . . . . . . . . . . . 13--30
Roy W. Whitmore and
J. H. Matis Compartmental analysis of carcinogenic
experiments: Formulation of a stochastic
model . . . . . . . . . . . . . . . . . 31--43
Sze-Bi Hsu On a resource based ecological
competition model with interference . . 45--52
Charles Tier An analysis of neutral-alleles and
variable-environment diffusion models 53--71
J. Nedelman and
S. I. Rubinow Facilitated diffusion of oxygen and
carbon monoxide in the large affinity
regime . . . . . . . . . . . . . . . . . 73--90
C. C. Heyde On the survival of a gene represented in
a founder population . . . . . . . . . . 91--99
F. Brauer and
A. C. Soudack Coexistence properties of some
predator--prey systems under constant
rate harvesting and stocking . . . . . . 101--114
Kuo-Shung Cheng and
Sze-Bi Hsu and
Song-Sun Lin Some results on global stability of a
predator--prey system . . . . . . . . . 115--126
Martino Bardi predator--prey models in periodically
fluctuating environments . . . . . . . . 127--140
J. G. Blom and
R. de Bruin and
J. Grasman and
J. G. Verwer Forced prey-predator oscillations . . . 141--152
H. S. Lam and
D. G. Lampard Modelling of drug receptor interaction
with birth and death processes . . . . . 153--172
James L. Cornette Deterministic genetic models in varying
environments . . . . . . . . . . . . . . 173--186
Friedrich Franz Seelig Unrestricted harmonic balance II.
Application to stiff ordinary
differential equations in enzyme
catalysis . . . . . . . . . . . . . . . 187--198
T. Erneux Stability of rotating chemical waves . . 199--214
James P. Keener On cardiac arrythmias: AV conduction
block . . . . . . . . . . . . . . . . . 215--225
Donald Greenspan A classical molecular approach to
computer simulation of biological
sorting . . . . . . . . . . . . . . . . 227--235
Donald S. Cohen and
James D. Murray A generalized diffusion model for growth
and dispersal in a population . . . . . 237--249
R. C. Griffiths The number of heterozygous loci between
two randomly chosen completely linked
sequences of loci in two subdivided
population models . . . . . . . . . . . 251--261
Simon A. Levin and
C. Phillip Goodyear Analysis of an age-structured fishery
model . . . . . . . . . . . . . . . . . 263--263
Louis W. Botsford Optimal fishery policy for
size-specific, density-dependent
population models . . . . . . . . . . . 265--293
G. J. Butler and
Paul Waltman Bifurcation from a limit cycle in a two
predator-one prey ecosystem modeled on a
chemostat . . . . . . . . . . . . . . . 295--310
Nanako Shigesada and
Akira Okubo Analysis of the self-shading effect on
algal vertical distribution in natural
waters . . . . . . . . . . . . . . . . . 311--326
G. Bard Ermentrout $ n \colon m $ Phase-locking of weakly
coupled oscillators . . . . . . . . . . 327--342
Bernard D. Coleman On optimal intrinsic growth rates for
populations in periodically changing
environments . . . . . . . . . . . . . . 343--354
Ilan Eshel On the survival probability of a
slightly advantageous mutant gene with a
general distribution of progeny size ---
a branching process model . . . . . . . 355--362
Stephen J. Merrill A model of the role of natural killer
cells in immune surveillance --- I . . . 363--373
P. R. Baverstock and
S. Elhay Water balance of small lactating rodents
--- III. Estimates of milk production
and water recycling in lactating
\booktitleMus musculus under various
water regimes . . . . . . . . . . . . . 1--22
A. C. Fowler Approximate solution of a model of
biological immune responses
incorporating delay . . . . . . . . . . 23--45
Bernhard Türke Analysis of pattern recognition by man
using detection experiments . . . . . . 47--65
P. Klein and
J. Sterzl and
J. Dolezal A mathematical model of B lymphocyte
differentiation: Control by antigen . . 67--86
Sjur D. Flåm Steady states in population models with
monotone, stochastic dynamics . . . . . 87--93
B. D. H. Latter and
J. A. Sved Migration and mutation in stochastic
models of gene frequency change. II.
Stochastic migration with a finite
number of islands . . . . . . . . . . . 95--104
Kazuo Kishimoto Instability of non-constant equilibrium
solutions of a system of
competition--diffusion equations . . . . 105--114
Michael Turelli Temporally varying selection on multiple
alleles: A diffusion analysis . . . . . 115--129
Morton E. Gurtin and
Lea F. Murphy On the optimal harvesting of persistent
age-structured populations . . . . . . . 131--148
A. Lasota and
Michael C. Mackey and
Maria Wazewska-Czyzewska Minimizing therapeutically induced
anemia . . . . . . . . . . . . . . . . . 149--158
David J. Gates and
Mark Westcott Negative skewness and negative
correlations in spatial competition
models . . . . . . . . . . . . . . . . . 159--171
V. Capasso and
L. Maddalena Convergence to equilibrium states for a
reaction--diffusion system modelling the
spatial spread of a class of bacterial
and viral diseases . . . . . . . . . . . 173--184
Herbert W. Hethcote and
Harlan W. Stech and
P. van den Driessche Stability analysis for models of
diseases without immunity . . . . . . . 185--198
R. B. Campbell The effect of variable environments on
polymorphism at loci with several
alleles I. A symmetric model . . . . . . 199--208
A. Gimelfarb A general linear model for the genotypic
covariance between relatives under
assortative mating . . . . . . . . . . . 209--226
A. Gimelfarb Analysis of ``nontraditional''
relationships under assortative mating 227--240
Shripad D. Tuljapurkar Primitivity and convergence to stability 241--246
Robert M. Miura Accurate computation of the stable
solitary wave for the FitzHugh--Nagumo
equations . . . . . . . . . . . . . . . 247--269
Fern Hunt Regulation of population cycles by
genetic feedback: Existence of periodic
solutions of a mathematical model . . . 271--282
Richard H. Elderkin Seed dispersal in a patchy environment
with global age dependence . . . . . . . 283--303
Ethan Akin Cycling in simple genetic systems . . . 305--324
Shripad D. Tuljapurkar Why use population entropy? It
determines the rate of convergence . . . 325--337
V. P. Shukla and
J. B. Shukla Multispecies food webs with diffusion 339--344
Avis H. Cohen and
Philip J. Holmes and
Richard H. Rand The nature of the coupling between
segmental oscillators of the lamprey
spinal generator for locomotion: A
mathematical model . . . . . . . . . . . 345--369
Gabriella Di Blasio and
Mimmo Iannelli and
Eugenio Sinestrari Approach to equilibrium in age
structured populations with an
increasing recruitment process . . . . . 371--382
Juan Lin and
Peter B. Kahn Phase and amplitude instability in
delay-diffusion population models . . . 383--393
Michael R. Guevara and
Leon Glass Phase locking, period doubling
bifurcations and chaos in a mathematical
model of a periodically driven
oscillator: A theory for the entrainment
of biological oscillators and the
generation of cardiac dysrhythmias . . . 1--23
G. J. Butler and
H. I. Freedman and
Paul Waltman Global dynamics of a selection model for
the growth of a population with
genotypic fertility differences . . . . 25--35
Marjorie A. Asmussen and
Michael T. Clegg Rates of decay of linkage disequilibrium
under two-locus models of selection . . 37--70
M. G. Roberts Stability in a two host epidemic model 71--75
Maria Giovanna Garroni and
Michel Langlais Age-dependent population diffusion with
external constraint . . . . . . . . . . 77--94
M. Badii and
A. Schiaffino Asymptotic behaviour of positive
solutions of periodic delay logistic
equations . . . . . . . . . . . . . . . 95--100
Norman T. J. Bailey The structural simplification of an
epidemiological compartment model . . . 101--116
O. Diekmann and
R. Montijn Prelude to Hopf bifurcation in an
epidemic model: Analysis of a
characteristic equation associated with
a nonlinear Volterra integral equation 117--127
Anonymous Announcement . . . . . . . . . . . . . . 129--129
Anonymous Call for papers . . . . . . . . . . . . 131--131
C. Berding and
H. Haken Pattern formation in morphogenesis . . . 133--151
A. Arneodo and
P. Coullet and
J. Peyraud and
C. Tresser Strange attractors in Volterra equations
for species in competition . . . . . . . 153--157
C. Conley and
P. Fife Critical manifolds, travelling waves,
and an example from population genetics 159--176
G. F. Webb A recovery-relapse epidemic model with
spatial diffusion . . . . . . . . . . . 177--194
George H. Weiss and
John Rice A combinatorial problem in pharmacology 195--201
T. B. Martonen and
A. F. Wilson Theoretical basis of single breath gas
absorption tests . . . . . . . . . . . . 203--220
Shripad D. Tuljapurkar Population dynamics in variable
environments. IV. Weak ergodicity in the
Lotka equation . . . . . . . . . . . . . 221--230
J. M. Cushing and
M. Saleem A predator prey model with age structure 231--250
Anonymous Announcement . . . . . . . . . . . . . . 251--251
Simon A. Levin and
Lee A. Segel Models of the influence of predation on
aspect diversity in prey populations . . 253--284
Thomas C. Gard Top predator persistence in differential
equation models of food chains: The
effects of omnivory and external forcing
of lower trophic levels . . . . . . . . 285--299
Norbert Lenz Poisson convergence on continuous time
Branching Random Walks and multistage
carcinogenesis . . . . . . . . . . . . . 301--307
B. D. Sleeman Small amplitude periodic waves for the
FitzHugh--Nagumo equations . . . . . . . 309--325
K. Ishii and
H. Matsuda and
N. Ogita A mathematical model of biological
evolution . . . . . . . . . . . . . . . 327--353
D. J. Daley and
Peter Hall and
C. C. Heyde Further results on the survival of a
gene represented in a founder population 355--363
Catherine A. Macken and
Alan S. Perelson Aggregation of cell surface receptors by
multivalent ligands . . . . . . . . . . 365--370
Peter L. Chesson The stabilizing effect of a random
environment . . . . . . . . . . . . . . 1--36
Eiji Yanagida Stability of stationary distributions in
a space-dependent population growth
process . . . . . . . . . . . . . . . . 37--50
B. F. Dibrov and
A. M. Zhabotinsky and
B. N. Kholodenko Dynamic stability of steady states and
static stabilization in unbranched
metabolic pathways . . . . . . . . . . . 51--63
John T. Kemper The evolutionary effect of endemic
infectious disease: Continuous models
for an invariant pathogen . . . . . . . 65--77
Morihiro Notohara The lattice models of neutral
multi-alleles in population genetics
theory . . . . . . . . . . . . . . . . . 79--92
A. Schiaffino and
A. Tesei Competition systems with Dirichlet
boundary conditions . . . . . . . . . . 93--105
Masaru Iizuka and
Hirotsugu Matsuda Weak convergence of discrete time
non-Markovian processes related to
selection models in population genetics 107--127
Anonymous Announcements . . . . . . . . . . . . . 129--130
R. H. Rand and
D. W. Storti and
S. K. Upadhyaya and
J. R. Cooke Dynamics of coupled stomatal oscillators 131--149
Joop Pauwelussen One way traffic of pulses in a neuron 151--171
P. Colli Franzone and
A. Paganuzzi and
M. Stefanelli A mathematical model of iron metabolism 173--201
V. Hutson and
W. Moran Persistence of species obeying
difference equations . . . . . . . . . . 203--213
P. Marcati On the global stability of the logistic
age-dependent population growth . . . . 215--226
Paul O'Brien Allele frequencies in a multidimensional
Wright--Fisher model with general
mutation . . . . . . . . . . . . . . . . 227--237
V. W. Noonburg Effects of behavioral adaptation on a
predator--prey model . . . . . . . . . . 239--247
Gerhard West and
Michael H. Brill Necessary and sufficient conditions for
Von Kries chromatic adaptation to give
color constancy . . . . . . . . . . . . 249--258
George F. Oster and
Alan S. Perelson and
Lewis G. Tilney A mechanical model for elongation of the
acrosomal process in Thyone sperm . . . 259--265
Erkki Oja Simplified neuron model as a principal
component analyzer . . . . . . . . . . . 267--273
Geoffrey Dougherty A Gaussian disorientation model for
interpreting linear dichroism
measurements of DNA-drug fibres and
films . . . . . . . . . . . . . . . . . 275--291
R. B. Campbell The effect of variable environments on
polymorphism at loci with several
alleles II. Submultiplicative
viabilities . . . . . . . . . . . . . . 293--303
M. Weiss Moments of physiological transit time
distributions and the time course of
drug disposition in the body . . . . . . 305--318
Rudolf Volz Global asymptotic stability of a
periodic solution to an epidemic model 319--338
F. C. Hoppensteadt and
J. P. Keener Phase locking of biological clocks . . . 339--349
Louis W. Shapiro and
Doron Zeilberger A Markov chain occurring in enzyme
kinetics . . . . . . . . . . . . . . . . 351--357
Hitoshi Ishii and
Izumi Takagi Global stability of stationary solutions
to a nonlinear diffusion equation in
phytoplankton dynamics . . . . . . . . . 1--24
C. E. Clark and
Thomas G. Hallam The community matrix in three species
community models . . . . . . . . . . . . 25--31
G. W. Harrison and
Hugh J. Barclay and
P. van den Driessche Analysis of a sterile insect release
model with predation . . . . . . . . . . 33--48
Alan Hastings Dynamics of a single species in a
spatially varying environment: The
stabilizing role of high dispersal rates 49--55
Thomas Nagylaki Assortative mating for a quantitative
character . . . . . . . . . . . . . . . 57--74
Uwe an der Heiden and
Michael C. Mackey The dynamics of production and
destruction: Analytic insight into
complex behavior . . . . . . . . . . . . 75--101
Kazuo Kishimoto The diffusive Lotka--Volterra system
with three species can have a stable
non-constant equilibrium solution . . . 103--112
Michel Chipot and
Leah Edelstein A mathematical theory of size
distributions in tissue culture . . . . 115--130
P. Klein and
T. Hraba and
J. Dolezal The use of immunological tolerance to
investigate B lymphocyte replacement
kinetics in chickens . . . . . . . . . . 131--140
Douglas A. Lauffenburger and
Clinton R. Kennedy Localized bacterial infection in a
distributed model for tissue
inflammation . . . . . . . . . . . . . . 141--163
Hans J. Bremermann Parasites at the origin of life . . . . 165--180
Stavros N. Busenberg and
Curtis C. Travis Epidemic models with spatial spread due
to population migration . . . . . . . . 181--198
Roger Lui Existence and stability of travelling
wave solutions of a nonlinear integral
operator . . . . . . . . . . . . . . . . 199--220
Konrad Schumacher No-escape regions and oscillations in
second order predator--prey recurrences 221--231
J. C. Eilbeck A collocation approach to the numerical
calculation of simple gradients in
reaction--diffusion systems . . . . . . 233--249
V. S. Manoranjan and
A. R. Mitchell A numerical study of the
Belousov--Zhabotinskii reaction using
Galerkin finite element methods . . . . 251--260
Richard E. Plant Analysis of a continuum model for root
growth . . . . . . . . . . . . . . . . . 261--268
Reinhard Bürger Nonlinear analysis of some models for
the evolution of dominance . . . . . . . 269--280
Peter Lory and
Albert Gilg and
Michael Horster Renal countercurrent system: Role of
collecting duct convergence and pelvic
urea predicted from a mathematical model 281--304
Anonymous Erratum . . . . . . . . . . . . . . . . 305--305
R. C. Griffiths Allele frequencies with genic selection 1--10
Steven R. Dunbar Travelling wave solutions of diffusive
Lotka--Volterra equations . . . . . . . 11--32
Martino Bardi An equation of growth of a single
species with realistic dependence on
crowding and seasonal factors . . . . . 33--43
J. Radcliffe and
L. Rass Wave solutions for the deterministic
non-reducible $n$-type epidemic . . . . 45--66
José Argémi and
Bruno Rossetto Solutions périodiques discontinues pour
l'approximation singuli\`ere d'un
mod\`ele neurophysiologique dans $ R^4 $
--- une métaphore dans $ R^3 $ avec
chaos. (French) [Discontinuous periodic
solutions for the singular approximation
of a neurophysiological model in $ R^4 $
--- a metaphor in $ R^3 $ with chaos] 67--92
P. Colli-Franzone and
L. Guerri and
C. Viganotti Oblique dipole layer potentials applied
to electrocardiology . . . . . . . . . . 93--124
J. D. Murray and
G. F. Oster and
A. K. Harris A mechanical model for mesenchymal
morphogenesis . . . . . . . . . . . . . 125--129
Anonymous Erratum . . . . . . . . . . . . . . . . 131--131
G. J. Butler and
S. B. Hsu and
P. Waltman Coexistence of competing predators in a
chemostat . . . . . . . . . . . . . . . 133--151
Stephen J. Merrill A model of the role of natural killer
cells in immune surveillance- II . . . . 153--162
H. L. Smith Subharmonic bifurcation in an S-I-R
epidemic model . . . . . . . . . . . . . 163--177
H. L. Smith Multiple stable subharmonics for a
periodic epidemic model . . . . . . . . 179--190
Joel Yellin Natural selection under population
regulation . . . . . . . . . . . . . . . 191--216
M. J. Buckley and
E. Seneta The genetic balance between varying
population size and selective neutrality 217--222
A. Hunding Bifurcations of nonlinear
reaction--diffusion systems in prolate
spheroids . . . . . . . . . . . . . . . 223--239
V. Losert and
E. Akin Dynamics of games and genes: Discrete
versus continuous time . . . . . . . . . 241--251
H. T. Banks and
P. Kareiva Parameter estimation techniques for
transport equations with application to
population dispersal and tissue bulk
flow models . . . . . . . . . . . . . . 253--273
J. L. Smth and
D. J. Wollkind Age structure in predator--prey systems:
Intraspecific carnivore interaction,
passive diffusion, and the paradox of
enrichment . . . . . . . . . . . . . . . 275--288
Ira M. Longini, Jr. Models of epidemics and endemicity in
genetically variable host populations 289--304
S. Busenberg and
K. L. Cooke and
M. A. Pozio Analysis of a model of a vertically
transmitted disease . . . . . . . . . . 305--329
W. Kilmer and
W. Kroll and
R. Pelosi On the stability of delay equation
models of simple human stretch reflexes 331--349
H. G. Othmer A continuum model for coupled cells . . 351--369
G. Gripenberg A stationary distribution for the growth
of a population subject to random
catastrophes . . . . . . . . . . . . . . 371--379
Anonymous Announcement . . . . . . . . . . . . . . 381--382
H.-R. Gregorius and
M. D. Ross and
E. Gillet Selection in plant populations of
effectively infinite size: IV. The
maintenance of males among
hermaphrodites for a biallelic model . . 1--12
A. D. Bazykin and
A. I. Khibnik and
E. A. Aponina A model of evolutionary appearance of
dissipative structure in ecosystems . . 13--23
T. G. Hallam and
C. E. Clark and
G. S. Jordan Effects of toxicants on populations: A
qualitative approach II. First order
kinetics . . . . . . . . . . . . . . . . 25--37
J. Bell and
C. Cosner Threshold conditions for a diffusive
model of a myelinated axon . . . . . . . 39--52
J. C. Misra and
K. Roy Choudhury (Sen) Effect of initial stresses on the wave
propagation in arteries . . . . . . . . 53--67
J. Honerkamp The heart as a system of coupled
nonlinear oscillators . . . . . . . . . 69--88
V. Hutson and
W. Moran and
G. T. Vickers On a criterion for survival of species
in models governed by difference
equations . . . . . . . . . . . . . . . 89--90
Anonymous Erratum . . . . . . . . . . . . . . . . 91--92
F. Solimano and
E. Beretta Existence of a globally asymptotically
stable equilibrium in Volterra models
with continuous time delay . . . . . . . 93--102
Inge S. Helland Diffusion models for the dispersal of
insects near an attractive center . . . 103--122
I. Eshel and
E. Akin Cevolutionary instability of mixed Nash
solutions . . . . . . . . . . . . . . . 123--133
O. Diekmann and
H. A. Lauwerier and
T. Aldenberg and
J. A. J. Metz Growth, fission and the stable size
distribution . . . . . . . . . . . . . . 135--148
Poul. E. Hansen Raising Leslie matrices to powers: a
method and applications to demography 149--161
C. C. Heyde An alternative approach to asymptotic
results on genetic composition when the
population size is varying . . . . . . . 163--168
J. D. Murray and
R. P. Sperb Minimum domains for spatial patterns in
a class of reaction diffusion equations 169--184
Anonymous Announcement . . . . . . . . . . . . . . 185--185
Anonymous Erratum . . . . . . . . . . . . . . . . 187--187
R. V. Jean Allometric relations in plant growth . . 189--200
R. Schoen Relationships in a simple harmonic mean
two-sex fertility model . . . . . . . . 201--211
K. Kishimoto and
M. Mimura and
K. Yoshida Stable spatio-temporal oscillations of
diffusive Lotka--Volterra system with
three or more species . . . . . . . . . 213--221
H. G. Klinger Relations between heat transfer in
perfused biological tissue and the local
symmetry components of the vascular
system . . . . . . . . . . . . . . . . . 223--231
Ira B. Schwartz and
H. L. Smith Infinite subharmonic bifurcation in an
SEIR epidemic model . . . . . . . . . . 233--253
J. K. Hale and
A. S. Somolinos Competition for fluctuating nutrient . . 255--280
M. Bertsch and
M. E. Gurtin and
D. Hilhorst and
L. A. Peletier On interacting populations that disperse
to avoid crowding: The effect of a
sedentary colony . . . . . . . . . . . . 1--12
T. Nagylaki Double recombinants in mitosis . . . . . 13--42
A. Lasota and
M. C. Mackey Globally asymptotic properties of
proliferating cell populations . . . . . 43--62
K. Beck Coevolution: Mathematical analysis of
host-parasite interactions . . . . . . . 63--77
K. Beck and
J. P. Keener and
P. Ricciardi The effect of epidemics on genetic
evolution . . . . . . . . . . . . . . . 79--94
Ruth Nussinov Effects of secondary structures in RNA
on interlocking probabilities . . . . . 95--107
Y. Iwasa and
E. Teramoto Branching-diffusion model for the
formation of distributional patterns in
populations . . . . . . . . . . . . . . 109--124
A. Novick-Cohen and
L. A. Segel A gradually slowing travelling band of
chemotactic bacteria . . . . . . . . . . 125--132
J. F. Belgrade and
G. Namkoong Dynamical behavior of differential
equation models of frequency and density
dependent populations . . . . . . . . . 133--146
M. E. Fisher and
B. S. Goh Stability results for
delayed-recruitment models in population
dynamics . . . . . . . . . . . . . . . . 147--156
K. Gopalsamy Global asymptotic stability in
Volterra's population systems . . . . . 157--168
S. Ellner Asymptotic behavior of some stochastic
difference equation population models 169--200
I. Eshel On the survival probability of a
slightly advantageous mutant gene in a
multitype population: A multidimensional
branching process model . . . . . . . . 201--209
M. C. Mackey and
U. an der Heiden The dynamics of recurrent inhibition . . 211--225
O. Diekmann and
H. J. A. M. Heijmans and
H. R. Thieme On the stability of the cell size
distribution . . . . . . . . . . . . . . 227--248
Axel Hunding Bifurcations of nonlinear
reaction--diffusion systems in oblate
spheroids . . . . . . . . . . . . . . . 249--263
J. D. Murray and
G. F. Oster Cell traction models for generating
pattern and form in morphogenesis . . . 265--279
S. F. Giszter and
S. G. Koreisha and
R. F. Franklin A vector autoregressive moving average
time series approach for describing
asymmetries of antennal control of two
millipede species . . . . . . . . . . . 281--302
J. Radcliffe and
L. Rass The uniqueness of wave solutions for the
deterministic non-reducible $n$-type
epidemic . . . . . . . . . . . . . . . . 303--308
J. Radcliffe and
L. Rass The spatial spread and final size of the
deterministic non-reducible $n$-type
epidemic . . . . . . . . . . . . . . . . 309--327
Günther Palm Evolutionary stable strategies and game
dynamics for $n$-person games . . . . . 329--334
S. Tuljapurkar Demography in stochastic environments.
I. Exact distributions of age structure 335--350
Anonymous Announcements . . . . . . . . . . . . . 351--351
Anonymous Gordon Research Conference on
Theoretical Biology and Biomathematics 353--354
Eusebius Doedel The computer-aided bifurcation analysis
of predator--prey models . . . . . . . . 1--14
Samuel Karlin and
Sabin Lessard On the optimal sex-ratio: A stability
analysis based on a characterization for
one-locus multiallele viability models 15--38
J. M. Mahaffy and
C. V. Pao Models of genetic control by repression
with time delays and spatial effects . . 39--57
Paul Creegan and
Roger Lui Some remarks about the wave speed and
travelling wave solutions of a nonlinear
integral operator . . . . . . . . . . . 59--68
Helle Aagaard-Hansen and
G. F. Yeo A stochastic discrete generation birth,
continuous death population growth model
and its approximate solution . . . . . . 69--90
Fred M. Hoppe Pólya-like urns and the Ewens' sampling
formula . . . . . . . . . . . . . . . . 91--94
M. Weiss A note on the rôle of generalized inverse
Gaussian distributions of circulatory
transit times in pharmacokinetics . . . 95--102
R. Dal Passo and
P. de Mottoni Aggregative effects for a
reaction--advection equation . . . . . . 103--112
Ethan Akin and
H. Michael Lacker Ovulation control: The right number or
nothing . . . . . . . . . . . . . . . . 113--132
W. L. Keith and
R. H. Rand 1:1 and 2:1 phase entrainment in a
system of two coupled limit cycle
oscillators . . . . . . . . . . . . . . 133--152
M. I. Granero-Porati and
A. Porati Temporal organization in a morphogenetic
field . . . . . . . . . . . . . . . . . 153--157
Hans-Rolf Gregorius Convergence of genotypic frequencies for
differential selfing and positive
assortative mating at a biallelic locus 159--169
W. Strittmatter and
J. Honerkamp Fibrillation of a cardiac region and the
tachycardia mode of a two-oscillator
system . . . . . . . . . . . . . . . . . 171--184
Silvia Totaro Algal growth dynamics under light
interaction: A nonlinear evolution
problem . . . . . . . . . . . . . . . . 185--201
David H. Anderson Spectral sensitivity in linear
biological models . . . . . . . . . . . 203--221
Joseph B. Keller Genetic variability due to geographical
inhomogeneity . . . . . . . . . . . . . 223--230
Ethan Akin and
Viktor Losert Evolutionary dynamics of zero-sum games 231--258
J. M. Cushing Existence and stability of equilibria in
age-structured population dynamics . . . 259--276
V. Comincioli and
A. Torelli and
C. Poggesi and
C. Reggiani A four-state cross bridge model for
muscle contraction. Mathematical study
and validation . . . . . . . . . . . . . 277--304
Stephen J. Merrill Stochastic models of tumor growth and
the probability of elimination by
cytotoxic cells . . . . . . . . . . . . 305--320
Uri Liberman On chiasma formation point processes
having the count location property . . . 1--10
William F. Pickard Nonlinear equivalent circuits for
membranes . . . . . . . . . . . . . . . 11--23
M. Saleem predator--prey relationships:
Indiscriminate predation . . . . . . . . 25--34
Alan Hastings Delays in recruitment at different
trophic levels: Effects on stability . . 35--44
K. P. Hadeler and
K. Dietz Population dynamics of killing parasites
which reproduce in the host . . . . . . 45--65
R. C. Griffiths Asymptotic line-of-descent distributions 67--75
G. P. Wagner On the eigenvalue distribution of
genetic and phenotypic dispersion
matrices: Evidence for a nonrandom
organization of quantitative character
variation . . . . . . . . . . . . . . . 77--95
Nanako Shigesada and
Kohkichi Kawasaki and
Ei Teramoto The effects of interference competition
on stability, structure and invasion of
a multi-species system . . . . . . . . . 97--113
H. J. A. M. Heijmans Holling's ``hungry mantid'' model for
the invertebrate functional response
considered as a Markov process. III.
Stable satiation distribution . . . . . 115--143
K. Gopalsamy Persistence in periodic and almost
periodic Lotka--Volterra systems . . . . 145--148
Svetlana Fishman and
Ruth Marcus A model for spread of plant disease with
periodic removals . . . . . . . . . . . 149--158
Giovanni Di Lena and
Gabriella Serio The identification of the periodic
behaviour in an epidemic model . . . . . 159--174
James P. Keener and
Leon Glass Global bifurcations of a periodically
forced nonlinear oscillator . . . . . . 175--190
D. A. Smith The role of convection in the standard
fluid-mechanical model for morphogenesis 191--203
A. Gimelfarb The significance of specific
distributions and functions in models of
quantitative inheritance . . . . . . . . 205--211
Anonymous Announcement . . . . . . . . . . . . . . 213--213
Thomas Nagylaki Biased intrachromosomal gene conversion
in a chromosome lineage . . . . . . . . 215--235
M. Arrigoni and
A. Steiner Logistisches Wachstum in fluktuierender
Umwelt. (German) [Logistic growth in a
fluctuating environment] . . . . . . . . 237--241
Witta Ebel Carrier facilitated diffusion . . . . . 243--271
Steven D. Woods and
Richard H. Rand and
H. David Block and
Donald C. Lewis Eye movements and the enhancement of
edges . . . . . . . . . . . . . . . . . 273--283
V. Hutson and
R. Law Permanent coexistence in general models
of three interacting species . . . . . . 285--298
R. B. Campbell Dimension reduction projection and our
perception of evolution . . . . . . . . 299--306
J. Weyer A mathematical model for chemical mass
recruitment of ants . . . . . . . . . . 307--315
Louis W. Botsford and
Thomas C. Wainwright Optimal fishery policy: An equilibrium
solution with irreversible investment 317--327
Joshua Chover and
James H. King The early growth of cancer . . . . . . . 329--346
Ira B. Schwartz Multiple stable recurrent outbreaks and
predictability in seasonally forced
nonlinear epidemic models . . . . . . . 347--361
Marc Artzrouni Generalized stable population theory . . 363--381
George F. Oster and
Alan S. Perelson Cell spreading and motility: A model
lamellipod . . . . . . . . . . . . . . . 383--388
Anonymous Erratum . . . . . . . . . . . . . . . . 389--389
G. Bard Ermentrout Synchronization in a pool of mutually
coupled oscillators with random
frequencies . . . . . . . . . . . . . . 1--9
William F. Pickard The concept of channel permeability . . 11--19
Peter Donnelly and
Neville Weber The Wright--Fisher model with temporally
varying selection and population size 21--29
Uri Liberman and
Marcus W. Feldman A symmetric two locus model with
viability and fertility selection . . . 31--60
John J. Tyson and
Kenneth B. Hannsgen Global asymptotic stability of the size
distribution in probabilistic models of
the cell cycle . . . . . . . . . . . . . 61--68
James F. Selgrade and
Gene Namkoong Stable periodic solutions for two
species, density dependent coevolution 69--80
Eiji Yanagida Stability of fast travelling pulse
solutions of the FitzHugh--Nagumo
equations . . . . . . . . . . . . . . . 81--104
Bernhard Thomas On evolutionarily stable sets . . . . . 105--115
Klaus Dietz and
Dieter Schenzle Proportionate mixing models for
age-dependent infection transmission . . 117--120
Anonymous Announcement . . . . . . . . . . . . . . 121--121
James P. Keener Oscillatory coexistence in a food chain
model with competing predators . . . . . 123--135
J. M. Mahaffy Stability of periodic solutions for a
model of genetic repression with delays 137--144
S. Busenberg and
M. Iannelli Separable models in age-dependent
population dynamics . . . . . . . . . . 145--173
Peter Arzberger A probabilistic and algebraic treatment
of regular inbreeding systems . . . . . 175--197
M. E. Fisher and
W. J. Grantham Estimating the effect of continual
disturbances on discrete-time population
models . . . . . . . . . . . . . . . . . 199--207
J. A. J. Metz and
F. H. D. van Batenburg Holling's ``hungry mantid'' model for
the invertebrate functional response
considered as a Markov process. Part I:
The full model and some of its limits 209--238
J. A. J. Metz and
F. H. D. van Batenburg Holling's ``hungry mantid'' model for
the invertebrate functional response
considered as a Markov process. Part II:
Negligible handling time . . . . . . . . 239--257
H. T. Banks and
P. M. Kareiva and
P. K. Lamm Modeling insect dispersal and estimating
parameters when mark-release techniques
may cause initial disturbances . . . . . 259--277
P. O'Brien Homozygosity in a population of variable
size and mutation rate . . . . . . . . . 279--291
Kenneth B. Hannsgen and
John J. Tyson Stability of the steady-state size
distribution in a model of cell growth
and division . . . . . . . . . . . . . . 293--301
M. G. Roberts Stability in cyclic epidemic models . . 303--311
Stavros Busenberg and
Joseph Mahaffy Interaction of spatial diffusion and
delays in models of genetic control by
repression . . . . . . . . . . . . . . . 313--333
H. Schwegler and
K. Tarumi and
B. Gerstmann Physico-chemical model of a protocell 335--348
Christoph Berding and
Georg Haubs On the stability of equilibria in
metabolic feedback systems . . . . . . . 349--352
Blanche L. McFarland and
H. Robert van der Vaart A discrete mathematical model of
unlabelled granulocyte kinetics . . . . 353--367
M. Bertsch and
M. E. Gurtin and
D. Hilhorst and
L. A. Peletier On interacting populations that disperse
to avoid crowding: preservation of
segregation . . . . . . . . . . . . . . 1--13
J. M. Cushing Equilibria in structured populations . . 15--39
Josef Hofbauer The selection mutation equation . . . . 41--53
G. B. Ermentrout The behavior of rings of coupled
oscillators . . . . . . . . . . . . . . 55--74
Martin Brokate Pontryagin's principle for control
problems in age-dependent population
dynamics . . . . . . . . . . . . . . . . 75--101
Peter Donnelly Dual processes and an invariance result
for exchangeable models in population
genetics . . . . . . . . . . . . . . . . 103--118
P. Grindrod and
B. D. Sleeman A model of a myelinated nerve axon:
threshold behaviour and propagation . . 119--135
Steven M. Baer and
Charles Tier An analysis of a dendritic neuron model
with an active membrane site . . . . . . 137--161
S. A. L. M. Kooijman What the hen can tell about her eggs:
egg development on the basis of energy
budgets . . . . . . . . . . . . . . . . 163--185
Wei-min Liu and
Simon A. Levin and
Yoh Iwasa Influence of nonlinear incidence rates
upon the behavior of SIRS
epidemiological models . . . . . . . . . 187--204
J. C. Alexander Spontaneous oscillations in two
$2$-component cells coupled by diffusion 205--219
R. Cressman and
A. T. Dash and
E. Akin Evolutionary games and two species
population dynamics . . . . . . . . . . 221--230
John J. Tyson and
Kenneth B. Hannsgen Cell growth and division: a
deterministic/probabilistic model of the
cell cycle . . . . . . . . . . . . . . . 231--246
Richard E. Plant and
L. T. Wilson Models for age structured populations
with distributed maturation rates . . . 247--262
Thomas D. Rogers and
Zhuo-Cheng Yang and
Lee-Wah Yip Complete chaos in a simple
epidemiological model . . . . . . . . . 263--268
G. F. Webb A model of proliferating cell
populations with inherited cycle length 269--282
Anonymous Erratum . . . . . . . . . . . . . . . . 283--283
Anonymous Announcements . . . . . . . . . . . . . 284--284
Marjorie A. Asmussen The dynamics of interlocus associations
in the three locus hitchhiking model . . 285--304
F. Andrietti Two-dimensional standing gradient
osmotic flow: a generalization of the
``isotonic convection approximation'' 305--318
Betty Tang Mathematical investigations of growth of
microorganisms in the gradostat . . . . 319--339
J. Radcliffe and
L. Rass The asymptotic speed of propagation of
the deterministic non-reducible $n$-type
epidemic . . . . . . . . . . . . . . . . 341--359
Alan S. Perelson and
Evangelos A. Coutsias A moving boundary model of acrosomal
elongation . . . . . . . . . . . . . . . 361--379
Gianpaolo Scalia-Tomba The asymptotic final size distribution
of reducible multitype Reed--Frost
processes . . . . . . . . . . . . . . . 381--392
Anonymous Announcement . . . . . . . . . . . . . . 393--393
Karl J. Niklas and
Vincent Kerchner Aerodynamics of Ephedra trifurca . . . . 1--24
Leah Edelstein-Keshet Mathematical theory for plant-herbivore
systems . . . . . . . . . . . . . . . . 25--58
Claude Lef\`evre Threshold behaviour for a chain-binomial
S-I-S infectious disease . . . . . . . . 59--70
Werner Timischl On the process of stabilization in the
renewal model: approximations for the
time to convergence . . . . . . . . . . 71--79
Mats Gyllenberg The size and scar distributions of the
yeast Saccharomyces cerevisiae . . . . . 81--101
Pierluigi Colli A mathematical model of heterogeneous
behavior of single muscle fibres . . . . 103--118
Anatoli I. Yashin and
Kenneth G. Manton and
Eric Stallard Dependent competing risks: a stochastic
process model . . . . . . . . . . . . . 119--140
P. Arcuri and
J. D. Murray Pattern sensitivity to boundary and
initial conditions in
reaction--diffusion models . . . . . . . 141--165
G. J. Butler and
G. S. K. Wolkowicz Predator-mediated competition in the
chemostat . . . . . . . . . . . . . . . 167--191
James F. Selgrade and
Gene Namkoong Examples of the effect of genetic
variation on competing species . . . . . 193--206
Richard R. Hudson and
Norman L. Kaplan On the divergence of members of a
transposable element family . . . . . . 207--215
Jacques Bélair Periodic pulsatile stimulation of a
nonlinear oscillator . . . . . . . . . . 217--232
G. M. Tallis On the joint asymptotic distribution of
additive genotype for polygenic
characters . . . . . . . . . . . . . . . 233--235
Kathleen Morrish Performance of one- and two-dimensional
models for a slow flow system in a long,
permeable tubule . . . . . . . . . . . . 237--258
Dennis Ryan and
Floyd B. Hanson Optimal harvesting of a logistic
population in an environment with
stochastic jumps . . . . . . . . . . . . 259--277
Gary A. Sod A numerical study of oxygen diffusion in
a spherical cell with the
Michaelis--Menten oxygen uptake kinetics 279--289
Carme Torras i Genís Entrainment in pacemakers characterized
by a V-shaped PRC . . . . . . . . . . . 291--312
Nelly Van der Hoeven Coexistence of incompatible plasmids in
a bacterial population living under a
feast and famine regime . . . . . . . . 313--325
Thomas G. Hallam and
Ma Zhien Persistence in population models with
demographic fluctuations . . . . . . . . 327--339
Reinhard Bürger On the maintenance of genetic variation:
global analysis of Kimura's
continuum-of-alleles model . . . . . . . 341--351
E. D. Rothman and
N. C. Weber A model of weak selection in the
infinite alleles framework . . . . . . . 353--360
Marjorie A. Asmussen The dynamics of interlocus associations
in the three-locus hitchhiking model . . 361--380
J. M. Cushing Periodic Lotka--Volterra competition
equations . . . . . . . . . . . . . . . 381--403
Marc Artzrouni The rate of convergence of a generalized
stable population . . . . . . . . . . . 405--422
James R. Brannan Relaxation spectra of interactive neural
systems . . . . . . . . . . . . . . . . 423--436
M. R. Beli\'c and
V. Skarka and
J. L. Deneubourg and
M. Lax Mathematical model of honeycomb
construction . . . . . . . . . . . . . . 437--449
R. Hugh Morton A three component model of human
bioenergetics . . . . . . . . . . . . . 451--466
S. Udayabaskaran and
G. Sudalaiyandi On a stochastic integral of a branching
process . . . . . . . . . . . . . . . . 467--472
K. P. Hadeler The hypercycle, traveling waves, and
Wright's equation . . . . . . . . . . . 473--477
W. M. Schaffer and
S. Ellner and
M. Kot Effects of noise on some dynamical
models in ecology . . . . . . . . . . . 479--523
A. S. Perelson and
P. K. Maini and
J. D. Murray and
J. M. Hyman and
G. F. Oster Nonlinear pattern selection in a
mechanical model for morphogenesis . . . 525--541
V. W. Noonburg Competing species model with behavioral
adaptation . . . . . . . . . . . . . . . 543--555
Marc Mangel Solution of functional difference
equations from behavioral theory . . . . 557--567
Shripad Tuljapurkar Demography in stochastic environments 569--581
Henjin Chi and
Jonathan Bell and
Brian Hassard Numerical solution of a nonlinear
advance-delay-differential equation from
nerve conduction theory . . . . . . . . 583--601
A. B. Roy and
F. Solimano Global stability and oscillations in
classical Lotka--Volterra loops . . . . 603--616
Linda J. S. Allen Persistence, extinction, and critical
patch number for island populations . . 617--625
J. M. Cushing Equilibria in systems of interacting
structured populations . . . . . . . . . 627--649
Alan Hastings Cycles in cannibalistic egg-larval
interactions . . . . . . . . . . . . . . 651--666
David S. Rumschitzki Spectral properties of Eigen evolution
matrices . . . . . . . . . . . . . . . . 667--680
Imke Janssen A stochastic repair-misrepair model for
the effects of radiation on cells . . . 681--689
Wolfgang Alt and
Douglas A. Lauffenburger Transient behavior of a chemotaxis
system modelling certain types of tissue
inflammation . . . . . . . . . . . . . . 691--722
Mithilesh Kumar Singh The gametic algebra for polyploidy with
several loci . . . . . . . . . . . . . . 723--727
Marc Mangel Opposition site selection and clutch
size in insects . . . . . . . . . . . . 1--22
W. Jäger and
Joseph W.-H. So and
Betty Tang and
Paul Waltman Competition in the gradostat . . . . . . 23--42
Morihiro Notohara Diallelic multilocus model of neutral
genes . . . . . . . . . . . . . . . . . 43--60
C. V. M. van der Mee and
P. F. Zweifel A Fokker--Planck equation for growing
cell populations . . . . . . . . . . . . 61--72
Laifu Liu and
J. E. Cohen Equilibrium and local stability in a
logistic matrix model for age-structured
populations . . . . . . . . . . . . . . 73--88
M. Saleem and
S. U. Siddiqui and
V. Gupta A mathematical model with young
predation . . . . . . . . . . . . . . . 89--101
W. J. Bühler A stochastic model of mutant growth . . 103--106
Anonymous Announcement . . . . . . . . . . . . . . 107--107
Axel Hunding Bifurcations in Turing systems of the
second kind may explain blastula
cleavage plane orientation . . . . . . . 109--121
Fred M. Hoppe The sampling theory of neutral alleles
and an urn model in population genetics 123--159
Simon Tavaré The birth process with immigration, and
the genealogical structure of large
populations . . . . . . . . . . . . . . 161--168
Hal Smith Oscillations and multiple steady states
in a cyclic gene model with repression 169--190
Thomas G. Hallam and
Ma Zhien On density and extinction in continuous
population models . . . . . . . . . . . 191--201
Jerry Nedelman and
Heather Downs and
Pamela Pharr Inference for an age-dependent,
multitype branching-process model of
mast cells . . . . . . . . . . . . . . . 203--226
Marc Mangel Erratum . . . . . . . . . . . . . . . . 227--227
R. T. Tranquillo and
D. A. Lauffenburger Stochastic model of leukocyte
chemosensory movement . . . . . . . . . 229--262
F. C. Hoppensteadt and
L. Murphy A mathematical analysis of small mammal
populations . . . . . . . . . . . . . . 263--274
B. Körner and
J. Weyer Mathematical models for some types of
chemical information systems . . . . . . 275--288
Carole L. Hom Control theory predictions of
reproductive allocation in female dusky
salamanders . . . . . . . . . . . . . . 289--306
Anthony G. Pakes Limit theorems for the population size
of a birth and death process allowing
catastrophes . . . . . . . . . . . . . . 307--325
Steven H. Strogatz Human sleep and circadian rhythms: a
simple model based on two coupled
oscillators . . . . . . . . . . . . . . 327--347
H. El-Owaidy and
M. A. Allam and
A. A. Ammar predator--prey systems with a perturbed
periodic carrying capacity . . . . . . . 349--358
Wei-min Liu and
Herbert W. Hethcote and
Simon A. Levin Dynamical behavior of epidemiological
models with nonlinear incidence rates 359--380
Peter Donnelly and
Simon Tavaré The population genealogy of the
infinitely-many neutral alleles model 381--391
H. P. Williams Evolution, games theory and polyhedra 393--409
Wolfgang Jansen A permanence theorem for replicator and
Lotka--Volterra systems . . . . . . . . 411--422
R. C. Griffiths Counting genealogical trees . . . . . . 423--431
Maithili Sharan and
A. Aminataei and
M. P. Singh A numerical study of the nonsteady
transport of gases in the pulmonary
capillaries . . . . . . . . . . . . . . 433--452
Kenichi Aoki Gene-culture waves of advance . . . . . 453--464
C. Cannings and
R. Law Conditions for the initial increase of
new alleles with frequency dependent
selection . . . . . . . . . . . . . . . 465--476
James F. Selgrade and
Martin Ziehe Convergence to equilibrium in a genetic
model with differential viability
between the sexes . . . . . . . . . . . 477--490
Mayer Landau and
Paco Lorente and
Jacques Henry and
Stephane Canu Hysteresis phenomena between periodic
and stationary solutions in a model of
pacemaker and nonpacemaker coupled
cardiac cells . . . . . . . . . . . . . 491--509
I. Nebenzahl Recall of associated memories . . . . . 511--519
Kenneth L. Cooke and
Helena E. Nusse Analysis of the complicated dynamics of
some harvesting models . . . . . . . . . 521--542
Yuri Kolker A piecewise-linear growth model:
comparison with competing forms in batch
culture . . . . . . . . . . . . . . . . 543--551
J. Hofbauer and
V. Hutson and
W. Jansen Coexistence for systems governed by
difference equations of Lotka--Volterra
type . . . . . . . . . . . . . . . . . . 553--570
Jerry Nedelman and
Heather Downs and
Pamela Pharr Erratum . . . . . . . . . . . . . . . . 571--571
Hong Jiang and
Thomas D. Rogers The discrete dynamics of symmetric
competition in the plane . . . . . . . . 573--596
Peter Grindrod and
Jagannathan Gomatam The geometry and motion of
reaction--diffusion waves on closed
two-dimensional manifolds . . . . . . . 597--610
Jagannathan Gomatam and
Peter Grindrod Three-dimensional waves in excitable
reaction--diffusion systems . . . . . . 611--622
Maria Koth and
Karl Sigmund Gradients for the evolution of bimatrix
games . . . . . . . . . . . . . . . . . 623--635
Philip Holgate and
Silvia D. A. Machado Recombination between several polyploid
loci . . . . . . . . . . . . . . . . . . 637--642
Masaru Iizuka Weak convergence of a sequence of
stochastic difference equations to a
stochastic ordinary differential
equation . . . . . . . . . . . . . . . . 643--652
John Rinzel and
Young Seek Lee Dissection of a model for neuronal
parabolic bursting . . . . . . . . . . . 653--675
Harry Gonshor Multi-algebra duplication . . . . . . . 677--683
Torsten Mattfeldt Volume estimation of biological objects
by systematic sections . . . . . . . . . 685--695
Anonymous Announcement . . . . . . . . . . . . . . 697--697
K. Dietz and
K. P. Hadeler Epidemiological models for sexually
transmitted diseases . . . . . . . . . . 1--25
Axel Hunding and
Preben Graae Sòrensen Size adaptation of Turing prepatterns 27--39
James P. Keener On the formation of circulating patterns
of excitation in anisotropic excitable
media . . . . . . . . . . . . . . . . . 41--56
Wayne Boucher Calculation of the inbreeding
coefficient . . . . . . . . . . . . . . 57--64
Lii-Perng Liou and
Kuo-Shung Cheng Global stability of a predator--prey
system . . . . . . . . . . . . . . . . . 65--71
Marcel Ovidiu Vlad Separable models for age-structured
population genetics . . . . . . . . . . 73--92
A. Farkas and
M. Farkas and
G. Szabó Multiparameter bifurcation diagrams in
predator--prey models with time lag . . 93--103
J. C. Misra and
G. C. Bera and
S. Samanta Induced electric and magnetic fields due
to wave propagation in a tubular bone 105--120
Wayne Boucher and
Thomas Nagylaki Regular systems of inbreeding . . . . . 121--142
E. Beretta and
G. I. Bischi and
F. Solimano Oscillations in a system with material
cycling . . . . . . . . . . . . . . . . 143--167
Manuel Rotenberg Mappings of the plane that simulate
prey-predator systems . . . . . . . . . 169--191
D. R. Grey Harvesting under density-dependent
mortality and fecundity . . . . . . . . 193--197
J. B. T. M. Roerdink The biennial life strategy in a random
environment . . . . . . . . . . . . . . 199--215
Gabriela Kirlinger Permanence of some ecological systems
with several predator and one prey
species . . . . . . . . . . . . . . . . 217--232
Anonymous Announcement . . . . . . . . . . . . . . 233--233
Renu Chipalkatti and
Michael A. Arbib The cue interaction model of depth
perception: a stability analysis . . . . 235--262
H. G. Othmer and
S. R. Dunbar and
W. Alt Models of dispersal in biological
systems . . . . . . . . . . . . . . . . 263--298
H. R. Thieme Well-posedness of physiologically
structured population models for
\bionameDaphnia magna . . . . . . . . . 299--317
Michel Langlais Large time behavior in a nonlinear
age-dependent population dynamics
problem with spatial diffusion . . . . . 319--346
Michael E. Moody A branching process model for the
evolution of transposable elements . . . 347--357
Anonymous Announcement . . . . . . . . . . . . . . 359--359
D. P. Hardin and
P. Takác and
G. F. Webb Asymptotic properties of a
continuous-space discrete-time
population model in a random environment 361--374
M. Mesterton-Gibbons On the optimal compromise for a
dispersing parasitoid . . . . . . . . . 375--385
N. F. Britton A singular dispersion relation arising
in a caricature of a model for
morphogenesis . . . . . . . . . . . . . 387--403
Anthony G. Pakes The supercritical birth, death and
catastrophe process: Limit theorems on
the set of non-extinction . . . . . . . 405--420
Jia Li and
T. G. Hallam Survival in continuous structured
populations models . . . . . . . . . . . 421--433
S. Doi and
S. Sato Regulation of differentiation in a
population of cells interacting through
a common pool . . . . . . . . . . . . . 435--454
J. B. Garner and
R. B. Kellogg Existence and uniqueness of solutions in
general multisolute renal flow problems 455--464
Joanna Tyrcha Asymptotic stability in a generalized
probabilistic/deterministic model of the
cell cycle . . . . . . . . . . . . . . . 465--475
U. Liberman External stability and ESS: criteria for
initial increase of new mutant allele 477--485
G. DeYoung and
P. B. Monk and
H. G. Othmer Pacemakers in aggregation fields of
\bionameDictyostelium discoideum: does a
single cell suffice? . . . . . . . . . . 487--517
Peter Arzberger An example of a regular inbreeding
system with cubic ancestral growth that
preserves some genetic variability . . . 519--533
Peter Arzberger Results for generalized regular
inbreeding systems . . . . . . . . . . . 535--550
M. O. Bergh and
W. M. Getz Stability of discrete age-structured and
aggregated delay-difference population
models . . . . . . . . . . . . . . . . . 551--581
Roger Lui Convergence to constant equilibrium for
a density-dependent selection model with
diffusion . . . . . . . . . . . . . . . 583--592
Anonymous Announcement . . . . . . . . . . . . . . 593--593
F. B. Christiansen Epistasis in the multiple locus
symmetric viability model . . . . . . . 595--618
F. van den Bosch and
A. M. de Roos and
W. Gabriel Cannibalism as a life boat mechanism . . 619--633
K. P. Hadeler and
R. Waldstätter and
A. Wörz-Busekros Models for pair formation in bisexual
populations . . . . . . . . . . . . . . 635--649
Peter Grindrod Models of individual aggregation or
clustering in single and multi-species
communities . . . . . . . . . . . . . . 651--660
E. Beretta and
V. Capasso and
F. Rinaldi Global stability results for a
generalized Lotka--Volterra system with
distributed delays . . . . . . . . . . . 661--688
C. L. Frenzen and
P. K. Maini Enzyme kinetics for a two-step enzymic
reaction with comparable initial
enzyme-substrate ratios . . . . . . . . 689--703
Dulal Pal and
N. Rudraiah and
Rathna Devanathan The effects of slip velocity at a
membrane surface on blood flow in the
microcirculation . . . . . . . . . . . . 705--712
T. Namba Competition for space in a heterogeneous
environment . . . . . . . . . . . . . . 1--16
S. N. Ethier and
Thomas Nagylaki Diffusion approximations of the
two-locus Wright--Fisher model . . . . . 17--28
A. T. James and
J. T. Wiskich and
R. A. J. Conyers Statistical modelling of mitochondrial
power supply . . . . . . . . . . . . . . 29--48
H. W. Hethcote and
M. A. Lewis and
P. van den Driessche An epidemiological model with a delay
and a nonlinear incidence rate . . . . . 49--64
J. Furter and
M. Grinfeld Local vs. non-local interactions in
population dynamics . . . . . . . . . . 65--80
M. Abundo and
C. Rossi Numerical simulation of a stochastic
model for cancerous cells submitted to
chemotherapy . . . . . . . . . . . . . . 81--90
K. J. Brown and
S. S. Lin and
A. Tertikas Existence and nonexistence of
steady-state solutions for a
selection--migration model in population
genetics . . . . . . . . . . . . . . . . 91--104
N. Limi\'c On stochastic compartmental models . . . 105--113
Anonymous Announcement . . . . . . . . . . . . . . 115--116
P. L. Chesson and
S. Ellner Invasibility and stochastic boundedness
in monotonic competition models . . . . 117--138
Hal Smith and
Betty Tang Competition in the gradostat: the role
of the communication rate . . . . . . . 139--165
R. Bartoszynski and
W. J. Bühler and
Wenyaw Chan and
D. K. Pearl Population processes under the influence
of disasters occurring independently of
population size . . . . . . . . . . . . 167--178
H. J. Bremermann and
H. R. Thieme A competitive exclusion principle for
pathogen virulence . . . . . . . . . . . 179--190
Mirjam Kretzschmar A renewal equation with a birth-death
process as a model for parasitic
infections . . . . . . . . . . . . . . . 191--221
B. Aulbach and
D. Flockerzi The past in short hypercycles . . . . . 223--231
C. Castillo-Chavez and
H. W. Hethcote and
V. Andreasen and
S. A. Levin and
W. M. Liu Epidemiological models with age
structure, proportionate mixing, and
cross-immunity . . . . . . . . . . . . . 233--258
L. Gardini and
R. Lupini and
M. G. Messia Hopf bifurcation and transition to chaos
in Lotka--Volterra equation . . . . . . 259--272
M. Mesterton-Gibbons On compromise in foraging and an
experiment by Krebs et al. (1977) . . . 273--296
J. H. Swart Viable controls in age-dependent
population dynamics . . . . . . . . . . 297--308
J. B. T. M. Roerdink The biennial life strategy in a random
environment . . . . . . . . . . . . . . 309--319
A. G. Pakes A complementary note on the
supercritical birth, death and
catastrophe process . . . . . . . . . . 321--325
L. J. Cromme and
I. E. Dammasch Compensation type algorithms for neural
nets: stability and convergence . . . . 327--340
O. Arino and
M. Kimmel Asymptotic behavior of a nonlinear
functional-integral equation of cell
kinetics with unequal division . . . . . 341--354
T. Darden and
N. L. Kaplan and
R. R. Hudson A numerical method for calculating
moments of coalescent times in finite
populations with selection . . . . . . . 355--368
Artur Scheib Analysis of a model for random
competition . . . . . . . . . . . . . . 369--372
C. Castillo-Chavez and
K. Cooke and
W. Huang and
S. A. Levin On the role of long incubation periods
in the dynamics of acquired
immunodeficiency syndrome (AIDS) . . . . 373--398
G. B. Schaalje and
H. R. van der Vaart Relationships among recent models for
insect population dynamics with variable
rates of development . . . . . . . . . . 399--428
Mark Kirkpatrick and
Nancy Heckman A quantitative genetic model for growth,
shape, reaction norms, and other
infinite-dimensional characters . . . . 429--450
S. Ellner Convergence to stationary distributions
in two-species stochastic competition
models . . . . . . . . . . . . . . . . . 451--462
J. Swetina First and second moments and the mean
Hamming distance in a stochastic
replication--mutation model for
biological macromolecules . . . . . . . 463--483
Koji Kurata and
Kazuo Kisimoto and
Eiji Yanagida The asymptotic
transectional/circumferential
homogeneity of the solutions of
reaction--diffusion systems in/on
cylinder-like domains . . . . . . . . . 485--490
R. R. Vance and
E. A. Coddington A nonautonomous model of population
growth . . . . . . . . . . . . . . . . . 491--506
P. K. Maini Spatial and spatio-temporal patterns in
a cell-haptotaxis model . . . . . . . . 507--522
Michael J. Harrison The cubic growth of AIDS cases: General
dependence on early infection rates and
distribution of times to appearance of
clinical symptoms . . . . . . . . . . . 523--535
J. Hofbauer and
K. Sigmund On the stabilizing effect of predators
and competitors on ecological
communities . . . . . . . . . . . . . . 537--548
Mirjam Kretzschmar Persistent solutions in a model for
parasitic infections . . . . . . . . . . 549--573
E. L. McCoy The strain energy function in axial
plant growth . . . . . . . . . . . . . . 575--594
Shay Gueron and
Nadav Liron A model of herd grazing as a travelling
wave, chemotaxis and stability . . . . . 595--608
K. P. Hadeler and
H. I. Freedman predator--prey populations with
parasitic infection . . . . . . . . . . 609--631
K. Kunisch and
H. Scheich Parameter estimation in a special
reaction--diffusion system modelling
man-environment diseases . . . . . . . . 633--665
R. C. Griffiths Genealogical-tree probabilities in the
infinitely-many-site model . . . . . . . 667--680
A. Frigessi and
F. den Hollander A stochastic model for the membrane
potential of a stimulated neuron . . . . 681--692
P. Cerrai On a mathematical model for body tissue
inflammation . . . . . . . . . . . . . . 693--706
Marco V. José On the solution of mathematical models
of herd immunity in human helminth
infections . . . . . . . . . . . . . . . 707--715
Anonymous Announcements . . . . . . . . . . . . . 717--717
D. P. Hardin and
P. Takác and
G. F. Webb Dispersion population models discrete in
time and continuous in space . . . . . . 1--20
J. B. Walsh Inconsistencies in standard
approximations for selection
coefficients at loci affecting a
polygenic character . . . . . . . . . . 21--31
M. C. Mackey and
J. G. Milton A deterministic approach to survival
statistics . . . . . . . . . . . . . . . 33--48
R. H. Morton Modelling human power and endurance . . 49--64
A. Pugliese Population models for diseases with no
recovery . . . . . . . . . . . . . . . . 65--82
P. Hess and
H. Weinberger Convergence to spatial-temporal clines
in the Fisher equation with
time-periodic fitnesses . . . . . . . . 83--98
E. Beretta and
G. I. Bischi and
F. Solimano Stability in chemostat equations with
delayed nutrient recycling . . . . . . . 99--111
I. Nebenzahl and
Y. Albeck The storage and recall of auditory
memory . . . . . . . . . . . . . . . . . 113--119
P. Colli Franzone and
L. Guerri and
S. Rovida Wavefront propagation in an activation
model of the anisotropic cardiac tissue:
asymptotic analysis and numerical
simulations . . . . . . . . . . . . . . 121--176
F. Awiszus and
J. Dehnhardt and
T. Funke The singularly perturbed Hodgkin--Huxley
equations as a tool for the analysis of
repetitive nerve activity . . . . . . . 177--195
M. H. Martin and
M. H. M. Goldsmith and
T. H. Goldsmith On polar auxin transport in plant cells 197--223
W. L. Chan and
B. Z. Guo Global behaviour of age-dependent
logistic population models . . . . . . . 225--235
Marc Mangel Evolutionary optimization and neural
network models of behavior . . . . . . . 237--256
S. Busenberg and
P. van den Driessche Analysis of a disease transmission model
in a population with varying size . . . 257--270
M. Artzrouni On transient effects in the HIV/AIDS
epidemic . . . . . . . . . . . . . . . . 271--291
W. Boucher and
C. W. Cotterman On the classification of regular systems
of inbreeding . . . . . . . . . . . . . 293--305
P. K. Maini Superposition of modes in a caricature
of a model for morphogenesis . . . . . . 307--315
J. B. Garner Mathematical analysis of multisolute
renal flow in a single nephron model of
the kidney . . . . . . . . . . . . . . . 317--327
A. Hastings Maintenance of polygenic variation
through mutation--selection balance:
bifurcation analysis of a biallelic
model . . . . . . . . . . . . . . . . . 329--340
Helmar Nunes Moreira On Liénard's equation and the uniqueness
of limit cycles in predator--prey
systems . . . . . . . . . . . . . . . . 341--354
D. S. Pal and
S. Pal Prediction of temperature profiles in
the human skin and subcutaneous tissues 355--364
O. Diekmann and
J. A. P. Heesterbeek and
J. A. J. Metz On the definition and the computation of
the basic reproduction ratio $ R_0 $ in
models for infectious diseases in
heterogeneous populations . . . . . . . 365--382
W. Krawcewicz and
T. D. Rogers Perfect harmony: the discrete dynamics
of cooperation . . . . . . . . . . . . . 383--410
H. Inaba Threshold and stability results for an
age-structured epidemic model . . . . . 411--434
Uri Liberman Mendelian segregation: a choice between
``order'' and ``chaos'' . . . . . . . . 435--449
F. Brauer Models for the spread of universally
fatal diseases . . . . . . . . . . . . . 451--462
Y. Kuang Global stability of Gause-type
predator--prey systems . . . . . . . . . 463--474
Alan Hastings Second-order approximations for
selection coefficients at polygenic loci 475--483
Anonymous Announcement . . . . . . . . . . . . . . 485--485
N. Stockbridge and
N. Yamoah Excitability changes in the crustacean
motor axon following activity . . . . . 487--499
H. T. Banks and
B. G. Fitzpatrick Statistical methods for model comparison
in parameter estimation problems for
distributed systems . . . . . . . . . . 501--527
F. van den Bosch and
J. A. J. Metz and
O. Diekmann The velocity of spatial population
expansion . . . . . . . . . . . . . . . 529--565
J. Totafurno and
M. Bjerknes and
M. J. Allen and
H. Cheng Theoretical analysis of the flow of
cells over villi of the small intestine 567--584
C. Bri\`ere and
B. C. Goodwin Effects of calcium input/output on the
stability of a system for
calcium-regulated viscoelastic strain
fields . . . . . . . . . . . . . . . . . 585--593
Rajeshwari Sridhara and
Ray Watson Stochastic three species systems . . . . 595--607
A. M. De Roos and
J. A. J. Metz and
E. Evers and
A. Leipoldt A size dependent predator--prey
interaction: who pursues whom? . . . . . 609--643
R. R. Vance A general dynamical model of one
consumer-one resource interactions . . . 645--669
M. Gyllenberg and
G. F. Webb A nonlinear structured population model
of tumor growth with quiescence . . . . 671--694
F. R. Adler Coexistence of two types on a single
resource in discrete time . . . . . . . 695--713
F. Cervantes-Pérez and
M. A. Arbib Stability and parameter dependency
analysis of a facilitation tectal column
(FTC) model . . . . . . . . . . . . . . 1--32
Leah Edelstein-Keshet and
G. Bard Ermentrout Models for contact-mediated pattern
formation: cells that form parallel
arrays . . . . . . . . . . . . . . . . . 33--58
M. Notohara The coalescent and the genealogical
process in geographically structured
population . . . . . . . . . . . . . . . 59--75
L. F. Murphy and
S. J. Smith Optimal harvesting of an age-structured
population . . . . . . . . . . . . . . . 77--90
R. Sridhara Inference on system parameters in a
model for interacting species . . . . . 91--97
F. B. Christiansen The generalized multiplicative model for
viability selection at multiple loci . . 99--129
S. N. Ethier and
R. C. Griffiths On the two-locus sampling distribution 131--159
S. Karlin and
U. Liberman Global convergence properties in
multilocus viability selection models:
the additive model and the
Hardy--Weinberg law . . . . . . . . . . 161--176
R. L. Voller Solving Volterra--Lotka systems with
diffusion by monotone iteration . . . . 177--187
A. R. Solow A note on the statistical properties of
animal locations . . . . . . . . . . . . 189--193
G. B. Ermentrout and
N. Kopell Multiple pulse interactions and
averaging in systems of coupled neural
oscillators . . . . . . . . . . . . . . 195--217
M. Mimura and
S.-I. Ei and
Q. Fang Effect of domain-shape on coexistence
problems in a competition--diffusion
system . . . . . . . . . . . . . . . . . 219--237
R. Lui Positive solutions of an elliptic system
arising from a model in evolutionary
ecology . . . . . . . . . . . . . . . . 239--250
M. Mesterton-Gibbons An escape from `the prisoner's dilemma` 251--269
H. W. Hethcote and
P. van den Driessche Some epidemiological models with
nonlinear incidence . . . . . . . . . . 271--287
O. Arino and
M. Kimmel Asymptotic behavior of nonlinear
semigroup describing a model of
selective cell growth regulation . . . . 289--314
R. S. Cantrell and
C. Cosner The effects of spatial heterogeneity in
population dynamics . . . . . . . . . . 315--338
D. J. Wollkind and
J. B. Collings and
M. C. B. Barba Diffusive instabilities in a
one-dimensional temperature-dependent
model system for a mite predator--prey
interaction on fruit trees: dispersal
motility and aggregative preytaxis
effects . . . . . . . . . . . . . . . . 339--362
M. Kubo and
M. Langlais Periodic solutions for a population
dynamics problem with age-dependence and
spatial structure . . . . . . . . . . . 363--378
V. Krivan Construction of population growth
equations in the presence of viability
constraints . . . . . . . . . . . . . . 379--387
J. A. Sherratt and
J. D. Murray Mathematical analysis of a basic model
for epidermal wound healing . . . . . . 389--404
J. C. Alexander and
Da-Yong Cai On the dynamics of bursting systems . . 405--423
S. Schuster and
R. Heinrich Minimization of intermediate
concentrations as a suggested optimality
principle for biochemical networks . . . 425--442
S. Schuster and
R. Schuster and
R. Heinrich Minimization of intermediate
concentrations as a suggested optimality
principle for biochemical networks . . . 443--455
J. M. Cushing and
Jia Li Juvenile versus adult competition . . . 457--473
S. Mazzullot and
M. Paolini and
C. Verdi Numerical simulation of thermal bone
necrosis during cementation of femoral
prostheses . . . . . . . . . . . . . . . 475--494
M. Abundo A stochastic model for predator--prey
systems: basic properties, stability and
computer simulation . . . . . . . . . . 495--511
T. Takada and
J. Kigami The dynamical attainability of ESS in
evolutionary games . . . . . . . . . . . 513--529
C. K. Hayes A new traveling-wave solution of
Fisher's equation with density-dependent
diffusivity . . . . . . . . . . . . . . 531--537
O. Diekmann and
M. Kretzschmar Patterns in the effects of infectious
diseases on population growth . . . . . 539--570
B. Ermentrout An adaptive model for synchrony in the
firefly \bionamePteroptyx malaccae . . . 571--585
Joseph M. Szucs Selection and mutation at a diallelic
$X$-linked locus . . . . . . . . . . . . 587--627
James P. Keener An eikonal-curvature equation for action
potential propagation in myocardium . . 629--651
U. Liberman Multilocus autosomal sex determination 653--669
Masaru Iizukah and
Yukio Ogura Convergence of one-dimensional diffusion
processes to a jump process related to
population genetics . . . . . . . . . . 671--687
F. C. Hoppensteadt The searchlight hypothesis . . . . . . . 689--691
Joseph M. Szucs Selection at a diallelic autosomal locus
in a dioecious population . . . . . . . 693--713
Feng Yang and
H. I. Freedman Competing predators for a prey in a
chemostat model with periodic nutrient
input . . . . . . . . . . . . . . . . . 715--732
Sergio Invernizzi and
Giulia Treu Quantitative analysis of the Hopf
bifurcation in the Goodwin
$n$-dimensional metabolic control system 733--742
Christopher J. Basten and
Michael E. Moody A branching-process model for the
evolution of transposable elements
incorporating selection . . . . . . . . 743--761
R. C. Griffiths Which locus has the oldest allele? . . . 763--777
Xiaodong Lin On the uniqueness of endemic equilibria
of an HIV/AIDS transmission model for a
heterogeneous population . . . . . . . . 779--790
Anonymous Announcement . . . . . . . . . . . . . . 791--791
Joseph M. Szucs Selection--mutation at a diallelic
autosomal locus in a dioecious
population . . . . . . . . . . . . . . . 1--14
H. I. Freedman and
J. B. Shukla Models for the effect of toxicant in
single-species and predator--prey
systems . . . . . . . . . . . . . . . . 15--30
H. L. Smith Equilibrium distribution of species
among vessels of a gradostat . . . . . . 31--48
Liu Huaping and
Ma Zhien The threshold of survival for system of
two species in a polluted environment 49--61
Donat-P. Häder and
Kurt Vogel Simultaneous tracking of flagellates in
real time by image analysis . . . . . . 63--72
Immanuel M. Bomze Cross entropy minimization in
uninvadable states of complex
populations . . . . . . . . . . . . . . 73--87
R. Cressman and
A. T. Dash Strong stability and evolutionarily
stable strategies with two types of
players . . . . . . . . . . . . . . . . 89--99
A. J. Hall and
G. C. Wake and
P. W. Gandar Steady size distributions for cells in
one-dimensional plant tissues . . . . . 101--123
H. T. Banks and
L. W. Botsford and
F. Kappel and
C. Wane Estimation of growth and survival in
size-structured cohort data: an
application to larval striped bass
(\bionameMorone saxatilis) . . . . . . . 125--150
Eric P. Salathe and
Yao-Huan Xu Non-linear phenomena in oxygen transport
to tissue . . . . . . . . . . . . . . . 151--160
John E. Franke and
Abdul-Aziz Yakubu Mutual exclusion versus coexistence for
discrete competitive systems . . . . . . 161--168
Toshitaka Nagai and
Tsutomu Ikeda Traveling waves in a chemotactic model 169--184
Hans-Rolf Gregorius Establishment of allelic two-locus
polymorphisms . . . . . . . . . . . . . 185--197
Reinhard Burger Moments, cumulants, and polygenic
dynamics . . . . . . . . . . . . . . . . 199--213
Yoshihiro Mogami and
Jörg Pernberg and
Hans Machemer Ciliary beating in three dimensions:
Steps of a quantitative description . . 215--249
William S. C. Gurney and
Philip H. Crowley and
Roger M. Nisbet Locking life-cycles onto seasons:
Circle-map models of population dynamics
and local adaptation . . . . . . . . . . 251--279
Michael J. Jenkins and
James Sneyd and
Scott Camazine and
J. D. Murray On a simplified model for pattern
formation in honey bee colonies . . . . 281--306
Uwe Timm and
Akira Okubo Diffusion-driven instability in a
predator--prey system with time-varying
diffusivities . . . . . . . . . . . . . 307--320
Karl Oelschläger The spread of a parasitic infection in a
spatially distributed host population 321--354
Ding da-fu and
John Totafurno and
L. E. H. Trainor Bifurcation analysis of a nonlinear
field model of regeneration . . . . . . 355--377
Alan Hastings Second-order approximations for
selection coefficients at polygenic loci 379--388
M. R. Myerscough and
B. F. Gray and
W. L. Hogarth and
J. Norbury An analysis of an ordinary differential
equation model for a two-species
predator--prey system with harvesting
and stocking . . . . . . . . . . . . . . 389--411
Mark Kot Discrete-time travelling waves:
Ecological examples . . . . . . . . . . 413--436
Ovide Arino and
Abdessamad Mortabit A periodicity result for a nonlinear
functional integral equation . . . . . . 437--456
V. C. L. Hutson and
G. T. Vickers Travelling waves and dominance of ESS's 457--471
Ira B. Schwartz Small amplitude, long period outbreaks
in seasonally driven epidemics . . . . . 473--491
P. Hahnfeldt and
R. K. Sachse and
L. R. Hlatky Evolution of DNA damage in irradiated
cells . . . . . . . . . . . . . . . . . 493--511
Masayasu Mitnura and
Ryo Kobayashi and
Tohru Tsujikawa Formation of band-type electric patterns
in Characean cells . . . . . . . . . . . 513--545
Fred M. Hoppe Asymptotic rates of growth of the
extinction probability of a mutant gene 547--566
Fred M. Hoppe The survival probability of a mutant in
a multidimensional population . . . . . 567--575
K. B. Athreya Rates of decay for the survival
probability of a mutant gene . . . . . . 577--581
Edward Pollak Survival probabilities for some
multitype branching processes in
genetics . . . . . . . . . . . . . . . . 583--596
Peter F. Stadler and
Peter Schuster Mutation in autocatalytic reaction
networks . . . . . . . . . . . . . . . . 597--632
Bradley J. Roth How the anisotropy of the intracellular
and extracellular conductivities
influences stimulation of cardiac muscle 633--646
Xiaodong Lin and
P. van den Driessche A threshold result for an
epidemiological model . . . . . . . . . 647--654
J. López-Gómez and
R. Pardo San Gil Coexistence in a simple food chain with
diffusion . . . . . . . . . . . . . . . 655--668
Joseph M. Mahaffy and
David A. Jorgensen and
Robert L. Vanderheyden Oscillations in a model of repression
with external control . . . . . . . . . 669--691
Jaime Mena-Lorcat and
Herbert W. Hethcote Dynamic models of infectious diseases as
regulators of population sizes . . . . . 693--716
Linda Q. Gao and
Herbert W. Hethcote Disease transmission models with
density-dependent demographics . . . . . 717--731
Fabio A. Milner and
Guglielno Rabbiolo Rapidly converging numerical algorithms
for models of population dynamics . . . 733--753
Horst R. Thieme Convergence results and a
Poincaré--Bendixson trichotomy for
asymptotically autonomous differential
equations . . . . . . . . . . . . . . . 755--763
Wayne Boucher Global analysis of a two-allele mating
system . . . . . . . . . . . . . . . . . 765--773
Andrzej Lasota and
Michael C. Mackey and
Joanna Tyrcha The statistical dynamics of recurrent
biological events . . . . . . . . . . . 775--800
Steven J. Smith Maximum sustainable yield of a density
dependent sex-age-structured population
model . . . . . . . . . . . . . . . . . 801--814
James F. Selgrade and
Gene Namkoong Dynamical behavior for population
genetics models of differential and
difference equations with nonmonotone
fitnesses . . . . . . . . . . . . . . . 815--826
J. J. Collins and
I. N. Stewart Symmetry-breaking bifurcation: A
possible mechanism for $ 2 \colon 1 $
frequency-locking in animal locomotion 827--838
Milo D. Adkison Parameter estimation for models of
chaotic time series . . . . . . . . . . 839--852
Betty Tang and
Gail S. K. Wolkowicz Mathematical models of microbial growth
and competition in the chemostat
regulated by cell-bound extracellular
enzymes . . . . . . . . . . . . . . . . 1--23
M. A. Lewis and
J. D. Murray Analysis of dynamic and stationary
pattern formation in the cell cortex . . 25--71
Marc Artzrouni A modeled time-varying density function
for the incubation period of AIDS . . . 73--99
P. Holgate The multilocus Hardy--Weinberg law . . . 101--106
H. Gradl and
S. Walcher On continuous time models in genetic and
Bernstein algebras . . . . . . . . . . . 107--113
Morihiro Notohara The strong-migration limit for the
genealogical process in geographically
structured populations . . . . . . . . . 115--122
Morihiro Notohara The genealogical process of neutral
genes with mutation in geographically
structured populations . . . . . . . . . 123--132
Leonid V. Kalachev A relaxation wave solution of the
FitzHugh--Nagumo equations . . . . . . . 133--147
Wayne Boucher A deterministic analysis of
self-incompatibility alleles . . . . . . 149--155
A. D. Barbour and
Maria Kafetzaki A host-parasite model yielding
heterogeneous parasite loads . . . . . . 157--176
Lev A. Zhivotovsky and
Marcus W. Feldman On the probability of loss of new
mutations in the presence of linkage
disequilibrium . . . . . . . . . . . . . 177--188
P. Blanchard and
Ph. Combe and
H. Nencka and
R. Rodriguez Stochastic dynamical aspects of neuronal
activity . . . . . . . . . . . . . . . . 189--198
W. J. Braun and
R. J. Kulperger Differential equations for moments of an
interacting particle process on a
lattice . . . . . . . . . . . . . . . . 199--214
Tsutomu Ikeda and
Masayasu Mimura An interfacial approach to regional
segregation of two competing species
mediated by a predator . . . . . . . . . 215--240
R. B. Campbell Half-sib mating structures . . . . . . . 241--252
Shripad Tuljapurkar Entropy and convergence in dynamics and
demography . . . . . . . . . . . . . . . 253--271
C. C. Chicone and
Z.-S. Cai and
P. D. King and
E. L. Forker A parameter identification problem
arising from a model of canalicular bile
formation . . . . . . . . . . . . . . . 273--289
R. K. Sachs and
P. Chen and
P. Hahnfeldt and
D. Lai and
L. R. Hlatky DNA damage in non-proliferating cells
subjected to ionizing irradiation at
high or low dose rates . . . . . . . . . 291--315
Joseph M. Szucs Equilibria and dynamics of selection at
a diallelic autosomal locus in the
Nagylaki--Crow continuous model of a
monoecious population . . . . . . . . . 317--349
Lisa Holden and
Thomas Erneux Understanding bursting oscillations as
periodic slow passages through
bifurcation and limit points . . . . . . 351--365
Jacques A. L. Silva and
Thomas G. Hallam Effects of delay, truncations and
density dependence in reproduction
schedules on stability of nonlinear
Leslie matrix models . . . . . . . . . . 367--395
Sergey Gavrilets Equilibria in an epistatic viability
model under arbitrary strength of
selection . . . . . . . . . . . . . . . 397--410
G. T. Vickers and
V. C. L. Hutson and
C. J. Budd Spatial patterns in population conflicts 411--430
M. A. J. Chaplain and
B. D. Sleeman Modelling the growth of solid tumours
and incorporating a method for their
classification using nonlinear
elasticity theory . . . . . . . . . . . 431--473
Gilbert A. Chauvet Non-locality in biological systems
results from hierarchy . . . . . . . . . 475--486
Wei-min Liu Dose-dependent latent period and
periodicity of infectious diseases . . . 487--494
W. R. Derrick and
P. van den Driessche A disease transmission model in a
nonconstant population . . . . . . . . . 495--512
H. I. Freedman and
Xu Yuantong Models of competition in the chemostat
with instantaneous and delayed nutrient
recycling . . . . . . . . . . . . . . . 513--527
J. A. P. Heesterbeek and
J. A. J. Metz The saturating contact rate in marriage-
and epidemic models . . . . . . . . . . 529--539
Torsten Lindström Qualitative analysis of a predator--prey
system with limit cycles . . . . . . . . 541--561
Richard B. Dickinson and
Robert T. Tranquillo A stochastic model for adhesion-mediated
cell random motility and haptotaxis . . 563--600
Joseph M. Szucs Equilibria and dynamics of selection at
a diallelic autosomal locus in the
Nagylaki--Crow continuous model of a
monoecious population with random mating 601--609
F. Kappel and
R. O. Peer A mathematical model for fundamental
regulation processes in the
cardiovascular system . . . . . . . . . 611--631
Shigui Ruan Persistence and coexistence in
zooplankton-phytoplankton-nutrient
models with instantaneous nutrient
recycling . . . . . . . . . . . . . . . 633--654
N. F. Britton and
U. Timm Effects of competition and shading in
planktonic communities . . . . . . . . . 655--673
Victor H. Moll and
Aaron L. Fogelson Activation waves in a model of platelet
aggregation: existence of solutions and
stability of travelling fronts . . . . . 675--701
Jonathan A. Sherratt Actin aggregation and embryonic
epidermal wound healing . . . . . . . . 703--716
Roger Lui and
James F. Selgrade Density-dependent selection migration
model with non-monotone fitness
functions . . . . . . . . . . . . . . . 717--734
John A. Adam and
Richard D. Noren Equilibrium model of a vascularized
spherical carcinoma with central
necrosis- Some properties of the
solution . . . . . . . . . . . . . . . . 735--745
Lev A. Zhivotovsky and
Marcus W. Feldman Heterogeneous selection in subdivided
populations . . . . . . . . . . . . . . 747--759
Ei Teramoto Random disturbance and diversity of
competitive systems . . . . . . . . . . 761--769
G. A. Chauvet An $n$-level field theory of biological
neural networks . . . . . . . . . . . . 771--795
Paul Yip and
Ray Watson Estimating selective advantage of two
alleles in discrete time . . . . . . . . 797--804
Ziad Taib A note on modelling the dynamics of
budding yeast populations using
branching processes . . . . . . . . . . 805--815
Deborah Sulsky Numerical solution of structured
population models . . . . . . . . . . . 817--839
H. B. Nath and
R. C. Griffiths The coalescent in two colonies with
symmetric migration . . . . . . . . . . 841--851
Horst Behncke A mathematical model for the force and
energetics in competitive running . . . 853--878
A. Ardito and
P. Ricciardi and
A. Schiaffino The effects of seasonal fluctuations on
an open access fishery problem . . . . . 879--890
K. P. Hadeler Pair formation models with maturation
period . . . . . . . . . . . . . . . . . 1--15
D. S. Pal and
Sushma Pal Effects of blood flow, curved boundary
and environmental conditions on
temperature distribution in a two
dimensional model of human skin and
subcutaneous tissues . . . . . . . . . . 17--32
G. P. Wagner and
P. Krall What is the difference between models of
error thresholds and Muller's ratchet? 33--44
K. B. Athreya Rates of decay for the survival
probability of a mutant gene II The
multitype case . . . . . . . . . . . . . 45--53
T. G. Prior and
W. G. S. Hines and
R. Cressman Evolutionary games for spatially
dispersed populations . . . . . . . . . 55--65
Zhengyi Lu and
Yasuhiro Takeuchi Global asymptotic behavior in
single-species discrete diffusion
systems . . . . . . . . . . . . . . . . 67--77
Andrew R. Solow Inferring extinction in a declining
population . . . . . . . . . . . . . . . 79--82
Graham Bowtell and
Thelma L. Williams Anguilliform body dynamics: a continuum
model for the interaction between muscle
activation and body curvature . . . . . 83--91
Mats Gyllenberg and
Göran Högnäs and
Timo Koski Population models with environmental
stochasticity . . . . . . . . . . . . . 93--108
Yu. A. Kuznetsov and
C. Piccardi Bifurcation analysis of periodic SEIR
and SIR epidemic models . . . . . . . . 109--121
Catherine A. Macken and
Simon A. Levin and
Roland Waldstätter The dynamics of bacteria-plasmid systems 123--145
Lee Segel and
Albert Goldbeter Scaling in biochemical kinetics:
dissection of a relaxation oscillator 147--160
Charles J. Model and
Klaus Dietz On some formulas in a partnership model
from the perspective of a semi-Markov
process . . . . . . . . . . . . . . . . 161--169
Paul Glendinning Island chain models and gradient systems 171--178
Kathleen M. Crowe A nonlinear ergodic theorem for discrete
systems . . . . . . . . . . . . . . . . 179--191
Reinhard Bürger and
Josef Hofbauer Mutation load and
mutation--selection-balance in
quantitative genetic traits . . . . . . 193--218
Yu. A. Kuznetsov and
M. Ya. Antonovsky and
V. N. Biktashev and
E. A. Aponina A cross-diffusion model of forest
boundary dynamics . . . . . . . . . . . 219--232
Jorge X. Velasco-Hernandez and
Ying-Hen Hsieh Modelling the effect of treatment and
behavioral change in HIV transmission
dynamics . . . . . . . . . . . . . . . . 233--249
Kazunori Sato and
Hirotsugu Matsuda and
Akira Sasaki Pathogen invasion and host extinction in
lattice structured populations . . . . . 251--268
H. Gradl Long-time behavior of continuous time
models in genetic algebras . . . . . . . 269--274
Jonathan Bell and
Mark H. Holmes A note on modeling mechano-chemical
transduction with an application to a
skin receptor . . . . . . . . . . . . . 275--285
Sergey Gavrilets and
Alan Hastings Maintenance of multilocus variability
under strong stabilizing selection . . . 287--302
Leah Edelstein-Keshet Simple models for trail-following
behaviour; Trunk trails versus
individual foragers . . . . . . . . . . 303--328
R. M. Nisbet and
L. C. Onyiah Population dynamic consequences of
competition within and between age
classes . . . . . . . . . . . . . . . . 329--344
R. Dillon and
P. K. Maini and
H. G. Othmer Pattern formation in generalized Turing
systems . . . . . . . . . . . . . . . . 345--393
X. Z. He and
K. Gopalsamy Persistence, stability and level
crossings in an integrodifferential
system . . . . . . . . . . . . . . . . . 395--426
Aaron Klebanoff and
Alan Hastings Chaos in three species food chains . . . 427--451
V. Capasso and
A. Di Liddo Asymptotic behaviour of
reaction--diffusion systems in
population and epidemic models . . . . . 453--463
Ahnut Burchard Substrate degradation by a mutualistic
association of two species in the
Chemostat . . . . . . . . . . . . . . . 465--489
Deborah Sulsky Numerical solution of structured
population models . . . . . . . . . . . 491--514
Wilfried Steiner and
Hans-Rolf Gregorius Single-locus gametophytic
incompatibility: the symmetric
equilibrium is globally asymptotically
stable . . . . . . . . . . . . . . . . . 515--520
E. N. Boulanger Small perturbations in nonlinear
age-structured population equations . . 521--533
Kenneth L. Cooke and
Janos Turi Stability, instability in delay
equations modeling human respiration . . 535--543
Paul E. Phillipson and
Peter Schuster Map dynamics of autocatalytic networks
and the replicator equations . . . . . . 545--562
Christoph Meier and
Walter Senn and
Rudolf Hauser and
Manfred Zimmermanne Strange limits of stability in
host-parasitoid systems . . . . . . . . 563--572
Stavros Busenberg and
Betty Tang Mathematical models of the early
embryonic cell cycle: the role of MPF
activation and cyclin degradation . . . 573--596
M. Broom and
C. Cannings and
G. T. Vickers Sequential methods for generating
patterns of ESS's . . . . . . . . . . . 597--615
Sharon Lubkin and
Richard Rand Oscillatory reaction--diffusion
equations on rings . . . . . . . . . . . 617--632
Ethan Akin and
Joseph M. Szucs Approaches to the Hardy--Weinberg
manifold . . . . . . . . . . . . . . . . 633--643
Roland W. Tegeder On the emergence of primitive
cooperation in an environment of
fluctuating resource supply . . . . . . 645--662
Ignacio Barradas and
Joel E. Cohen Disturbances allow coexistence of
competing species . . . . . . . . . . . 663--676
Michael D. Ward and
Daniel A. Hammer Focal contact assembly through
cytoskeletal polymerization: steady
state analysis . . . . . . . . . . . . . 677--704
J. M. Cushing The dynamics of hierarchical
age-structured populations . . . . . . . 705--729
Sze-Bi Hsu and
Paul Waltman and
Gail S. K. Wolkowicz Global analysis of a model of
plasmid-bearing, plasmid-free
competition in a chemostat . . . . . . . 731--742
Mercedes Pascual Periodic response to periodic forcing of
the Droop equations for phytoplankton
growth . . . . . . . . . . . . . . . . . 743--759
Helmut Schwegler and
Michael C. Mackey Fluctuations in circulating cell numbers
following chemotherapy or bone marrow
transplant . . . . . . . . . . . . . . . 761--770
John E. Franke and
Abdul-Aziz Yakubu Pioneer exclusion in a one-hump discrete
pioneer-climax competitive system . . . 771--787
Takenori Takada and
Toshihiko Hara The relationship between the transition
matrix model and the diffusion model . . 789--807
Jinshi Zhou and
Herbert W. Hethcote Population size dependent incidence in
models for diseases without immunity . . 809--834
Emmanuil E. Shnol and
Alexey S. Kondrashov Some relations between different
characteristics of selection . . . . . . 835--840
Chichia Chiu and
Frank C. Hoppensteadt and
Willi Jäger Analysis and computer simulation of
accretion patterns in bacterial cultures 841--855
Edward Beltrami and
T. O. Carroll Modeling the role of viral disease in
recurrent phytoplankton blooms . . . . . 857--863
Frank C. Hoppensteadt and
Paul M. Johnson Response of a solutivory chain to a
nutrient pulse . . . . . . . . . . . . . 865--867
Thomas P. Witelski An asymptotic solution for traveling
waves of a nonlinear-diffusion Fisher's
equation . . . . . . . . . . . . . . . . 1--16
Jan Prüss and
Wilhelm Schappacher Persistent age-distributions for a
pair-formation model . . . . . . . . . . 17--33
Mats Gyllenberg and
Dmitrii S. Silvestrov Quasi-stationary distributions of a
stochastic metapopulation model . . . . 35--70
Evyatar Av-Ron The role of a transient potassium
current in a bursting neuron model . . . 71--87
Michael C. Mackey and
Ryszard Rudnicki Global stability in a delayed partial
differential equation describing
cellular replication . . . . . . . . . . 89--109
Peter F. Stadler and
Peter Schuster and
Alan S. Perelson Immune networks modeled by replicator
equations . . . . . . . . . . . . . . . 111--137
Daniel Grünbaum Translating stochastic density-dependent
individual behavior with sensory
constraints to an Eulerian model of
animal swarming . . . . . . . . . . . . 139--161
Faustino Sánchez-Garduño and
Philip K. Maini Existence and uniqueness of a sharp
travelling wave in degenerate non-linear
diffusion Fisher--KPP equations . . . . 163--192
G. C. Cruywagen and
P. K. Maini and
J. D. Murray Travelling waves in a tissue interaction
model for skin pattern formation . . . . 193--210
Jorge González-Gunmán and
Raul Naulin Analysis of a model of bovine
brucellosis using singular perturbations 211--223
Freddy Bugge Christiansen and
Viggo Andreasen and
Ebbe Thue Poulsen Genotypic proportions in hybrid zones 225--249
Edoardo Beretta and
Yasuhiro Takeuchi Global stability of an SIR epidemic
model with time delays . . . . . . . . . 250--260
Nancy Kopell and
David Somers Anti-phase solutions in relaxation
oscillators coupled through excitatory
interactions . . . . . . . . . . . . . . 261--280
P. Dalgaard Transient transport across an
inhomogeneous blood-retina barrier . . . 281--294
Jonathan A. Sherratt Turing bifurcations with a temporally
varying diffusion coefficient . . . . . 295--308
S. M. Baert and
J. Rinzel and
H. Carrillo Analysis of an autonomous phase model
for neuronal parabolic bursting . . . . 309--333
\`Angel Calsina and
Joan Saldaña A model of physiologically structured
population dynamics with a nonlinear
individual growth rate . . . . . . . . . 335--364
Stefano Focardi and
Paolo Marcellini A mathematical framework for optimal
foraging of herbivores . . . . . . . . . 365--387
M. Rascle and
C. Ziti Finite time blow-up in some models of
chemotaxis . . . . . . . . . . . . . . . 388--414
J. A. P. Heesterbeek and
M. G. Roberts Threshold quantities for Helminth
infections . . . . . . . . . . . . . . . 415--434
Mary M. Ballyk and
Gail S. K. Wolkowicz An examination of the thresholds of
enrichment: a resource-based growth
model . . . . . . . . . . . . . . . . . 435--457
James Watmough and
Leah Edelstein-Keshet A one-dimensional model of trail
propagation by army ants . . . . . . . . 459--476
Roger Newson A canonical model for production and
distribution of root mass in space and
time . . . . . . . . . . . . . . . . . . 477--488
G. A. Ngwa and
P. K. Maini Spatio-temporal patterns in a mechanical
model for mesenchymal morphogenesis . . 489--520
Veijo Kaitala and
Wayne M. Getz Population dynamics and harvesting of
semelparous species with phenotypic and
genotypic variability in reproductive
age . . . . . . . . . . . . . . . . . . 521--556
Reinhard Bürger and
Warren J. Ewens Fixation probabilities of additive
alleles in diploid populations . . . . . 557--575
Wilfried Steiner and
Hans-Rolf Gregorius A supplementary note on the dynamics of
the model of gametophytic
incompatibility . . . . . . . . . . . . 577--580
Onno A. van Herwaarden and
Johan Grasman Stochastic epidemics: major outbreaks
and the duration of the endemic period 581--601
Paul Joyce and
Simon Tavaré The distribution of rare alleles . . . . 602--618
Alex Mogilner and
Leah Edelstein-Keshet Selecting a common direction . . . . . . 619--660
M. Altmann Susceptible-infected-removed epidemic
models with dynamic partnerships . . . . 661--675
Paul G. Higgs and
Glenn Woodcock The accumulation of mutations in asexual
populations and the structure of
genealogical trees in the presence of
selection . . . . . . . . . . . . . . . 677--702
Martin A. Nowak and
Karl Sigmund and
Esam El-Sedy Automata, repeated games and noise . . . 703--722
Giuseppe Buffoni and
Annalisa Griffa and
Zhengyuan Li and
Piero de Mottoni Spatially distributed communities: the
resource-consumer system . . . . . . . . 723--743
M. A. J. Chaplain and
Susan M. Giles and
B. D. Sleeman and
R. J. Jarvis A mathematical analysis of a model for
tumour angiogenesis . . . . . . . . . . 744--770
Laura E. Stephenson and
David J. Wollkind Weakly nonlinear stability analyses of
one-dimensional Turing pattern formation
in activator-inhibitor/immobilizer model
systems . . . . . . . . . . . . . . . . 771--815
A. Ardito and
P. Ricciardi Lyapunov functions for a generalized
Gause-type model . . . . . . . . . . . . 816--828
Barry E. Willner and
Chien-Ping Lu and
Willard L. Miranker Self-organization of an oscillatory
neural system . . . . . . . . . . . . . 829--866
Anatoli I. Yashin and
Kenneth G. Manton and
Max A. Woodbury and
Eric Stallard The effects of health histories on
stochastic process models of aging and
mortality . . . . . . . . . . . . . . . 1--16
Joseph G.-G. Yan Formation and deformation of patterns
through diffusion . . . . . . . . . . . 17--40
Ting-Kung Luo and
Sze-Bi Hsu Global analysis of a model of
plasmid-bearing, plasmid-free
competition in a chemostat with
inhibitions . . . . . . . . . . . . . . 41--76
Sharon R. Lubkin and
J. D. Murray A mechanism for early branching in lung
morphogenesis . . . . . . . . . . . . . 77--94
Wolfgang Stephan Perturbation analysis of a two-locus
model with directional selection and
recombination . . . . . . . . . . . . . 95--109
D. J. Kornet and
J. A. J. Metz and
H. A. J. M. Schellinx Internodons as equivalence classes in
genealogical networks: building-blocks
for a rigorous species concept . . . . . 110--122
Eric P. M. Grist and
William S. C. Gurney Stage-specificity and the
synchronisation of life-cycles to
periodic environmental variations . . . 123--147
Steven J. Ruuth Implicit-explicit methods for
reaction--diffusion problems in pattern
formation . . . . . . . . . . . . . . . 148--176
Herbert W. Hethcote and
P. van den Driessche An SIS epidemic model with variable
population size and a delay . . . . . . 177--194
V. A. A. Jansen Effects of dispersal in a tri-trophic
metapopulation model . . . . . . . . . . 195--224
S. B. Hsu and
Ting-Kung Luo and
Paul Waltman Competition between plasmid-bearing and
plasmid-free organisms in a chemostat
with an inhibitor . . . . . . . . . . . 225--238
Uri Liberman and
Marcus W. Feldman On the modification of recombination
with sex-dependent fitnesses and linkage 239--252
Michael Mesterton-Gibbons On the war of attrition and other games
among kin . . . . . . . . . . . . . . . 253--270
W. G. Bardsley and
E. K. Kyprianou A statistical theory for flow cytometry
profiles in terms of the binding of
ligands to cell surface receptors and
changes in gene expression . . . . . . . 271--296
S. A. Gourley and
N. F. Britton A predator--prey reaction--diffusion
system with nonlocal effects . . . . . . 297--333
Thomas Nagylaki The diffusion model for migration and
selection in a dioecious population . . 334--360
Robert T. Tranquillo and
Wolfgang Alt Stochastic model of receptor-mediated
cytomechanics and dynamic morphology of
leukocytes . . . . . . . . . . . . . . . 361--412
Carlos Castillo-Chavez and
Wenzhang Huang and
Jia Li On the existence of stable pairing
distributions . . . . . . . . . . . . . 413--441
John E. Franke and
Abdul-Aziz Yakubu Extinction of species in age-structured,
discrete noncooperative systems . . . . 442--454
Edward J. Allen and
Linda J. S. Allen and
Xiaoning Gilliam Dispersal and competition models for
plants . . . . . . . . . . . . . . . . . 455--481
Odo Diekmann and
Freddy Christiansen and
Richard Law Editorial . . . . . . . . . . . . . . . 483--483
Ilan Eshel On the changing concept of evolutionary
population stability as a reflection of
a changing point of view in the
quantitative theory of evolution . . . . 485--510
Peter Hammerstein Darwinian adaptation, population
genetics and the streetcar theory of
evolution . . . . . . . . . . . . . . . 511--532
Franz J. Weissing Genetic versus phenotypic models of
selection: can genetics be neglected in
a long-term perspective? . . . . . . . . 533--555
Paul Marrow and
Ulf Dieckmann and
Richard Law Evolutionary dynamics of predator--prey
systems: an ecological perspective . . . 556--578
Ulf Dieckmann and
Richard Law The dynamical theory of coevolution: a
derivation from stochastic ecological
processes . . . . . . . . . . . . . . . 579--612
Carlo Matessi and
Cristina Di Pasquale Long-term evolution of multilocus traits 613--653
Peter D. Taylor Inclusive fitness arguments in genetic
models of behaviour . . . . . . . . . . 654--674
Josef Hofbauer Evolutionary dynamics for bimatrix
games: A Hamiltonian system? . . . . . . 675--688
Hiroshi Morimoto A diffusion model for the evolution of
metalloporphyrin . . . . . . . . . . . . 689--706
R. Cressman and
J. Hofbauer and
W. G. S. Hines Evolutionary stability in strategic
models of single-locus
frequency-dependent viability selection 707--733
H. L. Smith A discrete, size-structured model of
microbial growth and competition in the
chemostat . . . . . . . . . . . . . . . 734--754
Shandelle M. Henson and
J. M. Cushing Hierarchical models of intra-specific
competition: scramble versus contest . . 755--772
U. Liberman and
H. Manos C--L processes involving higher order
positive (negative) interference for any
two collections of disjoint chromosomal
regions . . . . . . . . . . . . . . . . 773--788
Sandro Merino Cyclic competition of three species in
the time periodic and diffusive case . . 789--809
Alexander Mogilner and
Leah Edelstein-Keshet and
G. Bard Ermentrout Selecting a common direction . . . . . . 811--842
Raúl Fierro Large-sample analysis for a stochastic
epidemic model and its parameter
estimators . . . . . . . . . . . . . . . 843--856
S. A. Gourley and
N. F. Britton and
M. A. J. Chaplain and
H. M. Byrne Mechanisms for stabilisation and
destabilisation of systems of
reaction--diffusion equations . . . . . 857--877
M. Gatton and
W. Hogarth and
A. Saul and
P. Dayananda A model for predicting the transmission
rate of malaria from serological data 878--888
Richard Skalak and
Stephen Zargaryan and
Rakesh K. Jain and
Paolo A. Netti and
Anne Hoger Compatibility and the genesis of
residual stress by volumetric growth . . 889--914
Rinaldo Schinazi On an interacting particle system
modeling an epidemic . . . . . . . . . . 915--925
Urs Fischbacher Finding the maximum a posteriori
probability (MAP) in a Bayesian
taxonomic key is NP-hard . . . . . . . . 926--936
Edoardo Beretta and
Fortunata Solimano and
Yasuhiro Takeuchi A mathematical model for drug
administration by using the phagocytosis
of red blood cells . . . . . . . . . . . 1--19
Marcos Lizana and
Jesus Rivero Multiparametric bifurcations for a model
in epidemiology . . . . . . . . . . . . 21--36
Sebastian J. Schreiber Global stability in consumer-resource
cascades . . . . . . . . . . . . . . . . 37--48
Thomas Hillen A Turing model with correlated random
walk . . . . . . . . . . . . . . . . . . 49--72
Mari Watanabe and
Robert F. Gilmour, Jr. Strategy for control of complex
low-dimensional dynamics in cardiac
tissue . . . . . . . . . . . . . . . . . 73--87
A. Gimelfarb Some additional results about
polymorphisms in models of an additive
quantitative trait under stabilizing
selection . . . . . . . . . . . . . . . 88--96
Richard I. Schwarz Modeling tendon morphogenesis in vivo
based on cell density signaling in cell
culture . . . . . . . . . . . . . . . . 97--113
C. Soto-Treviño and
N. Kopell and
D. Watson Parabolic bursting revisited . . . . . . 114--128
Frank van den Bosch and
André M. de Roos The dynamics of infectious diseases in
orchards with roguing and replanting as
control strategy . . . . . . . . . . . . 129--157
S. Rinaldi and
S. Dal Bo and
E. De Nittis On the role of body size in a
tri-trophic metapopulation model . . . . 158--176
Miguel A. Herrero and
Juan J. L. Velázquez Chemotactic collapse for the
Keller--Segel model . . . . . . . . . . 177--194
Arild Wikan and
Einar Mjòlhus Overcompensatory recruitment and
generation delay in discrete
age-structured population models . . . . 195--239
K. L. Cooke and
P. van den Driessche Analysis of an SEIRS epidemic model with
two delays . . . . . . . . . . . . . . . 240--260
Noël Bonneuil and
Katharina Müllers Viable populations in a prey-predator
system . . . . . . . . . . . . . . . . . 261--293
Kevin Charter and
Thomas Rogers Homoclinic chaos in a model of natural
selection . . . . . . . . . . . . . . . 294--320
Ellen Baake and
Thomas Wiehe Bifurcations in haploid and diploid
sequence space models . . . . . . . . . 321--343
Javier E. Satulovsky and
Tânia Tomé Spatial instabilities and local
oscillations in a lattice gas
Lotka--Volterra model . . . . . . . . . 344--358
Paul Glendinning and
Louise P. Perry Melnikov analysis of chaos in a simple
epidemiological model . . . . . . . . . 359--373
Horst Behncke Optimization models for the force and
energy in competitive running . . . . . 375--390
Valery Kirzhner and
Yuri Lyubich Multilocus dynamics under haploid
selection . . . . . . . . . . . . . . . 391--408
Thomas Nagylaki The diffusion model for migration and
selection in a plant population . . . . 409--431
R. K. Dodd Periodic orbits arising from Hopf
bifurcations in a Volterra prey-predator
model . . . . . . . . . . . . . . . . . 432--452
Betty Tang and
Ann Sitomer and
Trachette Jackson Population dynamics and competition in
chemostat models with adaptive nutrient
uptake . . . . . . . . . . . . . . . . . 453--479
Azmy S. Ackleh and
Ben G. Fitzpatrick Modeling aggregation and growth
processes in an algal population model:
analysis and computations . . . . . . . 480--502
Carlos Castillo-Chavez and
Wenzhang Huang and
Jia Li The effects of females' susceptibility
on the coexistence of multiple pathogen
strains of sexually transmitted diseases 503--522
Zhilan Feng and
Jorge X. Velasco-Hernández Competitive exclusion in a vector-host
model for the dengue fever . . . . . . . 523--544
H. L. Smith The periodically forced Droop model for
phytoplankton growth in a chemostat . . 545--556
M. H. Vellekoop and
G. Högnäs A unifying framework for chaos and
stochastic stability in discrete
population models . . . . . . . . . . . 557--588
F. A. Davidson and
B. D. Sleeman and
A. D. M. Rayner and
J. W. Crawford and
K. Ritz Travelling waves and pattern formation
in a model for fungal development . . . 589--608
Jürgen Nauroschat and
Uwe an der Heiden A theoretical approach to G-protein
modulation of cellular responsiveness 609--627
Carlos Castillo-Chavez and
Zhilan Feng To treat or not to treat: the case of
tuberculosis . . . . . . . . . . . . . . 629--656
Mathieu Lemire and
Sabin Lessard On the non-existence of an optimal
migration rate . . . . . . . . . . . . . 657--682
Wei Feng Competitive exclusion and persistence in
models of resource and sexual
competition . . . . . . . . . . . . . . 683--694
Thomas P. Witelski Segregation and mixing in degenerate
diffusion in population dynamics . . . . 695--712
Faustino Sánchez-Garduño and
Philip K. Maini Travelling wave phenomena in non-linear
diffusion degenerate Nagumo equations 713--728
James A. Powell Conditional stability of front solutions 729--747
M. A. Lewis and
K. A. J. White and
J. D. Murray Analysis of a model for wolf territories 749--774
Denise Kirschner and
Suzanne Lenhart and
Steve Serbin Optimal control of the chemotherapy of
HIV . . . . . . . . . . . . . . . . . . 775--792
Onno A. van Herwaarden Stochastic epidemics: the probability of
extinction of an infectious disease at
the end of a major outbreak . . . . . . 793--813
A. Teso and
E. Drigo Filho and
A. Agostinho Neto Solution of the Poisson--Boltzmann
equation for a system with four ionic
species . . . . . . . . . . . . . . . . 814--824
Viggo Andreasen and
Juan Lin and
Simon A. Levin The dynamics of cocirculating influenza
strains conferring partial
cross-immunity . . . . . . . . . . . . . 825--842
S. A. Gourley and
M. V. Bartuccelli Parameter domains for instability of
uniform states in systems with many
delays . . . . . . . . . . . . . . . . . 843--867
R. Skalak and
D. A. Farrow and
A. Hoger Kinematics of surface growth . . . . . . 869--907
Waltraud Huyer On periodic cohort solutions of a
size-structured population model . . . . 908--934
Deborah R. Hart and
Robert H. Gardner A spatial model for the spread of
invading organisms subject to
competition . . . . . . . . . . . . . . 935--948
W. Allegretto and
H. Xie and
Shixin Yang Properties of solutions for a chemotaxis
system . . . . . . . . . . . . . . . . . 949--966
\`Angel Calsina and
Joan Saldaña Asymptotic behaviour of a model of
hierarchically structured population
dynamics . . . . . . . . . . . . . . . . 967--987
F. C. Hoppensteadt and
H. D. Mittelmann Wave propagation in mathematical models
of striated cortex . . . . . . . . . . . 988--994
Michael Perlitz and
Wolfgang Stephan The mean and variance of the number of
segregating sites since the last
hitchhiking event . . . . . . . . . . . 1--23
B. W. Kooi and
M. P. Boer and
S. A. L. M. Kooijman Complex dynamic behaviour of autonomous
microbial food chains . . . . . . . . . 24--40
Johnny T. Ottesen Modelling of the baroreflex-feedback
mechanism with time-delay . . . . . . . 41--63
Eivind Coward Equivalence of two Fourier methods for
biological sequences . . . . . . . . . . 64--70
J. B. Shukla and
B. Dubey Modelling the depletion and conservation
of forestry resources: effects of
population and pollution . . . . . . . . 71--94
A. Chávez-Ross and
S. Franks and
H. D. Mason and
K. Hardy and
J. Stark Modelling the control of ovulation and
polycystic ovary syndrome . . . . . . . 95--118
J. Sturis and
M. Bròns Local and global bifurcations at
infinity in models of glycolytic
oscillations . . . . . . . . . . . . . . 119--132
Sebastian J. Schreiber Generalist and specialist predators that
mediate permanence in ecological
communities . . . . . . . . . . . . . . 133--148
John B. Collings The effects of the functional response
on the bifurcation behavior of a mite
predator--prey interaction model . . . . 149--168
Floyd B. Hanson and
Henry C. Tuckwell Population growth with randomly
distributed jumps . . . . . . . . . . . 169--187
Morihiro Notohara The number of segregating sites in a
sample of DNA sequences from a
geographically structured population . . 188--200
Shandelle M. Henson and
J. M. Cushing The effect of periodic habitat
fluctuations on a nonlinear insect
population model . . . . . . . . . . . . 201--226
Jonathan Dushoff and
Wenzhang Huang and
Carlos Castillo-Chavez Backwards bifurcations and catastrophe
in simple models of fatal diseases . . . 227--248
Sergei E. Esipov and
J. A. Shapiro Kinetic model of \bionameProteus
mirabilis swarm colony development . . . 249--268
M. A. Bees and
N. A. Hill and
T. J. Pedley Analytical approximations for the
orientation distribution of small
dipolar particles in steady shear flows 269--298
Jay H. Beder and
Richard Gomulkiewicz Computing the selection gradient and
evolutionary response of an
infinite-dimensional trait . . . . . . . 299--319
Erik Plahte and
Thomas Mestl and
Stig W. Omholt A methodological basis for description
and analysis of systems with complex
switch-like interactions . . . . . . . . 321--348
Odo Diekmann and
Mats Gyllenberg and
J. A. J. Metz and
Horst R. Thieme On the formulation and analysis of
general deterministic structured
population models I. Linear Theory . . . 349--388
Yang Kuang and
Edoardo Beretta Global qualitative analysis of a
ratio-dependent predator--prey system 389--406
André Zegeling and
Robert E. Kooij Uniqueness of limit cycles in models for
microparasitic and macroparasitic
diseases . . . . . . . . . . . . . . . . 407--417
A. Pugliese and
R. Ros\`a and
M. L. Damaggio Analysis of a model for macroparasitic
infection with variable aggregation and
clumped infections . . . . . . . . . . . 419--447
H. Manos and
U. Liberman Discrete chiasma formation models and
their associated high order interference 448--468
Stephen P. Ellner and
Akira Sasaki and
Yoshihiro Haraguchi and
Hirotsugu Matsuda Speed of invasion in lattice population
models: pair-edge approximation . . . . 469--484
Patsy Haccou and
Yoh Iwasa Robustness of optimal mixed strategies 485--496
Takenori Takada and
Hisao Nakajima Theorems on the invasion process in
stage-structured populations with
density-dependent dynamics . . . . . . . 497--514
Leah Edelstein-Keshet and
James Watmough and
Daniel Grunbaum Do travelling band solutions describe
cohesive swarms? An investigation for
migratory locusts . . . . . . . . . . . 515--549
Michael Doebeli and
Gerdien de Jong A simple genetic model with
non-equilibrium dynamics . . . . . . . . 550--556
Zong-Ping Luo and
Kai-Nan An A theoretical model to predict
distribution of the fabric tensor and
apparent density in cancellous bone . . 557--568
H.-Y. Wu and
S. M. Baer Analysis of an excitable dendritic spine
with an activity-dependent stem
conductance . . . . . . . . . . . . . . 569--592
Matthias Stiefenhofer Quasi-steady-state approximation for
chemical reaction networks . . . . . . . 593--609
Shay Gueron The steady-state distributions of
coagulation--fragmentation processes . . 1--27
Hugo A. van den Berg and
Yuri N. Kiselev and
S. A. L. M. Kooijman and
Michael V. Orlov Optimal allocation between nutrient
uptake and growth in a microbial
trichome . . . . . . . . . . . . . . . . 28--48
A. Y. Yakovlev and
M. Mayer-Proschel and
M. Noble A stochastic model of brain cell
differentiation in tissue culture . . . 49--60
Jack Dockery and
Vivian Hutson and
Konstantin Mischaikow and
Mark Pernarowski The evolution of slow dispersal rates: a
reaction diffusion model . . . . . . . . 61--83
Wenxian Shen and
Yingfei Yi Convergence in almost periodic Fisher
and Kolmogorov models . . . . . . . . . 84--102
Robert Stephen Cantrell and
Chris Cosner On the effects of spatial heterogeneity
on the persistence of interacting
species . . . . . . . . . . . . . . . . 103--145
József Garay and
M. Barnabas Garay Genetical reachability: When does a
sexual population realize all phenotypic
states? . . . . . . . . . . . . . . . . 146--154
Luis H. R. Alvarez and
Larry A. Shepp Optimal harvesting of stochastically
fluctuating populations . . . . . . . . 155--177
John Vandermeer and
Andrew Kaufmann Models of coupled population oscillators
using $1$-D maps . . . . . . . . . . . . 178--202
Roselyn M. Abbiw-Jackson and
William F. Langford Gain-induced oscillations in blood
pressure . . . . . . . . . . . . . . . . 203--234
Denise Kirschner and
John Carl Panetta Modeling immunotherapy of the tumor-
immune interaction . . . . . . . . . . . 235--252
Xue-Zhong He and
Shigui Ruan Global stability in chemostat-type
plankton models with delayed nutrient
recycling . . . . . . . . . . . . . . . 253--271
M. G. Roberts and
J. A. P. Heesterbeek A simple parasite model with complicated
dynamics . . . . . . . . . . . . . . . . 272--290
Olivier Bernard and
Sami Souissi Qualitative behavior of stage-structured
populations: application to structural
validation . . . . . . . . . . . . . . . 291--308
Shandelle M. Henson Leslie matrix models as ``stroboscopic
snapshots'' of McKendrick PDE models . . 309--328
C. Bruni and
L. Ferrante and
G. Koch Identifiability of a stochastic model
for cell debris in flow cytometry . . . 329--340
C. T. H. Baker and
G. A. Bocharov and
C. A. H. Paul and
F. A. Rihan Modelling and analysis of time-lags in
some basic patterns of cell
proliferation . . . . . . . . . . . . . 341--371
Chuang-Hsiung Chiu and
Sze-Bi Hsu Extinction of top-predator in a
three-level food-chain model . . . . . . 372--380
Debbie L. Benson and
Philip K. Maini and
Jonathan A. Sherratt Unravelling the Turing bifurcation using
spatially varying diffusion coefficients 381--417
David Taylor and
Philip Holmes Simple models for excitable and
oscillatory neural networks . . . . . . 419--446
V. Hutson and
K. Mischaikow An approach to practical persistence . . 447--466
M. Gatto and
G. A. De Leo Interspecific competition among
macroparasites in a density-dependent
host population . . . . . . . . . . . . 467--490
Robert Stephen Cantrell and
Chris Cosner and
William F. Fagan Competitive reversals inside ecological
reserves: the role of external habitat
degradation . . . . . . . . . . . . . . 491--533
Hilde M. Wilkinson-Herbots Genealogy and subpopulation
differentiation under various models of
population structure . . . . . . . . . . 535--585
Xinfu Chen and
Stuart P. Hastings Pulse waves for a semi-discrete
Morris--Lecar type model . . . . . . . . 1--20
Bo Deng Glucose-induced period-doubling cascade
in the electrical activity of pancreatic
$ \beta $-cells . . . . . . . . . . . . 21--78
Marcos Lizana and
Victor Padron A spatially discrete model for
aggregating populations . . . . . . . . 79--102
Thomas Nagylaki and
Josef Hofbauer and
Pavol Brunovský Convergence of multilocus systems under
weak epistasis or weak selection . . . . 103--133
M. A. Bees and
N. A. Hill Non-linear bioconvection in a deep
suspension of gyrotactic swimming
micro-organisms . . . . . . . . . . . . 135--168
Daniel Grünbaum Advection--diffusion equations for
generalized tactic searching behaviors 169--194
Michael C. Mackey and
Ryszard Rudnicki A new criterion for the global stability
of simultaneous cell replication and
maturation processes . . . . . . . . . . 195--219
Lourdes Esteva and
Cristobal Vargas A model for dengue disease with variable
human population . . . . . . . . . . . . 220--240
Andrzej Lasota and
Michael C. Mackey Cell division and the stability of
cellular populations . . . . . . . . . . 241--261
Avner Friedman and
Fernando Reitich Analysis of a mathematical model for the
growth of tumors . . . . . . . . . . . . 262--284
Gail S. K. Wolkowicz and
Huaxing Xia and
Jianhong Wu Global dynamics of a chemostat
competition model with distributed delay 285--316
Cheryl J. Briggs and
Roger M. Nisbet and
William W. Murdoch Delayed feedback and multiple attractors
in a host-parasitoid system . . . . . . 317--345
Konstadia Lika and
Thomas G. Hallam Traveling wave solutions of a nonlinear
reaction--advection equation . . . . . . 346--358
Rebecca Tyson and
S. R. Lubkin and
J. D. Murray Model and analysis of chemotactic
bacterial patterns in a liquid medium 359--375
D. C. Hassell and
D. J. Allwright and
A. C. Fowler A mathematical analysis of Jones's site
model for spruce budworm infestations 377--421
Robert Happel and
Peter F. Stadler Autocatalytic replication in a CSTR and
constant organization . . . . . . . . . 422--434
Peter F. Stadler and
Robert Happel Random field models for fitness
landscapes . . . . . . . . . . . . . . . 435--478
Thomas LoFaro and
Nancy Kopell Timing regulation in a network reduced
from voltage-gated equations to a
one-dimensional map . . . . . . . . . . 479--533
Alexander Mogilner and
Leah Edelstein-Keshet A non-local model for a swarm . . . . . 534--570
Thomas LoFaro and
Richard Gomulkiewicz Adaptation versus migration in
demographically unstable populations . . 571--584
Marcelo Epstein and
Clifton Johnston Improved solution for solitary waves in
arteries . . . . . . . . . . . . . . . . 1--18
M. P. Boer and
B. W. Kooi and
S. A. L. M. Kooijman Homoclinic and heteroclinic orbits to a
cycle in a tri-trophic food chain . . . 19--38
P. K. Tapaswi and
A. Mukhopadhyay Effects of environmental fluctuation on
plankton allelopathy . . . . . . . . . . 39--58
Helen M. Byrne A weakly nonlinear analysis of a model
of avascular solid tumour growth . . . . 59--89
Michael Mesterton-Gibbons On sperm competition games: raffles and
roles revisited . . . . . . . . . . . . 91--108
Carlos M. Regalado and
Brian D. Sleeman Aggregation and collapse in a mechanical
model of fungal tip growth . . . . . . . 109--138
Hans G. Othmer and
Min Xie Subharmonic resonance and chaos in
forced excitable systems . . . . . . . . 139--171
A. N. Yannacopoulos and
G. Rowlands Effective drift velocities and effective
diffusivities of swimming microorganisms
in external flows . . . . . . . . . . . 172--192
Daniel D. Wiegmann and
Kajal Mukhopadhyay and
Leslie A. Real Sequential search and the influence of
male quality on female mating decisions 193--216
Shandelle M. Henson A continuous, age-structured insect
population model . . . . . . . . . . . . 217--243
O. E. Percus and
J. K. Percus Island length distribution in genome
sequencing . . . . . . . . . . . . . . . 244--268
Zhengyi Lu and
Wendi Wang Permanence and global attractivity for
Lotka--Volterra difference systems . . . 269--282
Tao Yi and
R. Cressman and
B. Brooks Nonlinear frequency-dependent selection
at a single locus with two alleles and
two phenotypes . . . . . . . . . . . . . 283--308
Damian Clancy Optimal intervention for epidemic models
with general infection and removal rate
functions . . . . . . . . . . . . . . . 309--331
K. Cooke and
P. van den Driessche and
X. Zou Interaction of maturation delay and
nonlinear birth in population and
epidemic models . . . . . . . . . . . . 332--352
Trachette L. Jackson and
Sharon R. Lubkin and
James D. Murray Theoretical analysis of conjugate
localization in two-step cancer
chemotherapy . . . . . . . . . . . . . . 353--376
D. R. Clother and
J. Brindley Excitability of an age-structured
plankton ecosystem . . . . . . . . . . . 377--420
Paul Joyce No BLUE among phylogenetic estimators 421--438
Aaron A. King and
William M. Schaffer The rainbow bridge: Hamiltonian limits
and resonance in predator--prey dynamics 439--469
F. A. Milner and
A. Pugliese Periodic solutions: a robust numerical
method for an S-I-R model of epidemics 471--492
David S. Boukal and
Vlastimil K\uìvan Lyapunov functions for Lotka--Volterra
predator--prey models with optimal
foraging behavior . . . . . . . . . . . 493--517
Ignacio Barradas and
Karla Tassier Reducing competition vs. improving
resistance to disturbances in the
environment . . . . . . . . . . . . . . 518--532
David A. Edwards and
Byron Goldstein and
Donald S. Cohen Transport effects on surface-volume
biological reactions . . . . . . . . . . 533--561
Anonymous Editorial . . . . . . . . . . . . . . . 1--1
Anonymous Aims and scope of the journal . . . . . 2--2
Herbert W. Hethcote and
P. van den Driessche Two SIS epidemiologic models with delays 3--26
M. A. Bees and
P. Andresén and
E. Mosekilde and
M. Givskov The interaction of thin-film flow,
bacterial swarming and cell
differentiation in colonies of
\bionameSerratia liquefaciens . . . . . 27--63
Leah Edelstein-Keshet and
G. Bard Ermentrout Models for spatial polymerization
dynamics of rod-like polymers . . . . . 64--96
Richard B. Dickinson A generalized transport model for biased
cell migration in an anisotropic
environment . . . . . . . . . . . . . . 97--135
Andrea De Gaetano and
Ovide Arino Mathematical modelling of the
intravenous glucose tolerance test . . . 136--168
Paul C. Bressloff Traveling waves and pulses in a
one-dimensional network of excitable
integrate-and-fire neurons . . . . . . . 169--198
L. F. Lopez and
F. A. B. Coutinho On the uniqueness of the positive
solution of an integral equation which
appears in epidemiological models . . . 199--228
S. R.-J. Jang Dynamics of variable-yield
nutrient-phytoplankton-zooplankton
models with nutrient recycling and
self-shading . . . . . . . . . . . . . . 229--250
Noël Bonneuil and
Patrick Saint-Pierre Protected polymorphism in the two-locus
haploid model with unpredictable
fitnesses . . . . . . . . . . . . . . . 251--277
Jerome K. Percus and
Ora E. Percus and
Alan S. Perelson Random binding of dimers to chains . . . 278--294
Ray Redheffer Generalized monotonicity, integral
conditions and partial survival . . . . 295--320
D. L. Feltham and
M. A. J. Chaplain Analytical solutions of a minimal model
of species migration in a bounded domain 321--342
Julian Herbert and
Valerie Isham Stochastic host-parasite interaction
models . . . . . . . . . . . . . . . . . 343--371
J. Tilak Ratnanather and
Aleksander S. Popel and
William E. Brownell An analysis of the hydraulic
conductivity of the extracisternal space
of the cochlear outer hair cell . . . . 372--382
Luis H. R. Alvarez On the option interpretation of rational
harvesting planning . . . . . . . . . . 383--405
M. Broom Patterns of evolutionarily stable
strategies: the maximal pattern
conjecture revisited . . . . . . . . . . 406--412
Horst Behncke Periodical cicadas . . . . . . . . . . . 413--431
Luis H. R. Alvarez On the comparative static properties of
the expected population density in the
presence of stochastic fluctuations . . 432--442
Klaus R. Schneider and
Thomas Wilhelm Model reduction by extended
quasi-steady-state approximation . . . . 443--450
Angel Calsina and
José M. Mazón and
Manuel Serra A mathematical model for the phase of
sexual reproduction in monogonont
rotifers . . . . . . . . . . . . . . . . 451--471
A. F. Jones and
H. M. Byrne and
J. S. Gibson and
J. W. Dold A mathematical model of the stress
induced during avascular tumour growth 473--499
D. Schley and
S. A. Gourley Linear stability criteria for population
models with periodically perturbed
delays . . . . . . . . . . . . . . . . . 500--524
P. van den Driessche and
James Watmough A simple SIS epidemic model with a
backward bifurcation . . . . . . . . . . 525--540
Ghislain Rocheleau and
Sabin Lessard Stability analysis of the partial
selfing selection model . . . . . . . . 541--574
Anonymous Life and death near a windy oasis . . . 1--23
Asim Sikder Uniform persistence for sigmoidal diet
selection with keystone prey species . . 25--44
J. J. Batzel and
H. T. Tran Stability of the human respiratory
control system I. Analysis of a
two-dimensional delay state-space model 45--79
J. J. Batzel and
H. T. Tran Stability of the human respiratory
control system II. Analysis of a
three-dimensional delay state-space
model . . . . . . . . . . . . . . . . . 80--102
Michael G. Neubert and
Hal Caswell Density-dependent vital rates and their
population dynamic consequences . . . . 103--121
Thomas Nagylaki Geographical invariance and the
strong-migration limit in subdivided
populations . . . . . . . . . . . . . . 123--142
Johannes Müller and
Birgitt Schönfisch and
Markus Kirkilionis Ring vaccination . . . . . . . . . . . . 143--171
Peter E. Trapa and
Martin A. Nowak Nash equilibria for an evolutionary
language game . . . . . . . . . . . . . 172--188
Timothy C. Elston A macroscopic description of
biomolecular transport . . . . . . . . . 189--206
Takuyo Aita and
Yuzuru Husimi Adaptive walks by the fittest among
finite random mutants on a Mt. Fuji-type
fitness landscape II. Effect of small
non-additivity . . . . . . . . . . . . . 207--231
Vincent A. A. Jansen and
Alun L. Lloyd Local stability analysis of spatially
homogeneous solutions of multi-patch
systems . . . . . . . . . . . . . . . . 232--252
Joseph C. Watkins Consistency and fluctuation theorems for
discrete time structured population
models having demographic stochasticity 253--271
S. A. Gourley Travelling front solutions of a nonlocal
Fisher equation . . . . . . . . . . . . 272--284
K. J. Painter and
P. K. Maini and
H. G. Othmer Development and applications of a model
for cellular response to multiple
chemotactic cues . . . . . . . . . . . . 285--314
Mihir A. Wagle and
Robert T. Tranquillo A self-consistent cell flux expression
for simultaneous chemotaxis and contact
guidance in tissues . . . . . . . . . . 315--330
Hong Qian A mathematical analysis for the Brownian
dynamics of a DNA tether . . . . . . . . 331--340
Stephen J. Cornell and
Valerie S. Isham and
Bryan T. Grenfell Drug-resistant parasites and aggregated
infection- early-season dynamics . . . . 341--360
Konstadia Lika and
Roger M. Nisbet A Dynamic Energy Budget model based on
partitioning of net production . . . . . 361--386
M. A. Lewis and
S. Pacala Modeling and analysis of stochastic
invasion processes . . . . . . . . . . . 387--429
M. A. Lewis Spread rate for a nonlinear stochastic
invasion . . . . . . . . . . . . . . . . 430--454
Rebecca Tyson and
L. G. Stern and
Randall J. LeVeque Fractional step methods applied to a
chemotaxis model . . . . . . . . . . . . 455--475
Wojciech Krzyzanski Asymptotics of the total net direct
pharmacological effect for large drug
doses . . . . . . . . . . . . . . . . . 477--492
Razvan A. Satnoianu and
Michael Menzinger and
Philip K. Maini Turing instabilities in general systems 493--512
Jonathan Rubin and
David Terman Analysis of clustered firing patterns in
synaptically coupled networks of
oscillators . . . . . . . . . . . . . . 513--545
Bruno Vielle A new explicit stability criterion for
human periodic breathing . . . . . . . . 546--558
Håkan Andersson and
Tom Britton Stochastic epidemics in dynamic
populations: quasi-stationarity and
extinction . . . . . . . . . . . . . . . 559--580
A. Di Crescenzo and
V. Giorno and
A. G. Nobile and
L. M. Ricciardi Stochastic population models with
interacting species . . . . . . . . . . 1--25
Kostya Khanin and
Raya Khanin A probabilistic model for the
establishment of neuron polarity . . . . 26--40
Paul F. Slade Simulation of `hitch-hiking' genealogies 41--70
Shangbing Ai Periodic solutions in a model of
competition between plasmid-bearing and
plasmid-free organisms in a chemostat
with an inhibitor . . . . . . . . . . . 71--94
Robert Stephen Cantrell and
Chris Cosner and
William F. Faganantrell Brucellosis, botflies, and brainworms:
the impact of edge habitats on pathogen
transmission and species extinction . . 95--119
Chichia Chiu and
Frank C. Hoppensteadt Mathematical models and simulations of
bacterial growth and chemotaxis in a
diffusion gradient chamber . . . . . . . 120--144
Wolfgang P. Angerer An explicit representation of the
Luria--Delbrück distribution . . . . . . 145--174
Jennifer M. Switkes and
Michael E. Moody Coevolutionary interactions between a
haploid species and a diploid species 175--194
Howard A. Levine and
Brian D. Sleeman and
Marit Nilsen-Hamilton Mathematical modeling of the onset of
capillary formation initiating
angiogenesis . . . . . . . . . . . . . . 195--238
Sebastian J. Schreiber Chaos and population disappearances in
simple ecological models . . . . . . . . 239--260
B. M. Mulder and
A. M. C. Emons A dynamical model for plant cell wall
architecture formation . . . . . . . . . 261--289
Pietro-Luciano Buono and
Martin Golubitsky Models of central pattern generators for
quadruped locomotion I. Primary gaits 291--326
Pietro-Luciano Buono Models of central pattern generators for
quadruped locomotion II. Secondary gaits 327--346
T. Roose and
A. C. Fowler and
P. R. Darrah A mathematical model of plant nutrient
uptake . . . . . . . . . . . . . . . . . 347--360
K. Engelborghs and
V. Lemaire and
J. Bélair and
D. Roose Numerical bifurcation analysis of delay
differential equations arising from
physiological modeling . . . . . . . . . 361--385
M. A. J. Chaplain and
M. Ganesh and
I. G. Graham Spatio-temporal pattern formation on
spherical surfaces: numerical simulation
and application to solid tumour growth 387--423
N. E. El Houssif A deterministic size-structured
population model for the worm
\bionameNaidis elinguis . . . . . . . . 424--438
Zhidong Teng and
Zhengyi Lu The effect of dispersal on
single-species nonautonomous dispersal
models with delays . . . . . . . . . . . 439--454
Ellen Baake Mutation and recombination with tight
linkage . . . . . . . . . . . . . . . . 455--488
Sze-Bi Hsu and
Tzy-Wei Hwang and
Yang Kuang Global analysis of the
Michaelis--Menten-type ratio-dependent
predator--prey system . . . . . . . . . 489--506
Rico Zacher Persistent solutions for age-dependent
pair-formation models . . . . . . . . . 507--531
C. J. Luchsinger Stochastic models of a parasitic
infection, exhibiting three basic
reproduction ratios . . . . . . . . . . 532--554
C. J. Luchsinger Approximating the long-term behaviour of
a model for parasitic infection . . . . 555--581
Mathieu Lemire and
Sabin Lessard Equilibrium structure and stability in a
frequency-dependent, two-population
diploid model . . . . . . . . . . . . . 1--21
Kenneth Boucher and
Alexander Zorin and
Andrej Y. Yakovlev and
Margot Mayer-Proschel and
Mark Noble An alternative stochastic model of
generation of oligodendrocytes in cell
culture . . . . . . . . . . . . . . . . 22--36
Joseph W.-H. So and
Jianhong Wu and
Xingfu Zou Structured population on two patches:
modeling dispersal and delay . . . . . . 37--51
Zhilan Feng and
Jason Curtis and
Dennis J. Minchella The influence of drug treatment on the
maintenance of schistosome genetic
diversity . . . . . . . . . . . . . . . 52--68
Ying-Hen Hsieh and
Shin-Pyng Sheu The effect of density-dependent
treatment and behavior change on the
dynamics of HIV transmission . . . . . . 69--80
Rodica Curtu and
Bard Ermentrout Oscillations in a refractory neural net 81--100
Katsunori Iwasaki and
Yutaka Kamimura Inverse bifurcation problem, singular
Wiener--Hopf equations, and mathematical
models in ecology . . . . . . . . . . . 101--143
Olaf Dreyer and
Raymond Puzio Allometric scaling in animals and plants 144--156
O. Diekmann and
M. Gyllenberg and
H. Huang and
M. Kirkilionis and
J. A. J. Metz and
H. R. Thieme On the formulation and analysis of
general deterministic structured
population models II. Nonlinear theory 157--189
C. Y. Chen and
H. M. Byrne and
J. R. King The influence of growth-induced stress
from the surrounding medium on the
development of multicell spheroids . . . 191--220
F. Berezovskaya and
G. Karev and
R. Arditi Parametric analysis of the
ratio-dependent predator--prey model . . 221--246
Annik Martin and
Shigui Ruan predator--prey models with delay and
prey harvesting . . . . . . . . . . . . 247--267
Dongmei Xiao and
Shigui Ruan Global dynamics of a ratio-dependent
predator--prey system . . . . . . . . . 268--290
Jonathan A. Sherratt and
Mark A. J. Chaplain A new mathematical model for avascular
tumour growth . . . . . . . . . . . . . 291--312
Joël R. Pradines and
Jeff Hasty and
Khashayar Pakdaman Complex ligand-protein systems: a
globally convergent iterative method for
the n$ \times $ m case . . . . . . . . . 313--324
Leah Edelstein-Keshet and
G. Bard Ermentrout A model for actin-filament length
distribution in a lamellipod . . . . . . 325--355
A. L. Ponomarev and
R. K. Sachs Radiation breakage of DNA: a model based
on random-walk chromatin structure . . . 356--376
Sze-Bi Hsu and
Tzy-Wei Hwang and
Yang Kuang Rich dynamics of a ratio-dependent
one-prey two-predators model . . . . . . 377--396
Melanie Bahlo and
Robert C. Griffiths Coalescence time for two genes from a
subdivided population . . . . . . . . . 397--410
Erik Plahte Pattern formation in discrete cell
lattices . . . . . . . . . . . . . . . . 411--445
Mojdeh Mohtashemi and
Richard Levins Transient dynamics and early diagnostics
in infectious disease . . . . . . . . . 446--470
Arild Wikan From chaos to chaos. An analysis of a
discrete age-structured prey-predator
model . . . . . . . . . . . . . . . . . 471--500
V. Hutson and
K. Mischaikow and
P. Polácik The evolution of dispersal rates in a
heterogeneous time-periodic environment 501--533
Luis H. R. Alvarez Does increased stochasticity speed up
extinction? . . . . . . . . . . . . . . 534--544
Mats Gyllenberg and
J. A. J. Metz On fitness in structured metapopulations 545--560
Yunxin Huang and
Odo Diekmann Predator migration in response to prey
density: What are the consequences? . . 561--581
Mark T. Stacey and
Kristina S. Mead and
Mimi A. R. Koehl Molecule capture by olfactory
antennules: Mantis shrimp . . . . . . . 1--30
L. Billings and
I. B. Schwartz Exciting chaos with noise: unexpected
dynamics in epidemic outbreaks . . . . . 31--48
S. A. Gourley and
J. W.-H. So Dynamics of a food-limited population
model incorporating nonlocal delays on a
finite domain . . . . . . . . . . . . . 49--78
Zvia Agur and
Yoaz Daniel and
Yuval Ginosar The universal properties of stem cells
as pinpointed by a simple discrete model 79--86
Arnaud Tonnelier Wave propagation in discrete media . . . 87--105
E. J. Crampin and
E. A. Gaffney and
P. K. Maini Mode-doubling and tripling in
reaction--diffusion patterns on growing
domains: A piecewise linear model . . . 107--128
S. R.-J. Jang Dynamics of herbivore-plant-pollinator
models . . . . . . . . . . . . . . . . . 129--149
Mei-Hui Wang and
Mark Kot and
Michael G. Neubert Integrodifference equations, Allee
effects, and invasions . . . . . . . . . 150--168
J. R. Gog and
J. Swinton A status-based approach to multiple
strain dynamics . . . . . . . . . . . . 169--184
Sanyi Tang and
Lansun Chen Density-dependent birth rate, birth
pulses and their population dynamic
consequences . . . . . . . . . . . . . . 185--199
Trachette L. Jackson Vascular tumor growth and treatment:
Consequences of polyclonality,
competition and dynamic vascular support 201--226
M. O'Callaghan and
A. G. Murray A tractable deterministic model with
realistic latent period for an epidemic
in a linear habitat . . . . . . . . . . 227--251
Thomas Nagylaki When and where was the most recent
common ancestor? . . . . . . . . . . . . 253--275
Hugo A. van den Berg and
Yuri N. Kiselev and
Michael V. Orlov Optimal allocation of building blocks
between nutrient uptake systems in a
microbe . . . . . . . . . . . . . . . . 276--296
Asim Sikder A Lotka--Volterra competition model and
its global convergence to a definite
axial equilibrium . . . . . . . . . . . 297--308
B. Kazmierczak and
T. Lipniacki Homoclinic solutions in mechanical
systems with small dissipation.
Application to DNA dynamics . . . . . . 309--329
M. Torres and
J. L. Aragón and
P. Domínguez and
D. Gil Regularity in irregular echinoids . . . 330--340
Mario Abundo and
Luigi Accardi and
Nicola Rosato and
Lorenzo Stella Analysing protein energy data by a
stochastic model for cooperative
interactions: comparison and
characterization of cooperativity . . . 341--359
Gary S. Krenz and
Christopher A. Dawson Vessel distensibility and flow
distribution in vascular trees . . . . . 360--374
W. Hwang and
P. L. Krapivsky and
S. Redner Fitness versus longevity in
age-structured population dynamics . . . 375--393
Shangbin Cui Analysis of a mathematical model for the
growth of tumors under the action of
external inhibitors . . . . . . . . . . 395--426
Paul F. Slade Conditional ancestral times and related
properties of an extant mutant at a
locus $A$ given the number of
segregating sites observed at a linked
locus $B$ . . . . . . . . . . . . . . . 427--449
Chi-Kwong Li and
Hans Schneider Applications of Perron--Frobenius theory
to population dynamics . . . . . . . . . 450--462
Dirk Horstmann On the existence of radially symmetric
blow-up solutions for the Keller--Segel
model . . . . . . . . . . . . . . . . . 463--478
Chichia Chiu and
Charles S. Peskin Numerical analysis of the flux and force
generated by a correlation ratchet
mechanism . . . . . . . . . . . . . . . 479--501
Jonathan P. Whiteley and
David J. Gavaghan and
Clive E. W. Hahn Mathematical modelling of oxygen
transport to tissue . . . . . . . . . . 503--522
Noël Bonneuil and
Patrick Saint-Pierre Minimal number of generations out of
polymorphism in the one-locus two-allele
model with unpredictable fertilities . . 523--547
S. A. H. Geritz and
M. Gyllenberg and
F. J. A. Jacobs and
K. Parvinen Invasion dynamics and attractor
inheritance . . . . . . . . . . . . . . 548--560
David Greenhalgh and
Fraser Lewis The general mixing of addicts and
needles in a variable-infectivity
needle-sharing environment . . . . . . . 561--598
Ilan Eshel and
Emilia Sansone and
Frans Jacobs A long-term genetic model for the
evolution of sexual preference: the
theories of Fisher and Zahavi
re-examined . . . . . . . . . . . . . . 1--21
\`Angel Calsina and
Jordi Ripoll Hopf bifurcation in a structured
population model for the sexual phase of
monogonont rotifers . . . . . . . . . . 22--36
Paolo Biscari and
Fulvio Bisi and
Riccardo Rosso Curvature effects on membrane-mediated
interactions of inclusions . . . . . . . 37--56
Clare L. Chapman and
James J. Wright and
Paul D. Bourke Spatial eigenmodes and synchronous
oscillation: Co-incidence detection in
simulated cerebral cortex . . . . . . . 57--78
Mats Gyllenberg and
Kalle Parvinen and
Ulf Dieckmann Evolutionary suicide and evolution of
dispersal in structured metapopulations 79--105
Kalle Parvinen Evolutionary branching of dispersal
strategies in structured metapopulations 106--124
C. J. W. Breward and
H. M. Byrne and
C. E. Lewis The role of cell-cell interactions in a
two-phase model for avascular tumour
growth . . . . . . . . . . . . . . . . . 125--152
S. Schuster and
C. Hilgetag and
J. H. Woods and
D. A. Fell Reaction routes in biochemical reaction
systems: Algebraic properties, validated
calculation procedure and example from
nucleotide metabolism . . . . . . . . . 153--181
Hans F. Weinberger and
Mark A. Lewis and
Bingtuan Li Analysis of linear determinacy for
spread in cooperative models . . . . . . 183--218
Mark A. Lewis and
Bingtuan Li and
Hans F. Weinberger Spreading speed and linear determinacy
for two-species competition models . . . 219--233
Frithjof Lutscher Modeling alignment and movement of
animals and cells . . . . . . . . . . . 234--260
Gabriele Grassi and
Mario Grassi and
Anne Kuhn and
Reinhard Kandolf Determination of hammerhead ribozyme
kinetic constants at high molar ratio
ribozyme-substrate . . . . . . . . . . . 261--277
Peter Olofsson and
Chad A. Shaw Exact sampling formulas for multi-type
Galton--Watson processes . . . . . . . . 279--293
J. Al-Omari and
S. A. Gourley Monotone travelling fronts in an
age-structured reaction--diffusion model
of a single species . . . . . . . . . . 294--312
Julien Arino and
Jean-Luc Gouzé and
Antoine Sciandra A discrete, size-structured model of
phytoplankton growth in the chemostat 313--336
E. A. Gaffney and
K. Pugh and
P. K. Maini and
F. Arnold Investigating a simple model of
cutaneous wound healing angiogenesis . . 337--374
C. T. Bauch A versatile ODE approximation to a
network model for the spread of sexually
transmitted diseases . . . . . . . . . . 375--395
Torsten Lindström On the dynamics of discrete food chains:
Low- and high-frequency behavior and
optimality of chaos . . . . . . . . . . 396--418
F. Arrigoni and
A. Pugliese Limits of a multi-patch SIS epidemic
model . . . . . . . . . . . . . . . . . 419--440
Henry W. Haslach A nonlinear dynamical mechanism for
bruit generation by an intracranial
saccular aneurysm . . . . . . . . . . . 441--460
Anders Stockmarr The distribution of particles in the
plane dispersed by a simple
$3$-dimensional diffusion process . . . 461--469
K. Cooke and
P. van den Driessche and
X. Zou Interaction of maturation delay and
nonlinear birth in population and
epidemic models . . . . . . . . . . . . 470--470
J. H. P. Dawes and
J. R. Gog The onset of oscillatory dynamics in
models of multiple disease strains . . . 471--510
Hans F. Weinberger On spreading speeds and traveling waves
for growth and migration models in a
periodic habitat . . . . . . . . . . . . 511--548
Anita T. Layton and
Harold E. Layton A numerical method for renal models that
represent tubules with abrupt changes in
membrane properties . . . . . . . . . . 549--567
Shree Y. Whitaker and
Hien T. Tran and
Christopher J. Portier Development of a biologically-based
controlled growth and differentiation
model for developmental toxicology . . . 1--16
Tzy-Wei Hwang and
Yang Kuang Deterministic extinction effect of
parasites on host populations . . . . . 17--30
Lourdes Esteva and
Cristobal Vargas Coexistence of different serotypes of
dengue virus . . . . . . . . . . . . . . 31--47
Patrick De Leenheer and
Hal Smith Feedback control for chemostat models 48--70
Sabin Lessard and
Ghislain Rocheleau Change in frequency of a rare mutant
allele: A general formula and
applications to partial inbreeding
models . . . . . . . . . . . . . . . . . 71--94
N. V. Davydova and
O. Diekmann and
S. A. van Gils Year class coexistence or competitive
exclusion for strict biennials? . . . . 95--131
Jianhua Huang and
Gang Lu and
Shigui Ruan Existence of traveling wave solutions in
a diffusive predator--prey model . . . . 132--152
Y. Dolak and
T. Hillen Cattaneo models for chemosensitive
movement . . . . . . . . . . . . . . . . 153--170
Paul Schliekelman Transient dynamics in multilocus
invasions by transgenic organisms . . . 171--188
E. A. Gaffney and
K. Pugh and
P. K. Maini and
F. Arnold Investigating a simple model of
cutaneous wound healing angiogenesis . . 189--189
Hans F. Weinberger On spreading speeds and traveling waves
for growth and migration models in a
periodic habitat . . . . . . . . . . . . 190--190
Vittorio Cristini and
John Lowengrub and
Qing Nie Nonlinear simulation of tumor growth . . 191--224
D. Waxman Numerical and exact solutions for
continuum of alleles models . . . . . . 225--240
Carsten Wiuf Inferring population history from
genealogical trees . . . . . . . . . . . 241--264
W. Garrett Mitchener Bifurcation analysis of the fully
symmetric language dynamical equation 265--285
Eric P. Salathe Mathematical analysis of oxygen
concentration in a two dimensional array
of capillaries . . . . . . . . . . . . . 287--308
J. T. Ottesen Valveless pumping in a fluid-filled
closed elastic tube-system:
one-dimensional theory with experimental
validation . . . . . . . . . . . . . . . 309--332
Sandip Ghosal and
Shreyas Mandre A simple model illustrating the role of
turbulence on phytoplankton blooms . . . 333--346
William D. Lakin and
Scott A. Stevens and
Bruce I. Tranmer and
Paul L. Penar A whole-body mathematical model for
intracranial pressure dynamics . . . . . 347--383
Maia Martcheva and
Horst R. Thieme Progression age enhanced backward
bifurcation in an epidemic model with
super-infection . . . . . . . . . . . . 385--424
Rebecca V. Culshaw and
Shigui Ruan and
Glenn Webb A mathematical model of cell-to-cell
spread of HIV-1 that includes a time
delay . . . . . . . . . . . . . . . . . 425--444
Ilan Eshel and
Emilia Sansone Evolutionary and dynamic stability in
continuous population games . . . . . . 445--459
Y. Dolak and
T. Hillen Cattaneo models for chemosensitive
movement . . . . . . . . . . . . . . . . 460--460
Y. Dolak and
T. Hillen Cattaneo models for chemosensitive
movement . . . . . . . . . . . . . . . . 461--478
Srabashi Basu and
Debi Prosad Burma and
Probal Chaudhuri Words in DNA sequences: some case
studies based on their frequency
statistics . . . . . . . . . . . . . . . 479--503
Viggo Andreasen Dynamics of annual influenza A epidemics
with immuno-selection . . . . . . . . . 504--536
Edith Geigant and
Michael Stoll Bifurcation analysis of an orientational
aggregation model . . . . . . . . . . . 537--563
A. Margheri and
C. Rebelo Some examples of persistence in
epidemiological models . . . . . . . . . 564--570
Maria-Josefina Hernandez and
Ignacio Barradas Variation in the outcome of population
interactions: bifurcations and
catastrophes . . . . . . . . . . . . . . 571--594
Jaume Casasnovas and
Joe Miro-Julia and
Francesc Rosselló On the algebraic representation of RNA
secondary structures with $ G \cdot U $
pairs . . . . . . . . . . . . . . . . . 1--22
John P. Ward and
John R. King and
Adrian J. Koerber and
Julie M. Croft and
R. Elizabeth Sockett and
Paul Williams Early development and quorum sensing in
bacterial biofilms . . . . . . . . . . . 23--55
Sebastian J. Schreiber and
Glory A. Tobiason The evolution of resource use . . . . . 56--78
Jonathan P. Whiteley and
David J. Gavaghan and
Clive E. W. Hahn Mathematical modelling of pulmonary gas
transport . . . . . . . . . . . . . . . 79--99
Ivar Òstby and
Leiv S. Rusten and
Gunnar Kvalheim and
Per Gròttum A mathematical model for reconstitution
of granulopoiesis after high dose
chemotherapy with autologous stem cell
transplantation . . . . . . . . . . . . 101--136
Don Jones and
Hristo V. Kojouharov and
Dung Le and
Hal Smith The Freter model: A simple model of
biofilm formation . . . . . . . . . . . 137--152
Azmy S. Ackleh and
Linda J. S. Allen Competitive exclusion and coexistence
for pathogens in an epidemic model with
variable population size . . . . . . . . 153--168
O. Stiedl and
M. Meyer Fractal dynamics in circadian cardiac
time series of corticotropin-releasing
factor receptor subtype-2 deficient mice 169--197
J. A. Vargas and
R. F. del Castillo Nuclear androdioecy and gynodioecy . . . 199--221
F. J. A. Jacobs and
J. A. J. Metz On the concept of attractor for
community-dynamical processes I: the
case of unstructured populations . . . . 222--234
Mats Gyllenberg and
F. J. A. Jacobs and
J. A. J. Metz On the concept of attractor for
community-dynamical processes II: the
case of structured populations . . . . . 235--248
Y. Timofeeva and
S. Coombes Wave bifurcation and propagation failure
in a model of Ca$^{2+}$ release . . . . 249--269
Minaya Villasana and
Ami Radunskaya A delay differential equation model for
tumor growth . . . . . . . . . . . . . . 270--294
Britta Basse and
Bruce C. Baguley and
Elaine S. Marshall and
Wayne R. Joseph and
Bruce van Brunt and
Graeme Wake and
David J. N. Wall A mathematical model for analysis of the
cell cycle in cell lines derived from
human tumors . . . . . . . . . . . . . . 295--312
Chang-Xing Ma and
George Casella and
Ramon C. Littell and
André I. Khuri and
Rongling Wu Exponential mapping of quantitative
trait loci governing allometric
relationships in organisms . . . . . . . 313--324
Mark E. Baird Numerical approximations of the mean
absorption cross-section of a variety of
randomly oriented microalgal shapes . . 325--336
Martin Möhle and
Serik Sagitov Coalescent patterns in diploid
exchangeable population models . . . . . 337--352
A. Mogilner and
L. Edelstein-Keshet and
L. Bent and
A. Spiros Mutual interactions, potentials, and
individual distance in a social
aggregation . . . . . . . . . . . . . . 353--389
Peter Olofsson and
Chad A. Shaw Exact sampling formulas for multi-type
Galton--Watson processes . . . . . . . . 390--390
Avner Friedman and
Youshan Tao Analysis of a model of a virus that
replicates selectively in tumor cells 391--423
S. J. Franks and
H. M. Byrne and
J. R. King and
J. C. E. Underwood and
C. E. Lewis Modelling the early growth of ductal
carcinoma in situ of the breast . . . . 424--452
Leonardo P. Maia and
Daniela F. Botelho and
José F. Fontanari Analytical solution of the evolution
dynamics on a multiplicative-fitness
landscape . . . . . . . . . . . . . . . 453--456
József Garay When does the variance of replicator
fitness decrease? . . . . . . . . . . . 457--464
Ross Cressman and
József Garay and
Zoltán Varga Evolutionarily stable sets in the
single-locus frequency-dependent model
of natural selection . . . . . . . . . . 465--482
V. Hutson and
S. Martinez and
K. Mischaikow and
G. T. Vickers The evolution of dispersal . . . . . . . 483--517
Kevin C. Chen and
Roseanne M. Ford and
Peter T. Cummings Cell balance equation for chemotactic
bacteria with a biphasic tumbling
frequency . . . . . . . . . . . . . . . 518--546
Jia Li and
Zhien Ma and
Steve P. Blythe and
Carlos Castillo-Chavez Coexistence of pathogens in
sexually-transmitted disease models . . 547--568
Fabio Dercole Remarks on branching-extinction
evolutionary cycles . . . . . . . . . . 569--580
Aline de Koeijer and
Hans Heesterbeek and
Bram Schreuder and
Radulf Oberthür and
John Wilesmith and
Herman van Roermund and
Mart de Jong Quantifying BSE control by calculating
the basic reproduction ratio $ R_0 $ for
the infection among cattle . . . . . . . 1--22
Edward L. Ionides and
Kathy S. Fang and
R. Rivkah Isseroff and
George F. Oster Stochastic models for cell motion and
taxis . . . . . . . . . . . . . . . . . 23--37
Romain Brette Dynamics of one-dimensional spiking
neuron models . . . . . . . . . . . . . 38--56
Ryusuke Kon Permanence of discrete-time Kolmogorov
systems for two species and saturated
fixed points . . . . . . . . . . . . . . 57--81
I. Stoleriu and
F. A. Davidson and
J. L. Liu Quasi-steady state assumptions for
non-isolated enzyme-catalysed reactions 82--104
J. D. H. Smith A macroscopic approach to demography . . 105--118
Rachel Norman and
David Ross and
M. Karen Laurenson and
Peter J. Hudson The role of non-viraemic transmission on
the persistence and dynamics of a tick
borne virus --- Louping ill in red
grouse (\booktitleLagopus lagopus
scoticus) and mountain hares
(\booktitleLepus timidus) . . . . . . . 119--134
\`Angel Calsina and
Sílvia Cuadrado Small mutation rate and evolutionarily
stable strategies in infinite
dimensional adaptive dynamics . . . . . 135--159
Yun S. Song and
Jotun Hein On the minimum number of recombination
events in the evolutionary history of
DNA sequences . . . . . . . . . . . . . 160--186
R. S. Cantrell and
C. Cosner Deriving reaction--diffusion models in
ecology from interacting particle
systems . . . . . . . . . . . . . . . . 187--217
D. Gammack and
C. R. Doering and
D. E. Kirschner Macrophage response to
Mycobacteriumtuberculosis infection . . 218--242
Remus Osan and
Rodica Curtu and
Jonathan Rubin and
Bard Ermentrout Multiple-spike waves in a
one-dimensional integrate-and-fire
neural network . . . . . . . . . . . . . 243--274
Sabin Lessard and
John Wakeley The two-locus ancestral graph in a
subdivided population: convergence as
the number of demes grows in the island
model . . . . . . . . . . . . . . . . . 275--292
Frithjof Lutscher and
Mark A. Lewis Spatially-explicit matrix models . . . . 293--324
R. M. Luther and
M. Broom Rapid convergence to an equilibrium
state in kleptoparasitic populations . . 325--339
Josiane Courteau and
Sabin Lessard Sex ratio evolution through group
selection using diffusion approximation 340--356
Sanyi Tang and
Lansun Chen The effect of seasonal harvesting on
stage-structured population models . . . 357--374
E. A. Gaffney The application of mathematical
modelling to aspects of adjuvant
chemotherapy scheduling . . . . . . . . 375--422
Helmut Knolle A discrete branching process model for
the spread of HIV via steady sexual
partnerships . . . . . . . . . . . . . . 423--443
Steven D. Webb and
Markus R. Owen Oscillations and patterns in spatially
discrete models for developmental
intercellular signalling . . . . . . . . 444--476
D. Ambrosi and
F. Mollica The role of stress in the growth of a
multicell spheroid . . . . . . . . . . . 477--499
Edward Pollak Malthusian parameters, reproductive
values and change under selection in
self fertilizing age-structured
populations . . . . . . . . . . . . . . 500--514
Ryusuke Kon and
Yasuhisa Saito and
Yasuhiro Takeuchi Permanence of single-species
stage-structured models . . . . . . . . 515--528
M. Broom and
G. D. Ruxton A framework for modelling and analysing
conspecific brood parasitism . . . . . . 529--544
Rebecca V. Culshaw and
Shigui Ruan and
Raymond J. Spiteri Optimal HIV treatment by maximising
immune response . . . . . . . . . . . . 545--562
Calvin Ahlbrandt and
Gary Benson and
William Casey Minimal entropy probability paths
between genome families . . . . . . . . 563--590
Christoffer Wenzel Tornòe and
Judith L. Jacobsen and
Henrik Madsen Grey-box pharmacokinetic/pharmacodynamic
modelling of a euglycaemic clamp study 591--604
Glenn Ledder and
J. David Logan and
Anthony Joern Dynamic energy budget models with
size-dependent hazard rates . . . . . . 605--622
Michael Günther and
Valentin Keppler and
André Seyfarth and
Reinhard Blickhan Human leg design: optimal axial
alignment under constraints . . . . . . 623--646
J. V. Greenman and
T. G. Benton Large amplification in stage-structured
models: Arnol'd tongues revisited . . . 647--671
B. Barnes and
G. Farquhar and
K. Gan Modelling the isotope enrichment of leaf
water . . . . . . . . . . . . . . . . . 672--702
Pawan P. Singh and
Dirk E. Maier and
John H. Cushman and
Kamyar Haghighi and
Carlos Corvalan Effect of viscoelastic relaxation on
moisture transport in foods. Part I:
Solution of general transport equation 1--19
Pawan P. Singh and
Dirk E. Maier and
John H. Cushman and
Osvaldo H. Campanella Effect of viscoelastic relaxation on
moisture transport in foods. Part II:
Sorption and drying of soybeans . . . . 20--34
Arild Wikan Dynamical consequences of harvest in
discrete age-structured population
models . . . . . . . . . . . . . . . . . 35--55
L. J. Cummings and
S. L. Waters and
J. A. D. Wattis and
S. J. Graham The effect of ureteric stents on urine
flow: Reflux . . . . . . . . . . . . . . 56--82
Andrea Pugliese and
Lorenza Tonetto Thresholds for macroparasite infections 83--110
Nikos V. Mantzaris and
Steve Webb and
Hans G. Othmer Mathematical modeling of tumor-induced
angiogenesis . . . . . . . . . . . . . . 111--187
Stephen A. Gourley and
Yang Kuang A stage structured predator--prey model
and its dependence on maturation delay
and death rate . . . . . . . . . . . . . 188--200
Oliver Redner and
Michael Baake Unequal Crossover Dynamics in Discrete
and Continuous Time . . . . . . . . . . 201--226
B. W. Kooi and
L. D. J. Kuijper and
S. A. L. M. Kooijman Consequences of symbiosis for food web
dynamics . . . . . . . . . . . . . . . . 227--271
David A. Edwards Refining the measurement of rate
constants in the BIAcore . . . . . . . . 272--292
Franz Hofbauer and
Josef Hofbauer and
Peter Raith and
Thomas Steinberger Intermingled basins in a two species
system . . . . . . . . . . . . . . . . . 293--309
Y. S. Choi and
Juliet Lee and
Roger Lui Traveling wave solutions for a
one-dimensional crawling nematode sperm
cell model . . . . . . . . . . . . . . . 310--328
Britta Basse and
Bruce C. Baguley and
Elaine S. Marshall and
Wayne R. Joseph and
Bruce van Brunt and
Graeme Wake and
David J. N. Wall Modelling cell death in human tumour
cell lines exposed to the anticancer
drug paclitaxel . . . . . . . . . . . . 329--357
David Iron and
Juncheng Wei and
Matthias Winter Stability analysis of Turing patterns
generated by the Schnakenberg model . . 358--390
Andrew D. Vincent and
Mary R. Myerscough The effect of a non-uniform turning
kernel on ant trail morphology . . . . . 391--432
Gabriella Margaria and
Eva Riccomagno and
Lisa J. White Structural identifiability analysis of
some highly structured families of
statespace models using differential
algebra . . . . . . . . . . . . . . . . 433--454
Stephan Morgenthaler and
Pablo Herrero and
William G. Thilly Multistage carcinogenesis and the
fraction at risk . . . . . . . . . . . . 455--467
A. D. Barbour and
A. Pugliese Convergence of a structured
metapopulation model to Levins's model 468--500
Ivar Òstby and
Ragnar Winther Stability of a model of human
granulopoiesis using continuous
maturation . . . . . . . . . . . . . . . 501--536
Ben D. MacArthur and
Colin P. Please Residual stress generation and necrosis
formation in multi-cell tumour spheroids 537--552
Pieter Trapman and
Ronald Meester and
Hans Heesterbeek A branching model for the spread of
infectious animal diseases in varying
environments . . . . . . . . . . . . . . 553--576
Tomás Gedeon and
Matt Holzer Phase locking in integrate-and-fire
models with refractory periods and
modulation . . . . . . . . . . . . . . . 577--603
Helen M. Byrne and
Markus R. Owen A new interpretation of the
Keller--Segel model based on multiphase
modelling . . . . . . . . . . . . . . . 604--626
German Enciso and
Eduardo D. Sontag On the stability of a model of
testosterone dynamics . . . . . . . . . 627--634
E. Mjòlhus and
A. Wikan and
T. Solberg On synchronization in semelparous
populations . . . . . . . . . . . . . . 1--21
Dan Beamish and
Christopher Peskun and
Jianhong Wu Critical delay for overshooting in
planned arm movements with delayed
feedback . . . . . . . . . . . . . . . . 22--48
Daniela Morale and
Vincenzo Capasso and
Karl Oelschläger An interacting particle system modelling
aggregation behavior: from individuals
to populations . . . . . . . . . . . . . 49--66
Stefan A. H. Geritz Resident-invader dynamics and the
coexistence of similar strategies . . . 67--82
Ellen Baake and
Michael Baake and
Anton Bovier and
Markus Klein An asymptotic maximum principle for
essentially linear evolution models . . 83--114
I. Stoleriu and
F. A. Davidson and
J. L. Liu Effects of periodic input on the
quasi-steady state assumptions for
enzyme-catalysed reactions . . . . . . . 115--132
Mats Gyllenberg and
Géza Meszéna On the impossibility of coexistence of
infinitely many strategies . . . . . . . 133--160
C. Carrillo and
P. Fife Spatial effects in discrete generation
population models . . . . . . . . . . . 161--188
Francis Filbet and
Philippe Laurençot and
Beno\^\it Perthame Derivation of hyperbolic models for
chemosensitive movement . . . . . . . . 189--207
Ola Hössjer Information and effective number of
meioses in linkage analysis . . . . . . 208--232
M. C. M. de Gunst and
J. G. Schouten Model selection and parameter estimation
for ion channel recordings with an
application to the $ K^+ $
outward-rectifier in barley leaf . . . . 233--256
Sanyi Tang and
Robert A. Cheke State-dependent impulsive models of
integrated pest management (IPM)
strategies and their dynamic
consequences . . . . . . . . . . . . . . 257--292
Jerry J. Batzel and
Franz Kappel and
Susanne Timischl-Teschl A cardiovascular-respiratory control
system model including state delay with
application to congestive heart failure
in humans . . . . . . . . . . . . . . . 293--335
Tian Liu and
Wei Zhao and
Lili Tian and
Rongling Wu An algorithm for molecular dissection of
tumor progression . . . . . . . . . . . 336--354
Reinhard Bürger A multilocus analysis of intraspecific
competition and stabilizing selection on
a quantitative trait . . . . . . . . . . 355--396
M. Scholz and
C. Engel and
M. Loeffler Modelling Human Granulopoiesis under
Poly-chemotherapy with G-CSF Support . . 397--439
A. J. Koerber and
J. R. King and
P. Williams Deterministic and stochastic modelling
of endosome escape by
\bionameStaphylococcus aureus:
``quorum'' sensing by a single bacterium 440--488
Huaxing Xia and
Gail S. K. Wolkowicz and
Lin Wang Transient oscillations induced by
delayed growth response in the chemostat 489--530
L. J. Abu-Raddad and
N. M. Ferguson Characterizing the symmetric equilibrium
of multi-strain host-pathogen systems in
the presence of cross immunity . . . . . 531--558
Peter G. Schofield and
Mark A. J. Chaplain and
Stephen F. Hubbard Dynamic heterogeneous spatio-temporal
pattern formation in host-parasitoid
systems with synchronised generations 559--583
A. A. Castrejón-Pita and
A. Sarmiento-Galán and
J. R. Castrejón-Pita and
R. Castrejón-García Fractal Dimension in Butterflies' Wings:
a novel approach to understanding wing
patterns? . . . . . . . . . . . . . . . 584--594
B. Vielle Mathematical analysis of Mayer waves . . 595--606
H. T. Banks and
D. M. Bortz A parameter sensitivity methodology in
the context of HIV delay equation models 607--625
James M. Hyman and
Jia Li Differential susceptibility epidemic
models . . . . . . . . . . . . . . . . . 626--644
Paul Joyce and
Zaid Abdo and
José M. Ponciano and
Leen De Gelder and
Larry J. Forney and
Eva M. Top Modeling the impact of periodic
bottlenecks, unidirectional mutation,
and observational error in experimental
evolution . . . . . . . . . . . . . . . 645--662
Cailin Xu and
Mark S. Boyce and
Daryl J. Daley Harvesting in seasonal environments . . 663--682
Morten Gram Pedersen Wave speeds of density dependent Nagumo
diffusion equations --- inspired by
oscillating gap-junction conductance in
the islets of Langerhans . . . . . . . . 683--698
Yilei Tang and
Weinian Zhang Heteroclinic bifurcation in a
ratio-dependent predator--prey system 699--712
G. Buffoni and
M. P. Cassinari and
M. Groppi and
M. Serluca Modelling of predator--prey trophic
interactions. Part I: two trophic levels 713--732
J. H. Merkin and
B. D. Sleeman On the spread of morphogens . . . . . . 1--17
J. G. Sumner and
P. D. Jarvis Entanglement invariants and phylogenetic
branching . . . . . . . . . . . . . . . 18--36
Youshan Tao and
Qian Guo The competitive dynamics between tumor
cells, a replication-competent virus and
an immune response . . . . . . . . . . . 37--74
Henri Berestycki and
François Hamel and
Lionel Roques Analysis of the periodically fragmented
environment model: I --- Species
persistence . . . . . . . . . . . . . . 75--113
Leonardo P. Maia The dynamical way to mutation--selection
balance of an infinite population
evolving on a truncated fitness
landscape . . . . . . . . . . . . . . . 114--122
Vladimir M. Veliov On the effect of population
heterogeneity on dynamics of epidemic
diseases . . . . . . . . . . . . . . . . 123--143
Hans Petter Hornæs and
Jan Henrik Wold and
Ivar Farup Colorimetry and prime colours- a theorem 144--156
J. Rübel and
J. Starke Analysis and visualization of
growth-related and treatment-induced
craniofacial changes . . . . . . . . . . 157--170
Mihaela Baroni and
Stefan Grünewald and
Vincent Moulton and
Charles Semple Bounding the Number of Hybridisation
Events for a Consistent Evolutionary
History . . . . . . . . . . . . . . . . 171--182
Jonathan A. Sherratt An Analysis of Vegetation Stripe
Formation in Semi--Arid Landscapes . . . 183--197
Christian Mazza Strand separation in negatively
supercoiled DNA . . . . . . . . . . . . 198--216
Avner Friedman and
Gheorghe Craciun A model of intracellular transport of
particles in an axon . . . . . . . . . . 217--246
Akiko Murase and
Toru Sasaki and
Tsuyoshi Kajiwara Stability analysis of pathogen-immune
interaction dynamics . . . . . . . . . . 247--267
Thomas Nagylaki A stochastic model for a progressive
chronic disease . . . . . . . . . . . . 268--280
Elisheva Cohen and
David A. Kessler Equilibrium state of molecular breeding 281--301
Markus Hilpert Lattice-Boltzmann model for bacterial
chemotaxis . . . . . . . . . . . . . . . 302--332
F. Dercole and
K. Niklas and
R. Rand Self-thinning and community persistence
in a simple size-structured dynamical
model of plant growth . . . . . . . . . 333--354
Alain Goriely and
György Károlyi and
Michael Tabor Growth induced curve dynamics for
filamentary micro-organisms . . . . . . 355--366
Walter Allegretto and
Chiara Mocenni and
Antonio Vicino Periodic solutions in modelling lagoon
ecological interactions . . . . . . . . 367--388
Michael Golinski and
Ernest Barany and
Mary Ballyk Ecological conditions that favor the
evolution of intermediate-virulence in
an environmentally transmitted parasite 389--402
Yajun Yin and
Jie Yin and
Dong Ni General Mathematical Frame for Open or
Closed Biomembranes (Part I):
Equilibrium Theory and Geometrically
Constraint Equation . . . . . . . . . . 403--413
M. G. M. Gomes and
A. Margheri and
G. F. Medley and
C. Rebelo Dynamical behaviour of epidemiological
models with sub-optimal immunity and
nonlinear incidence . . . . . . . . . . 414--430
R. Sanchez and
E. Morgado and
R. Grau Gene algebra from a genetic code
algebraic structure . . . . . . . . . . 431--457
Mary M. Ballyk and
C. Connell McCluskey and
Gail S. K. Wolkowicz Global analysis of competition for
perfectly substitutable resources with
linear response . . . . . . . . . . . . 458--490
Andreas Jung and
Rupert Faltermeier and
Ralf Rothoerl and
Alexander Brawanski A mathematical model of cerebral
circulation and oxygen supply . . . . . 491--507
A. C. Fowler and
M. J. McGuinness A delay recruitment model of the
cardiovascular control system . . . . . 508--526
E. A. Codling and
N. A. Hill Calculating spatial statistics for
velocity jump processes with
experimentally observed reorientation
parameters . . . . . . . . . . . . . . . 527--556
K. Anguige and
J. R. King and
J. P. Ward Modelling antibiotic- and anti-quorum
sensing treatment of a
spatially-structured Pseudomonas
aeruginosa population . . . . . . . . . 557--594
Y. Dolak and
C. Schmeiser Kinetic models for chemotaxis:
Hydrodynamic limits and spatio-temporal
mechanisms . . . . . . . . . . . . . . . 595--615
Ivo M. Foppa The basic reproductive number of
tick-borne encephalitis virus . . . . . 616--628
Herbert W. Hethcote and
Wendi Wang and
Yi Li Species Coexistence and Periodicity in
Host--Host-Pathogen Models . . . . . . . 629--660
O. E. Akman and
D. S. Broomhead and
R. V. Abadi and
R. A. Clement Eye movement instabilities and nystagmus
can be predicted by a nonlinear dynamics
model of the saccadic system . . . . . . 661--694
Ph. Getto and
O. Diekmann and
A. M. de Roos On the (dis) advantages of cannibalism 695--712
Kalle Parvinen and
Ulf Dieckmann and
Mikko Heino Function-valued adaptive dynamics and
the calculus of variations . . . . . . . 1--26
Richard Casey and
Hidde de Jong and
Jean-Luc Gouzé Piecewise-linear Models of Genetic
Regulatory Networks: Equilibria and
their Stability . . . . . . . . . . . . 27--56
M. V. P. Garcia and
C. Possani and
R. Ranvaud and
F. A. Tal Three theorems on gradient fields
potentially useful in homing pigeon
navigation . . . . . . . . . . . . . . . 57--69
H. Seno Group size determined by fusion and
fission A mathematical modelling with
inclusive fitness . . . . . . . . . . . 70--92
Bruce P. Ayati A structured-population model of
\bionameProteus mirabilis swarm-colony
development . . . . . . . . . . . . . . 93--114
S. R. Jones and
N. Kopell Local network parameters can affect
inter-network phase lags in central
pattern generators . . . . . . . . . . . 115--140
Jeff Moehlis Canards for a reduction of the
Hodgkin--Huxley equations . . . . . . . 141--153
Michael Nikolaou and
Vincent H. Tam A New Modeling Approach to the Effect of
Antimicrobial Agents on Heterogeneous
Microbial Populations . . . . . . . . . 154--182
Manuela L. de Castro and
Jacques A. L. Silva and
Dagoberto A. R. Justo Stability in an age-structured
metapopulation model . . . . . . . . . . 183--208
E. S. Medvedev and
A. A. Stuchebrukhov Kinetics of proton diffusion in the
regimes of fast and slow exchange
between the membrane surface and the
bulk solution . . . . . . . . . . . . . 209--234
Kohei Yoshiyama and
Hisao Nakajima Catastrophic shifts in vertical
distributions of phytoplankton The
existence of a bifurcation set . . . . . 235--276
H. Qian An Asymptotic Comparative Analysis of
the Thermodynamics of Non--Covalent
Association . . . . . . . . . . . . . . 277--289
M. E. Alexander and
S. M. Moghadas and
P. Rohani and
A. R. Summers Modelling the effect of a booster
vaccination on disease epidemiology . . 290--306
James W. Anderson and
Keith R. Fox and
Graham A. Niblo A fast algorithm for the construction of
universal footprinting templates in DNA 307--342
Yann Guédon and
Yves d'Aubenton-Carafa and
Claude Thermes Analysing grouping of nucleotides in DNA
sequences using lumped processes
constructed from Markov chains . . . . . 343--372
Etienne Farcot Geometric properties of a class of
piecewise affine biological network
models . . . . . . . . . . . . . . . . . 373--418
Patrick De Leenheer and
Simon A. Levin and
Eduardo D. Sontag and
Christopher A. Klausmeier Global stability in a chemostat with
multiple nutrients . . . . . . . . . . . 419--438
Reinhard Höpfner and
Klaus Brodda A stochastic model and a functional
central limit theorem for information
processing in large systems of neurons 439--457
R. E. Baker and
S. Schnell and
P. K. Maini A mathematical investigation of a Clock
and Wavefront model for somitogenesis 458--482
Kristan A. Schneider A multilocus-multiallele analysis of
frequency-dependent selection induced by
intraspecific competition . . . . . . . 483--523
R. Coutinho and
B. Fernandez and
R. Lima and
A. Meyroneinc Discrete time piecewise affine models of
genetic regulatory networks . . . . . . 524--570
Greg Lemon and
John R. King and
Helen M. Byrne and
Oliver E. Jensen and
Kevin M. Shakesheff Mathematical modelling of engineered
tissue growth using a multiphase porous
flow mixture theory . . . . . . . . . . 571--594
Ilan Eshel and
Emilia Sansone and
Avner Shaked Gregarious behaviour of evasive prey . . 595--612
K. T. Huber and
V. Moulton Phylogenetic networks from
multi-labelled trees . . . . . . . . . . 613--632
Michel De Lara Mum, why do you keep on growing?Impacts
of environmental variability on optimal
growth and reproduction allocation
strategies of annual plants . . . . . . 633--666
Lorens A. Imhof and
Martin A. Nowak Evolutionary game dynamics in a
Wright--Fisher process . . . . . . . . . 667--681
Gabriela Litcanu and
Juan J. L. Velázquez Singular perturbation analysis of cAMP
signalling in \bionameDictyostelium
discoideum aggregates . . . . . . . . . 682--718
Sebastian J. Schreiber Host-parasitoid dynamics of a
generalized Thompson model . . . . . . . 719--732
K. W. Chow and
C. C. Mak A simple model for the two dimensional
blood flow in the collapse of veins . . 733--744
Steven M. Baer and
Bingtuan Li and
Hal L. Smith Multiple limit cycles in the standard
model of three species competition for
three essential resources . . . . . . . 745--760
J. V. Ross A stochastic metapopulation model
accounting for habitat dynamics . . . . 788--806
Junping Shi and
Ratnasingham Shivaji Persistence in reaction diffusion models
with weak Allee effect . . . . . . . . . 807--829
M. Meyer and
O. Stiedl Fractal rigidity by enhanced
sympatho-vagal antagonism in heartbeat
interval dynamics elicited by central
application of corticotropin-releasing
factor in mice . . . . . . . . . . . . . 830--874
J. R. Miller and
M. C. Pugh and
M. B. Hamilton A finite locus effect diffusion model
for the evolution of a quantitative
trait . . . . . . . . . . . . . . . . . ??
Uffe Hògsbro Thygesen and
Thomas Kiòrboe Diffusive transport in Stokeslet flow
and its application to plankton ecology 1--14
Alan Grafen A theory of Fisher's reproductive value 15--60
Kieran J. Sharkey and
Carmen Fernandez and
Kenton L. Morgan and
Edmund Peeler and
Mark Thrush and
James F. Turnbull and
Roger G. Bowers Pair-level approximations to the
spatio-temporal dynamics of epidemics on
asymmetric contact networks . . . . . . 61--85
Cosmina S. Hogea and
Bruce T. Murray and
James A. Sethian Simulating complex tumor dynamics from
avascular to vascular growth using a
general level-set method . . . . . . . . 86--134
Peter Clote and
Jürg Straubhaar Symmetric time warping, Boltzmann pair
probabilities and functional genomics 135--161
Benjamin Friedrich A mesoscopic model for helical bacterial
flagella . . . . . . . . . . . . . . . . 162--178
Jong-Shenq Guo and
Je-Chiang Tsai The asymptotic behavior of solutions of
the buffered bistable system . . . . . . 179--213
Tufail Malik and
Hal Smith A Resource-based Model of Microbial
Quiescence . . . . . . . . . . . . . . . 231--252
Frederick H. Chen A Susceptible-infected Epidemic Model
with Voluntary Vaccinations . . . . . . 253--272
Ryo Kobayashi and
Atsushi Tero and
Toshiyuki Nakagaki Mathematical Model for Rhythmic
Protoplasmic Movement in the True Slime
Mold . . . . . . . . . . . . . . . . . . 273--286
Alan M. Whitman and
Hashem Ashrafiuon Asymptotic Theory of an Infectious
Disease Model . . . . . . . . . . . . . 287--304
Andrew Y. Morozov and
Bai-Lian Li Parametric Analysis of a predator--prey
System Stabilized by a Top Predator . . 305--335
Martin O'Hely A Diffusion Approach to Approximating
Preservation Probabilities for Gene
Duplicates . . . . . . . . . . . . . . . ??
Wolfgang Alt ESMTB --- European Society for
Mathematical and Theoretical Biology . . 337--339
Merc\`e Llabrés and
Jairo Rocha and
Francesc Rosselló and
Gabriel Valiente On the Ancestral Compatibility of Two
Phylogenetic Trees with Nested Taxa . . 340--364
Hassan A. El-Morshedy and
Eduardo Liz Globally attracting fixed points in
higher order discrete population models 365--384
Wensheng Zhang and
Aurélie Edwards Mathematical model of nitric oxide
convection and diffusion in a renal
medullary vas rectum . . . . . . . . . . 385--420
Nicolas Bacaër and
Souad Guernaoui The epidemic threshold of vector-borne
diseases with seasonality . . . . . . . 421--436
Pavel Belík and
P. W. A. Dayananda and
John T. Kemper and
Mikhail M. Shvartsman A stochastic model for PSA levels:
behavior of solutions and population
statistics . . . . . . . . . . . . . . . 437--463
J. A. Sparenberg Note on the glide of a bird with wings
bent downwards . . . . . . . . . . . . . 464--473
Carla M. A. Pinto and
Martin Golubitsky Central pattern generators for bipedal
locomotion . . . . . . . . . . . . . . . 474--489
J. G. Sumner and
P. D. Jarvis Entanglement invariants and phylogenetic
branching . . . . . . . . . . . . . . . 490--490
Thomas Hillen and
Frithjof Lutscher and
Johannes Müller Preface . . . . . . . . . . . . . . . . 491--495
Simon Levin On Karl Hadeler becoming 70 . . . . . . 496--498
Caroline Colijn and
A. C. Fowler and
Michael C. Mackey High frequency spikes in long period
blood cell oscillations . . . . . . . . 499--519
J. M. Cushing A juvenile-adult model with periodic
vital rates . . . . . . . . . . . . . . 520--539
Lourdes Esteva and
Gerardo Rivas and
Hyun Mo Yang Modelling parasitism and predation of
mosquitoes by water mites . . . . . . . 540--555
Julia Heßeler and
Julia K. Schmidt and
Udo Reichl and
Dietrich Flockerzi Coexistence in the chemostat as a result
of metabolic by-products . . . . . . . . 556--584
Thomas Hillen $ M^5 $ mesoscopic and macroscopic
models for mesenchymal motion . . . . . 585--616
Masato Iida and
Masayasu Mimura and
Hirokazu Ninomiya Diffusion, Cross-diffusion and
Competitive Interaction . . . . . . . . 617--641
Maia Martcheva and
Horst R. Thieme and
Thanate Dhirasakdanon Kolmogorov's Differential Equations and
Positive Semigroups on First Moment
Sequence Spaces . . . . . . . . . . . . 642--671
Johannes Müller and
Christina Kuttler and
Burkard A. Hense and
Michael Rothballer and
Anton Hartmann Cell-cell communication by quorum
sensing and dimension-reduction . . . . 672--702
Muntaser Safan and
Hans Heesterbeek and
Klaus Dietz The minimum effort required to eradicate
infections in models with backward
bifurcation . . . . . . . . . . . . . . 703--718
E. Shim and
Z. Feng and
M. Martcheva and
C. Castillo-Chavez An age-structured epidemic model of
rotavirus with vaccination . . . . . . . 719--746
H. L. Smith The Discrete Dynamics of Monotonically
Decomposable Maps . . . . . . . . . . . ??
Ryszard Rudnicki and
Jerzy Tiuryn and
Damian Wójtowicz A model for the evolution of paralog
families in genomes . . . . . . . . . . 759--770
Umberto Picchini and
Susanne Ditlevsen and
Andrea De Gaetano Modeling the euglycemic hyperinsulinemic
clamp by stochastic differential
equations . . . . . . . . . . . . . . . 771--796
John G. Alford and
Giles Auchmuty Rotating wave solutions of the
FitzHugh--Nagumo equations . . . . . . . 797--819
Carsten Wiuf Consistency of estimators of population
scaled parameters using composite
likelihood . . . . . . . . . . . . . . . 821--841
T. McMillen and
P. Holmes An elastic rod model for anguilliform
swimming . . . . . . . . . . . . . . . . 843--886
Andreas Deutsch ESMTB-European Society for Mathematical
and Theoretical Biology . . . . . . . . 887--888
N. B. Grover Diffusion with attrition . . . . . . . . 889--903
Stefan Müller and
Josef Hofbauer and
Lukas Endler and
Christoph Flamm and
Stefanie Widder and
Peter Schuster A generalized model of the repressilator 905--937
Luigi Preziosi Hybrid and multiscale modelling . . . . 977--978
B. P. Wood and
J. R. Miller Linked selected and neutral loci in
heterogeneous environments . . . . . . . ??
Tobias Jahnke and
Wilhelm Huisinga Solving the chemical master equation for
monomolecular reaction systems
analytically . . . . . . . . . . . . . . 1--26
Baojun Song and
Diana M. Thomas Dynamics of starvation in humans . . . . 27--43
M. Pietruszka and
S. Lewicka Anisotropic plant growth due to
phototropism . . . . . . . . . . . . . . 45--55
Tatyana Luzyanina and
Sonja Mrusek and
John T. Edwards and
Dirk Roose and
Stephan Ehl and
Gennady Bocharov Computational analysis of CFSE
proliferation assay . . . . . . . . . . 57--89
S. Lewicka and
M. Pietruszka Anisotropic plant cell elongation due to
ortho-gravitropism . . . . . . . . . . . 91--100
Hans V. Westerhoff Mathematical and theoretical biology for
systems biology, and then \ldots vice
versa . . . . . . . . . . . . . . . . . 147--150
Hisashi Inaba Age-structured homogeneous epidemic
systems with application to the MSEIR
epidemic model . . . . . . . . . . . . . ??
M. Broom and
J. Rychtár The Evolution of a Kleptoparasitic
System under Adaptive Dynamics . . . . . 151--177
Dagmar Iber and
Giorgio Gaglia The mechanism of sudden stripe formation
during dorso-ventral patterning in
\bionameDrosophila . . . . . . . . . . . 179--198
L. Sun and
M. Wang An algorithm for a decomposition of
weighted digraphs: with applications to
life cycle analysis in ecology . . . . . 199--226
Stephen P. Ellner and
Mark Rees Stochastic stable population growth in
integral projection models: theory and
application . . . . . . . . . . . . . . 227--256
Ellen Baake and
Hans-Otto Georgii Mutation, selection, and ancestry in
branching models: a variational approach 257--303
S. Coombes Mathematical neuroscience . . . . . . . 305--307
Stephen A. Gourley and
Rongsong Liu and
Jianhong Wu Eradicating vector-borne diseases via
age-structured culling . . . . . . . . . 309--335
David E. Hiebeler Competing populations on fragmented
landscapes with spatially structured
heterogeneities: improved landscape
generation and mixed dispersal
strategies . . . . . . . . . . . . . . . 337--356
Malcolm R. Adams and
Andrew T. Sornborger Analysis of a certain class of
replicator equations . . . . . . . . . . 357--384
O. Krakovska and
L. M. Wahl Costs versus benefits: best possible and
best practical treatment regimens for
HIV . . . . . . . . . . . . . . . . . . 385--406
Sorana Froda and
Sévérien Nkurunziza Prediction of predator--prey populations
modelled by perturbed ODEs . . . . . . . 407--451
Peter Giesl and
Heiko Wagner Lyapunov function and the basin of
attraction for a single-joint
muscle-skeletal model . . . . . . . . . 453--464
Vlastimil Krivan and
Ivo Vrkoc A Lyapunov function for
piecewise-independent differential
equations: stability of the ideal free
distribution in two patch environments 465--488
\`Angel Calsina and
Sílvia Cuadrado Asymptotic stability of equilibria of
selection--mutation equations . . . . . 489--511
Je-Chiang Tsai and
James Sneyd Are buffers boring? Uniqueness and
asymptotical stability of traveling wave
fronts in the buffered bistable system 513--553
Giuseppe Buffoni and
Sara Pasquali Structured population dynamics:
continuous size and discontinuous stage
structures . . . . . . . . . . . . . . . 555--595
R. E. Baker and
P. K. Maini A mechanism for morphogen-controlled
domain growth . . . . . . . . . . . . . 597--622
Giuseppe Buffoni and
Maria Paola Cassinari and
Maria Groppi Modelling of predator--prey trophic
interactions. Part II: Three trophic
levels . . . . . . . . . . . . . . . . . 623--644
Victor M. Panaretos Partially observed branching processes
for stochastic epidemics . . . . . . . . 645--668
Z. Mukandavire and
W. Garira Sex-structured HIV/AIDS model to analyse
the effects of condom use with
application to Zimbabwe . . . . . . . . 669--699
Dimitri Breda and
Caterina Cusulin and
Mimmo Iannelli and
Stefano Maset and
Rossana Vermiglio Stability analysis of age-structured
population equations by pseudospectral
differencing methods . . . . . . . . . . 701--720
Sabin Lessard and
Véronique Ladret The probability of fixation of a single
mutant in an exchangeable selection
model . . . . . . . . . . . . . . . . . 721--744
C. Varea and
D. Hernández and
R. A. Barrio Soliton behaviour in a bistable reaction
diffusion model . . . . . . . . . . . . 797--813
Gunter Neumann and
Stefan Schuster Continuous model for the
rock--scissors--paper game between
bacteriocin producing bacteria . . . . . 815--846
Radek Erban and
Hans G. Othmer Taxis equations for amoeboid cells . . . 847--885
Miguel A. Herrero On the role of mathematics in biology 887--889
Thomas Nagylaki and
Yuan Lou Evolution at a multiallelic locus under
migration and uniform selection . . . . ??
Guanyu Wang Estimation of the proliferation and
maturation functions in a
physiologically structured model of
thymocyte development . . . . . . . . . ??
H. Yamada and
T. Nakagaki and
R. E. Baker and
P. K. Maini Dispersion relation in oscillatory
reaction--diffusion systems with
self-consistent flow in true slime mold ??
Leah B. Shaw and
Lora Billings and
Ira B. Schwartz Using dimension reduction to improve
outbreak predictability of multistrain
diseases . . . . . . . . . . . . . . . . 1--19
J. Maquet and
C. Letellier and
Luis A. Aguirre Global models from the Canadian lynx
cycles as a direct evidence for chaos in
real ecosystems . . . . . . . . . . . . 21--39
J. T. Locsei Persistence of direction increases the
drift velocity of run and tumble
chemotaxis . . . . . . . . . . . . . . . 41--60
Maya Mincheva and
Marc R. Roussel Graph-theoretic methods for the analysis
of chemical and biochemical networks. I.
Multistability and oscillations in
ordinary differential equation models 61--86
Maya Mincheva and
Marc R. Roussel Graph-theoretic methods for the analysis
of chemical and biochemical networks.
II. Oscillations in networks with delays 87--104
Andrew L. Nevai and
Richard R. Vance Plant interspecies competition for
sunlight: a mathematical model of canopy
partitioning . . . . . . . . . . . . . . 105--145
Lionel Roques and
Radu S. Stoica Species persistence decreases with
habitat fragmentation: an analysis in
periodic stochastic environments . . . . 189--205
Hans F. Weinberger and
Mark A. Lewis and
Bingtuan Li Anomalous spreading speeds of
cooperative recursion systems . . . . . 207--222
Richard J. Boys and
Philip R. Giles Bayesian inference for stochastic
epidemic models with time-inhomogeneous
removal rates . . . . . . . . . . . . . 223--247
Martin J. Gander and
Christian Mazza and
Hansklaus Rummler Stochastic gene expression in switching
environments . . . . . . . . . . . . . . 249--269
R. Edwards and
P. van den Driessche and
Lin Wang Periodicity in piecewise-linear
switching networks with delay . . . . . 271--298
Nicolas Champagnat and
Sylvie Méléard Invasion and adaptive evolution for
individual-based spatially structured
populations . . . . . . . . . . . . . . ??
Katherine A. Bold and
Yu Zou and
Ioannis G. Kevrekidis and
Michael A. Henson An equation-free approach to analyzing
heterogeneous cell population dynamics 331--352
Christelle Melodelima and
Christian Gautier and
Didier Piau A Markovian approach for the prediction
of mouse isochores . . . . . . . . . . . 353--364
Ian G. Pearce and
Mark A. J. Chaplain and
Piet\`a G. Schofield and
Alexander R. A. Anderson and
Stephen F. Hubbard Chemotaxis-induced spatio-temporal
heterogeneity in multi-species
host-parasitoid systems . . . . . . . . 365--388
Stephen L. Keeling and
Roland Bammer and
Rudolf Stollberger Revision of the theory of tracer
transport and the convolution model of
dynamic contrast enhanced magnetic
resonance imaging . . . . . . . . . . . 389--411
G. C. P. Innocentini and
J. E. M. Hornos Modeling stochastic gene expression
under repression . . . . . . . . . . . . 413--431
John W. Cain Criterion for stable reentry in a ring
of cardiac tissue . . . . . . . . . . . 433--448
P. Pfaffelhuber and
A. Studeny Approximating genealogies for partially
linked neutral loci under a selective
sweep . . . . . . . . . . . . . . . . . ??
G. Lemon and
J. R. King Travelling-wave behaviour in a
multiphase model of a population of
cells in an artificial scaffold . . . . 449--480
Bingtuan Li and
Hal L. Smith Global dynamics of microbial competition
for two resources with internal storage 481--515
David A. Edwards Steric hindrance effects on surface
reactions: applications to BIAcore . . . 517--539
Laura E. Jones and
Stephen P. Ellner Effects of rapid prey evolution on
predator--prey cycles . . . . . . . . . 541--573
Abbey J. Trewenack and
Kerry A. Landman and
Ben D. Bell Dispersal and settling of translocated
populations: a general study and a New
Zealand amphibian case study . . . . . . 575--604
Ryusuke Kon and
Yoh Iwasa Single-class orbits in nonlinear Leslie
matrix models for semelparous
populations . . . . . . . . . . . . . . 781--802
José A. Villacorta and
Jorge Castro and
Pilar Negredo and
Carlos Avendaño Mathematical foundations of the
dendritic growth models . . . . . . . . 817--859
Jay H. Beder and
Richard Gomulkiewicz Optimizing selection for function-valued
traits . . . . . . . . . . . . . . . . . ??
Erik Boczko and
Tomás Gedeon and
Konstantin Mischaikow Dynamics of a simple regulatory switch ??
Anthony E. English and
Conrad P. Plaut and
Alan B. Moy A Riemannian manifold analysis of
endothelial cell monolayer impedance
parameter precision . . . . . . . . . . ??
Donald A. French and
David A. Edwards Perturbation approximation of solutions
of a nonlinear inverse problem arising
in olfaction experimentation . . . . . . ??
Per Arne Rikvold Self-optimization, community stability,
and fluctuations in two individual-based
models of biological coevolution . . . . ??
M. G. Roberts and
J. A. P. Heesterbeek Model-consistent estimation of the basic
reproduction number from the incidence
of an emerging infection . . . . . . . . ??
Kieran Smallbone and
David J. Gavaghan and
Philip K. Maini and
J. Michael Brady Quiescence as a mechanism for cyclical
hypoxia and acidosis . . . . . . . . . . ??
Je-Chiang Tsai and
James Sneyd Traveling waves in the discrete fast
buffered bistable system . . . . . . . . ??
Anonymous JMB Special Issues on Computational
Biology . . . . . . . . . . . . . . . . 1--1
Peter Clote Introduction to special issue on RNA . . 3--13
Ariane Machado-Lima and
Hernando A. del Portillo and
Alan Mitchell Durham Computational methods in noncoding RNA
research . . . . . . . . . . . . . . . . 15--49
Manuel E. Lladser and
M. D. Betterton and
Rob Knight Multiple pattern matching: a Markov
chain approach . . . . . . . . . . . . . 51--92
Chi Yu Chan and
Ye Ding Boltzmann ensemble features of RNA
secondary structures: a comparative
analysis of biological RNA sequences and
random shuffles . . . . . . . . . . . . 93--105
Yann Ponty Efficient sampling of RNA secondary
structures from the Boltzmann ensemble
of low-energy . . . . . . . . . . . . . 107--127
Athanasius F. Bompfünewerer and
Rolf Backofen and
Stephan H. Bernhart and
Jana Hertel and
Ivo L. Hofacker and
Peter F. Stadler and
Sebastian Will Variations on RNA folding and alignment:
lessons from Benasque . . . . . . . . . 129--144
Jizhen Zhao and
Russell L. Malmberg and
Liming Cai Rapid ab initio prediction of RNA
pseudoknots via graph tree decomposition 145--159
Dirk Metzler and
Markus E. Nebel Predicting RNA secondary structures with
pseudoknots by MCMC sampling . . . . . . 161--181
Brian Tjaden Prediction of small, noncoding RNAs in
bacteria using heterogeneous data . . . 183--200
Kengo Sato and
Kensuke Morita and
Yasubumi Sakakibara PSSMTS: position specific scoring
matrices on tree structures . . . . . . 201--214
Michael Sarver and
Craig L. Zirbel and
Jesse Stombaugh and
Ali Mokdad and
Neocles B. Leontis FR3D: finding local and composite
recurrent structural motifs in RNA $3$D
structures . . . . . . . . . . . . . . . 215--252
Xueyi Wang and
Gary Kapral and
Laura Murray and
David Richardson and
Jane Richardson and
Jack Snoeyink RNABC: forward kinematics to reduce
all-atom steric clashes in RNA backbone 253--278
Sven Ole Aase and
Peter Ruoff Semi-algebraic optimization of
temperature compensation in a general
switch-type negative feedback model of
circadian clocks . . . . . . . . . . . . 279--292
Erik Volz SIR dynamics in random networks with
heterogeneous connectivity . . . . . . . 293--310
B. Cessac A discrete time neural network model
with spiking neurons . . . . . . . . . . 311--345
Xiaoqiang Wang and
Qiang Du Modelling and simulations of
multi-component lipid membranes and open
membranes via diffuse interface
approaches . . . . . . . . . . . . . . . 347--371
Jifa Jiang and
Caichun Chai The complete classification for dynamics
in a homosexually-transmitted disease
model . . . . . . . . . . . . . . . . . 373--390
Vladimir N. Minin and
Marc A. Suchard Counting labeled transitions in
continuous-time Markov models of
evolution . . . . . . . . . . . . . . . 391--412
Christina T. L. Chen and
Quo-Shin Chi and
Stanley A. Sawyer Effects of dominance on the probability
of fixation of a mutant allele . . . . . 413--434
R. Thul and
G. D. Smith and
S. Coombes A bidomain threshold model of
propagating calcium waves . . . . . . . 435--463
Stefan Grünewald and
Katharina T. Huber and
Vincent Moulton and
Charles Semple Encoding phylogenetic trees in terms of
weighted quartets . . . . . . . . . . . 465--477
Claus-Jochen Haake and
Akemi Kashiwada and
Francis Edward Su The Shapley value of phylogenetic trees 479--497
Frithjof Lutscher Density-dependent dispersal in
integrodifference equations . . . . . . 499--524
David Aldous and
Maxim Krikun and
Lea Popovic Stochastic models for phylogenetic trees
on higher-order taxa . . . . . . . . . . 525--557
Andrzej Bielecki and
Piotr Kalita Model of neurotransmitter fast transport
in axon terminal of presynaptic neuron 559--576
Maia Martcheva and
Horst R. Thieme and
Thanate Dhirasakdanon Kolmogorov's differential equations and
positive semigroups on first moment
sequence spaces . . . . . . . . . . . . 577--578
Anita Kettemann and
Maria Neuss-Radu Derivation and analysis of a system
modeling the chemotactic movement of
hematopoietic stem cells . . . . . . . . 579--610
Chu-Chih Chen and
Meng-Chiuan Shih and
Kuen-Yuh Wu and
Pranab K. Sen Exterior exposure estimation using a
one-compartment toxicokinetic model with
blood sample measurements . . . . . . . 611--633
Barbara Boldin and
Odo Diekmann Superinfections can induce
evolutionarily stable coexistence of
pathogens . . . . . . . . . . . . . . . 635--672
Michel Durinx and
J. A. J. (Hans) Metz and
Géza Meszéna Adaptive dynamics for physiologically
structured population models . . . . . . 673--742
Patricia Stone and
Hilde Wilkinson-Herbots and
Valerie Isham A stochastic model for head lice
infections . . . . . . . . . . . . . . . 743--763
P. Collet and
S. Martínez Asymptotic velocity of one dimensional
diffusions with periodic drift . . . . . 765--792
Cosmina Hogea and
Christos Davatzikos and
George Biros An image-driven parameter estimation
problem for a reaction--diffusion glioma
growth model with mass effects . . . . . 793--825
Ronen Olinky and
Amit Huppert and
Lewi Stone Seasonal dynamics and thresholds
governing recurrent epidemics . . . . . 827--839
Zhi-Min Chen and
W. G. Price An analysis of the coexistence of two
host species with a shared pathogen . . 841--859
Vijay G. Subramanian and
Ken R. Duffy and
Marian L. Turner and
Philip D. Hodgkin Determining the expected variability of
immune responses using the cyton model 861--892
B. S. Brook and
S. L. Waters Mathematical challenges in integrative
physiology . . . . . . . . . . . . . . . 893--896
Andrea Franceschetti and
Andrea Pugliese Threshold behaviour of a SIR epidemic
model with age structure and immigration 1--27
Liming Wang and
Eduardo D. Sontag On the number of steady states in a
multiple futile cycle . . . . . . . . . 29--52
Juncheng Wei and
Matthias Winter Stationary multiple spots for
reaction--diffusion systems . . . . . . 53--89
Fadia Bekkal Brikci and
Jean Clairambault and
Benjamin Ribba and
Beno\^\it Perthame An age-and-cyclin-structured cell
population model for healthy and tumoral
tissues . . . . . . . . . . . . . . . . 91--110
Aleksandra Dudkowska and
Danuta Makowiec Seidel-Herzel model of human baroreflex
in cardiorespiratory system with
stochastic delays . . . . . . . . . . . 111--137
Alex H. Barnett and
Paul R. Moorcroft Analytic steady-state space use patterns
and rapid computations in mechanistic
home range analysis . . . . . . . . . . 139--159
Christina Mouser and
Farzan Nadim and
Amitabha Bose Maintaining phase of the crustacean
tri-phasic pyloric rhythm . . . . . . . 161--181
Y. Futakata and
T. Iwasaki Formal analysis of resonance entrainment
by central pattern generator . . . . . . 183--207
Michael J. Adams Graph decompositions for demographic
loop analysis . . . . . . . . . . . . . 209--221
Shigui Ruan and
Yilei Tang and
Weinian Zhang Computing the heteroclinic bifurcation
curves in predator--prey systems with
ratio-dependent functional response . . 223--241
Jeremy Van Cleve and
Marcus W. Feldman Stable long-period cycling and complex
dynamics in a single-locus fertility
model with genomic imprinting . . . . . 243--264
Elizabeth D. Copene and
James P. Keener Ephaptic coupling of cardiac cells
through the junctional electric
potential . . . . . . . . . . . . . . . 265--284
Mats Gyllenberg and
Éva Kisdi and
Margarete Utz Evolution of condition-dependent
dispersal under kin competition . . . . 285--307
H. L. Smith The discrete dynamics of monotonically
decomposable maps . . . . . . . . . . . 309--310
Kieran J. Sharkey Deterministic epidemiological models at
the individual level . . . . . . . . . . 311--331
Frédéric Frank Weller Platelet deposition in non-parallel flow 333--359
Xinfu Chen and
Richard Hambrock and
Yuan Lou Evolution of conditional dispersal: a
reaction--diffusion--advection model . . 361--386
Hans F. Weinberger and
Kohkichi Kawasaki and
Nanako Shigesada Spreading speeds of spatially periodic
integro-difference models for
populations with nonmonotone recruitment
functions . . . . . . . . . . . . . . . 387--411
Elena Braverman and
Reneeta Mamdani Continuous versus pulse harvesting for
population models in constant and
variable environment . . . . . . . . . . 413--434
Matthias Birkner and
Jochen Blath Computing likelihoods for coalescents
with multiple collisions in the
infinitely many sites model . . . . . . 435--465
Maciej Z. Pindera and
Hui Ding and
Zhijian Chen Convected element method for simulation
of angiogenesis . . . . . . . . . . . . 467--495
Fang Dong and
William F. Langford Models of Cheyne--Stokes respiration
with cardiovascular pathologies . . . . 497--519
Joshua Ladau and
Steven J. Schwager Robust hypothesis tests for independence
in community assembly . . . . . . . . . 537--555
W. Artiles and
P. G. S. Carvalho and
R. A. Kraenkel Patch-size and isolation effects in the
Fisher--Kolmogorov equation . . . . . . ??
Nicolas Bacaër and
Rachid Ouifki and
Carel Pretorius and
Robin Wood and
Brian Williams Modeling the joint epidemics of TB and
HIV in a South African township . . . . ??
L. Neil Frazer Sea-lice infection models for fishes . . ??
Robert Schlicht and
Gerhard Winkler A delay stochastic process with
applications in molecular biology . . . 613--648
Paul Ryan and
Rabia Djellouli and
Randy Cohen Modeling capsule tissue growth around
disk-shaped implants: a numerical and in
vivo study . . . . . . . . . . . . . . . 675--695
K. P. Hadeler and
H. R. Thieme Monotone dependence of the spectral
bound on the transition rates in linear
compartment models . . . . . . . . . . . 697--712
Tanja Gernhard and
Klaas Hartmann and
Mike Steel Stochastic properties of generalised
Yule models, with biodiversity
applications . . . . . . . . . . . . . . 713--735
Nicolas Bacaër and
Xamxinur Abdurahman Resonance of the epidemic threshold in a
periodic environment . . . . . . . . . . ??
Angela Gallegos and
Tenecia Plummer and
David Uminsky and
Cinthia Vega and
Clare Wickman and
Michael Zawoiski A mathematical model of a crocodilian
population using delay-differential
equations . . . . . . . . . . . . . . . ??
John E. Franke and
Abdul-Aziz Yakubu Disease-induced mortality in
density-dependent discrete-time S-I-S
epidemic models . . . . . . . . . . . . 755--790
Rachel Bennett and
Roger G. Bowers A baseline model for the co-evolution of
hosts and pathogens . . . . . . . . . . 791--809
Natali Zint and
Ellen Baake and
Frank den Hollander How T-cells use large deviations to
recognize foreign antigens . . . . . . . 841--861
Josef Hofbauer and
Ryusuke Kon and
Yasuhisa Saito Qualitative permanence of
Lotka--Volterra equations . . . . . . . 863--881
John M. Marshall A branching process for the early spread
of a transposable element in a diploid
population . . . . . . . . . . . . . . . ??
William F. Pickard Modelling the swelling assay for
aquaporin expression . . . . . . . . . . ??
Vincenzo Capasso and
Daniela Morale Stochastic modelling of tumour-induced
angiogenesis . . . . . . . . . . . . . . 219--233
Catherine Foley and
Michael C. Mackey Dynamic hematological disease: a review 285--322
Wolfgang Alt and
Andreas Deutsch and
Luigi Preziosi Computational Cell Biology: Second Theme
Issue on ``Computational Biology'' . . . ??
D. Ambrosi and
A. Duperray and
V. Peschetola and
C. Verdier Traction patterns of tumor cells . . . . ??
Richard B. Dickinson Models for actin polymerization motors ??
J. Galle and
M. Hoffmann and
G. Aust From single cells to tissue architecture
--- a bottom-up approach to modelling
the spatio-temporal organisation of
complex multi-cellular systems . . . . . ??
T. Hillen and
K. J. Painter A user's guide to PDE models for
chemotaxis . . . . . . . . . . . . . . . ??
Yannis Kalaidzidis Multiple objects tracking in
fluorescence microscopy . . . . . . . . ??
Esa Kuusela and
Wolfgang Alt Continuum model of cell adhesion and
migration . . . . . . . . . . . . . . . ??
Alex Mogilner Mathematics of cell motility: have we
got its number? . . . . . . . . . . . . ??
Jörg Stelling and
Boris N. Kholodenko Signaling cascades as cellular devices
for spatial computations . . . . . . . . ??
Claude Verdier and
Cécile Couzon and
Alain Duperray and
Pushpendra Singh Modeling cell interactions under flow ??
Hans V. Westerhoff and
Alexey Kolodkin and
Riaan Conradie and
Stephen J. Wilkinson and
Frank J. Bruggeman and
Klaas Krab and
Jan H. van Schuppen and
Hanna Hardin and
Barbara M. Bakker and
Martijn J. Moné and
Katja N. Rybakova and
Marco Eijken and
Hans J. P. van Leeuwen and
Jacky L. Snoep Systems biology towards life in silico:
mathematics of the control of living
cells . . . . . . . . . . . . . . . . . ??
Bingtuan Li and
Mark A. Lewis and
Hans F. Weinberger Existence of traveling waves for
integral recursions with nonmonotone
growth functions . . . . . . . . . . . . 323--338
L. J. S. Allen and
Y. Lou and
A. L. Nevai Spatial patterns in a discrete-time SIS
patch model . . . . . . . . . . . . . . 339--375
S. A. L. M. Kooijman What the egg can tell about its hen:
Embryonic development on the basis of
dynamic energy budgets . . . . . . . . . 377--394
Jacques Gautrais and
Christian Jost and
Marc Soria and
Alexandre Campo and
Sébastien Motsch and
Richard Fournier and
Stéphane Blanco and
Guy Theraulaz Analyzing fish movement as a persistent
turning walker . . . . . . . . . . . . . 429--445
James P. Keener Invariant manifold reductions for
Markovian ion channel dynamics . . . . . 447--457
Masataka Kuwamura and
Takefumi Nakazawa and
Toshiyuki Ogawa A minimum model of prey-predator system
with dormancy of predators and the
paradox of enrichment . . . . . . . . . 459--479
K. Anguige and
C. Schmeiser A one-dimensional model of cell
diffusion and aggregation, incorporating
volume filling and cell-to-cell adhesion ??
Le Zhang and
Zhihui Wang and
Jonathan A. Sagotsky and
Thomas S. Deisboeck Multiscale agent-based cancer modeling 545--559
Paul Macklin and
Steven McDougall and
Alexander R. A. Anderson and
Mark A. J. Chaplain and
Vittorio Cristini and
John Lowengrub Multiscale modelling and nonlinear
simulation of vascular tumour growth . . 765--798
Alexander R. A. Anderson and
Katarzyna A. Rejniak and
Philip Gerlee and
Vito Quaranta Microenvironment driven invasion: a
multiscale multimodel investigation . . ??
Helen Byrne and
Dirk Drasdo Individual-based and continuum models of
growing cell populations: a comparison ??
Mark Chaplain Preface . . . . . . . . . . . . . . . . ??
Vittorio Cristini and
Xiangrong Li and
John S. Lowengrub and
Steven M. Wise Nonlinear simulations of solid tumor
growth using a mixture model: invasion
and branching . . . . . . . . . . . . . ??
S. F. C. O'Rourke and
H. McAneney and
T. Hillen Linear quadratic and tumour control
probability modelling in external beam
radiotherapy . . . . . . . . . . . . . . ??
Markus R. Owen and
Tomás Alarcón and
Philip K. Maini and
Helen M. Byrne Angiogenesis and vascular remodelling in
normal and cancerous tissues . . . . . . ??
K. J. Painter Modelling cell migration strategies in
the extracellular matrix . . . . . . . . ??
Luigi Preziosi and
Andrea Tosin Multiphase modelling of tumour growth
and extracellular matrix interaction:
mathematical tools and applications . . ??
R. Rockne and
E. C. Alvord, Jr. and
J. K. Rockhill and
K. R. Swanson A mathematical model for brain tumor
response to radiation therapy . . . . . ??
John P. Sinek and
Sandeep Sanga and
Xiaoming Zheng and
Hermann B. Frieboes and
Mauro Ferrari and
Vittorio Cristini Predicting drug pharmacokinetics and
effect in vascularized tumors using
computer simulation . . . . . . . . . . ??
Zuzanna Szyma\'nska and
Jakub Urba\'nski and
Anna Marciniak-Czochra Mathematical modelling of the influence
of heat shock proteins on cancer
invasion of tissue . . . . . . . . . . . ??
T. Pearson and
J. A. D. Wattis and
B. O'Malley and
L. Pickersgill and
H. Blackburn and
K. G. Jackson and
H. M. Byrne Mathematical modelling of competitive
LDL/VLDL binding and uptake by
hepatocytes . . . . . . . . . . . . . . 845--880
Konstantin B. Blyuss and
Sunetra Gupta Stability and bifurcations in a model of
antigenic variation in malaria . . . . . ??
Reinhard Bürger Multilocus selection in subdivided
populations II. Maintenance of
polymorphism under weak or strong
migration . . . . . . . . . . . . . . . ??
Reinhard Bürger Multilocus selection in subdivided
populations I. Convergence properties
for weak or strong migration . . . . . . ??
Sylvie Méléard and
Viet Chi Tran Trait Substitution Sequence process and
Canonical Equation for age-structured
populations . . . . . . . . . . . . . . ??
R. Eftimie and
G. de Vries and
M. A. Lewis Weakly nonlinear analysis of a
hyperbolic model for animal group
formation . . . . . . . . . . . . . . . 37--74
Theodore Kolokolnikov and
Chunhua Ou and
Yuan Yuan Phytoplankton depth profiles and their
transitions near the critical sinking
velocity . . . . . . . . . . . . . . . . 105--122
Vincenzo Capasso Multiple scales and geometric
structures: additional sources of
randomness . . . . . . . . . . . . . . . 143--146
J. M. Cushing Three stage semelparous Leslie models ??
Siddhartha Gadgil Watson--Crick pairing, the Heisenberg
group and Milnor invariants . . . . . . ??
David Greenhalgh and
Martin Griffiths Backward bifurcation, equilibrium and
stability phenomena in a three-stage
extended BRSV epidemic model . . . . . . ??
Bernold Fiedler and
Sze-Bi Hsu Non-periodicity in chemostat equations:
a multi-dimensional negative
Bendixson--Dulac criterion . . . . . . . 233--253
Ken R. Duffy and
Vijay G. Subramanian On the impact of correlation between
collaterally consanguineous cells on
lymphocyte population dynamics . . . . . 255--285
P. W. Bates and
Zhan Chen and
Yuhui Sun and
Guo-Wei Wei and
Shan Zhao Geometric and potential driving
formation and evolution of biomolecular
surfaces . . . . . . . . . . . . . . . . ??
Duane Q. Nykamp A stimulus-dependent connectivity
analysis of neuronal networks . . . . . ??
Xiaoping Xiong and
James M. Boyett and
Robert G. Webster and
Juergen Stech A stochastic model for estimation of
mutation rates in multiple-replication
proliferation processes . . . . . . . . ??
T. Keef and
R. Twarock Affine extensions of the icosahedral
group with applications to the
three-dimensional organisation of simple
viruses . . . . . . . . . . . . . . . . 287--313
Madalena Chaves and
Anirvan Sengupta and
Eduardo D. Sontag Geometry and topology of parameter
space: investigating measures of
robustness in regulatory networks . . . 315--358
Junmei Zhu and
Christoph von der Malsburg Steps toward numerical mode analysis of
organizing systems . . . . . . . . . . . 359--376
Bard Ermentrout and
Stuart Hastings Steady-state analysis of a continuum
model for super-infection . . . . . . . 415--438
Philipp Reiter and
Dieter Felix and
Heiko von der Mosel and
Wolfgang Alt Energetics and dynamics of global
integrals modeling interaction between
stiff filaments . . . . . . . . . . . . ??
Emmanuel Frénod and
Olivier Sire An explanatory model to validate the way
water activity rules periodic terrace
generation in \bionameProteus mirabilis
swarm . . . . . . . . . . . . . . . . . 439--466
Mirela Domijan and
Markus Kirkilionis Bistability and oscillations in chemical
reaction networks . . . . . . . . . . . 467--501
Tomás de-Camino-Beck and
Mark A. Lewis and
P. van den Driessche A graph-theoretic method for the basic
reproduction number in continuous time
epidemiological models . . . . . . . . . 503--516
David J. Gerberry and
Fabio A. Milner An SEIQR model for childhood diseases 535--561
Patrick De Leenheer and
N. G. Cogan Failure of antibiotic treatment in
microbial populations . . . . . . . . . 563--579
Nadia Lalam A quantitative approach for polymerase
chain reactions based on a hidden Markov
model . . . . . . . . . . . . . . . . . ??
E. Javierre and
F. J. Vermolen and
C. Vuik and
S. van der Zwaag A mathematical analysis of physiological
and morphological aspects of wound
closure . . . . . . . . . . . . . . . . 605--630
Mark Broom and
Jan Rychtár A game theoretical model of
kleptoparasitism with incomplete
information . . . . . . . . . . . . . . 631--649
Dalkhat M. Ediev On the definition of the reproductive
value: response to the discussion by
Bacaër and Abdurahman . . . . . . . . . . 651--657
Sabin Lessard Diffusion approximations for one-locus
multi-allele kin selection, mutation and
random drift in group-structured
populations: a unifying approach to
selection models in population genetics 659--696
Robert J. Smith and
B. D. Aggarwala Can the viral reservoir of latently
infected CD4$^+$ T cells be eradicated
with antiretroviral HIV drugs? . . . . . 697--715
Patricia Geli Modeling the mechanism of postantibiotic
effect and determining implications for
dosing regimens . . . . . . . . . . . . ??
Tatyana Luzyanina and
Dirk Roose and
Gennady Bocharov Distributed parameter identification for
a label-structured cell population
dynamics model using CFSE histogram
time-series data . . . . . . . . . . . . ??
Andreas A. Linninger and
Michalis Xenos and
Brian Sweetman and
Sukruti Ponkshe and
Xiaodong Guo and
Richard Penn A mathematical model of blood,
cerebrospinal fluid and brain dynamics 729--759
L. R. Band and
L. J. Cummings and
S. L. Waters and
J. A. D. Wattis Modelling crystal aggregation and
deposition in the catheterised lower
urinary tract . . . . . . . . . . . . . 809--840
Michael L. Taylor and
Thomas W. Carr An SIR epidemic model with partial
temporary immunity modeled with delay 841--880
T. A. M. Langlands and
B. I. Henry and
S. L. Wearne Fractional cable equation models for
anomalous electrodiffusion in nerve
cells: infinite domain solutions . . . . ??
Howard A. Levine and
Maria P. McGee and
Susana Serna Diffusion and reaction in the cell
glycocalyx and the extracellular matrix 1--26
Moxun Tang The mean frequency of transcriptional
bursting and its variation in single
cells . . . . . . . . . . . . . . . . . 27--58
Karel Hasík On a predator--prey system of Gause type 59--74
C. Pozrikidis Numerical simulation of blood and
interstitial flow through a solid tumor 75--94
Liang Liu and
Lili Yu and
Dennis K. Pearl Maximum tree: a consistent estimator of
the species tree . . . . . . . . . . . . 95--106
Georgiy P. Karev On mathematical theory of selection:
continuous time population dynamics . . 107--129
Gary R. Mirams and
Helen M. Byrne and
John R. King A multiple timescale analysis of a
mathematical model of the Wnt/$ \beta
$-catenin signalling pathway . . . . . . 131--160
Morten Gram Pedersen and
Alberto Maria Bersani Introducing total substrates simplifies
theoretical analysis at non-negligible
enzyme concentrations: pseudo
first-order kinetics and the loss of
zero-order ultrasensitivity . . . . . . 267--283
\`Angel Calsina and
Jordi Ripoll Evolution of age-dependent sex-reversal
under adaptive dynamics . . . . . . . . ??
Chao-Yi Dong and
Tae-Woong Yoon and
Declan G. Bates and
Kwang-Hyun Cho Identification of feedback loops
embedded in cellular circuits by
investigating non-causal impulse
response components . . . . . . . . . . ??
Frédéric Mynard and
Gavin J. Seal Phenotype spaces . . . . . . . . . . . . ??
Joseph C. Watkins Convergence time to the Ewens sampling
formula in the infinite alleles Moran
model . . . . . . . . . . . . . . . . . ??
Stefan Zeiser and
Uwe Franz and
Volkmar Liebscher Autocatalytic genetic networks modeled
by piecewise-deterministic Markov
processes . . . . . . . . . . . . . . . ??
Geertje Hek Geometric singular perturbation theory
in biological practice . . . . . . . . . 347--386
Eric Durand and
Olivier François Probabilistic analysis of a genealogical
model of animal group patterns . . . . . ??
Amaury Lambert Population genetics, ecology and the
size of populations . . . . . . . . . . ??
Chang Hyeong Lee and
Hans G. Othmer A multi-time-scale analysis of chemical
reaction networks: I. Deterministic
systems . . . . . . . . . . . . . . . . ??
P. J. Woodroffe and
L. J. Bridge and
J. R. King and
C. Y. Chen and
S. J. Hill Modelling of the activation of G-protein
coupled receptors: drug free
constitutive receptor activity . . . . . ??
James P. Keener Exact reductions of Markovian dynamics
for ion channels with a single
permissive state . . . . . . . . . . . . 473--479
Huilan Chang and
Michael Fuchs Limit theorems for patterns in
phylogenetic trees . . . . . . . . . . . 481--512
Linghong Lu and
Roderick Edwards Structural principles for periodic
orbits in glass networks . . . . . . . . 513--541
Daniel D. Wiegmann and
Kelly L. Weinersmith and
Steven M. Seubert Multi-attribute mate choice decisions
and uncertainty in the decision process:
a generalized sequential search strategy 543--572
Sarah Hews and
Steffen Eikenberry and
John D. Nagy and
Yang Kuang Rich dynamics of a hepatitis B viral
infection model with logistic hepatocyte
growth . . . . . . . . . . . . . . . . . 573--590
P. D. N. Srinivasu and
B. S. R. V. Prasad Time optimal control of an additional
food provided predator--prey system with
applications to pest management and
biological conservation . . . . . . . . 591--613
Michael J. Rempe and
Janet Best and
David Terman A mathematical model of the sleep/wake
cycle . . . . . . . . . . . . . . . . . 615--644
Jing Li and
Xingfu Zou Dynamics of an epidemic model with
non-local infections for diseases with
latency over a patchy environment . . . 645--686
Thomas Andrew McWalter and
Alex Welte Relating recent infection prevalence to
incidence with a sub-population of assay
non-progressors . . . . . . . . . . . . 687--710
Amber M. Smith and
Frederick R. Adler and
Alan S. Perelson An accurate two-phase approximate
solution to an acute viral infection
model . . . . . . . . . . . . . . . . . 711--726
Ute von Wangenheim and
Ellen Baake and
Michael Baake Single-crossover recombination in
discrete time . . . . . . . . . . . . . 727--760
Peter Jagers A plea for stochastic population
dynamics . . . . . . . . . . . . . . . . 761--764
Jan Kelkel and
Christina Surulescu On a stochastic reaction--diffusion
system modeling pattern formation on
seashells . . . . . . . . . . . . . . . 765--796
Patrick Cattiaux and
Sylvie Méléard Competitive or weak cooperative
stochastic Lotka--Volterra systems
conditioned on non-extinction . . . . . 797--829
Giuseppe Buffoni and
Sara Pasquali Individual-based models for stage
structured populations: formulation of
``no regression'' development equations 831--848
Fusheng Tang and
Weijiu Liu An age-dependent feedback control model
of calcium dynamics in yeast cells . . . 849--879
Avner Friedman and
Bei Hu and
Chiu-Yen Kao Cell cycle control at the first
restriction point and its effect on
tissue growth . . . . . . . . . . . . . 881--907
Jiangtao Luo and
William W. Hager and
Rongling Wu A differential equation model for
functional mapping of a virus-cell
dynamic system . . . . . . . . . . . . . 1--15
Sara Jabbari and
John R. King and
Adrian J. Koerber and
Paul Williams Mathematical modelling of the agr operon
in \bionameStaphylococcus aureus . . . . 17--54
Wolfgang P. Angerer Proliferation model dependence in
fluctuation analysis: the neutral case 55--93
Kristan Alexander Schneider Maximization principles for
frequency-dependent selection II: the
one-locus multiallele case . . . . . . . 95--132
Anotida Madzvamuse and
Eamonn A. Gaffney and
Philip K. Maini Stability analysis of non-autonomous
reaction--diffusion systems: the effects
of growing domains . . . . . . . . . . . 133--164
Éva Kisdi and
Stefan A. H. Geritz Adaptive dynamics: a framework to model
evolution in the ecological theatre . . 165--169
Pasquale Palumbo and
Andrea De Gaetano An islet population model of the
endocrine pancreas . . . . . . . . . . . 171--205
Koichiro Uriu and
Yoshihiro Morishita and
Yoh Iwasa Synchronized oscillation of the
segmentation clock gene in vertebrate
development . . . . . . . . . . . . . . 207--229
Michael W. Smiley and
Stephen R. Proulx Gene expression dynamics in randomly
varying environments . . . . . . . . . . 231--251
Gabriel Cardona and
Merc\`e Llabrés and
Francesc Rosselló and
Gabriel Valiente Nodal distances for rooted phylogenetic
trees . . . . . . . . . . . . . . . . . 253--276
Odo Diekmann and
Mats Gyllenberg and
J. A. J. Metz and
Shinji Nakaoka and
Andre M. de Roos Daphnia revisited: local stability and
bifurcation theory for physiologically
structured population models explained
by way of an example . . . . . . . . . . 277--318
P. D. N. Srinivasu and
B. S. R. V. Prasad Erratum to: Time optimal control of an
additional food provided predator--prey
system with applications to pest
management and biological conservation 319--321
Dimitri Vanpeteghem and
Bart Haegeman An analytical approach to
spatio-temporal dynamics of neutral
community models . . . . . . . . . . . . 323--357
Masaru Iizuka Effective population size of a
population with stochastically varying
size . . . . . . . . . . . . . . . . . . 359--375
Sanjeeva Balasuriya and
Georg A. Gottwald Wavespeed in reaction--diffusion
systems, with applications to chemotaxis
and population pressure . . . . . . . . 377--399
Yangjin Kim and
Julie Wallace and
Fu Li and
Michael Ostrowski and
Avner Friedman Transformed epithelial cells and
fibroblasts/myofibroblasts interaction
in breast tumor: a mathematical model
and experiments . . . . . . . . . . . . 401--421
Alexander V. Terekhov and
Yakov B. Pesin and
Xun Niu and
Mark L. Latash and
Vladimir M. Zatsiorsky An analytical approach to the problem of
inverse optimization with additive
objective functions: an application to
human prehension . . . . . . . . . . . . 423--453
Adam Bobrowski and
Tomasz Wojdyla and
Marek Kimmel Asymptotic behavior of a Moran model
with mutations, drift and recombination
among multiple loci . . . . . . . . . . 455--473
Patrick De Leenheer and
Jack Dockery and
Tomás Gedeon and
Sergei S. Pilyugin Senescence and antibiotic resistance in
an age-structured population model . . . 475--499
Michael Small and
Hugh P. C. Robinson and
Ingo C. Kleppe and
Chi Kong Tse Uncovering bifurcation patterns in
cortical synapses . . . . . . . . . . . 501--526
Damian Clancy and
Sang Taphou Mendy The effect of waning immunity on
long-term behaviour of stochastic models
for the spread of infection . . . . . . 527--544
Razvan C. Fetecau and
Raluca Eftimie An investigation of a nonlocal
hyperbolic model for self-organization
of biological groups . . . . . . . . . . 545--579
David Angeli and
Patrick De Leenheer and
Eduardo Sontag Graph-theoretic characterizations of
monotonicity of chemical networks in
reaction coordinates . . . . . . . . . . 581--616
Andreas Groh and
Alfred K. Louis Stochastic modelling of biased cell
migration and collagen matrix
modification . . . . . . . . . . . . . . 617--647
Michael Bergdorf and
Ivo F. Sbalzarini and
Petros Koumoutsakos A Lagrangian particle method for
reaction--diffusion systems on deforming
surfaces . . . . . . . . . . . . . . . . 649--663
Frédéric M. Hamelin and
Mark A. Lewis A differential game theoretical analysis
of mechanistic models for territoriality 665--694
Morihiro Notohara An application of the central limit
theorem to coalescence times in the
structured coalescent model with strong
migration . . . . . . . . . . . . . . . 695--714
Simone Linz and
Charles Semple and
Tanja Stadler Analyzing and reconstructing
reticulation networks under timing
constraints . . . . . . . . . . . . . . 715--737
Roger Lui and
Zhi An Wang Traveling wave solutions from
microscopic to macroscopic chemotaxis
models . . . . . . . . . . . . . . . . . 739--761
Tom Britton and
Peter Neal The time to extinction for a stochastic
SIS-household-epidemic model . . . . . . 763--779
Yongfeng Li and
Jeyaraman Srividhya Goldbeter--Koshland model for open
signaling cascades: a mathematical study 781--803
Frédéric Frank Weller A free boundary problem modeling
thrombus growth . . . . . . . . . . . . 805--818
Stephanie Leocard and
Etienne Pardoux Evolution of the ancestral recombination
graph along the genome in case of
selective sweep . . . . . . . . . . . . 819--841
Alan J. Terry Impulsive culling of a structured
population on two patches . . . . . . . 843--875
Bärbel M. R. Stadler and
Peter F. Stadler Combinatorial vector fields and the
valley structure of fitness landscapes 877--898
Wolfgang Alt Model-supported data analysis: some
biological principles and examples . . . 899--903
Bogdan Ka\'zmierczak and
Zbigniew Peradzy\'nski Calcium waves with fast buffers and
mechanical effects . . . . . . . . . . . 1--38
B. Bonzi and
A. A. Fall and
A. Iggidr and
G. Sallet Stability of differential susceptibility
and infectivity epidemic models . . . . 39--64
Arindam RoyChoudhury Composite likelihood-based inferences on
genetic data from dependent loci . . . . 65--80
Mary M. Ballyk and
Gail S. K. Wolkowicz Classical and resource-based
competition: a unifying graphical
approach . . . . . . . . . . . . . . . . 81--109
Alberto Gandolfi and
Mimmo Iannelli and
Gabriela Marinoschi An age-structured model of epidermis
growth . . . . . . . . . . . . . . . . . 111--141
Jennifer Lindquist and
Junling Ma and
P. van den Driessche and
Frederick H. Willeboordse Effective degree network disease models 143--164
Guo Lin and
Wan-Tong Li and
Shigui Ruan Spreading speeds and traveling waves in
competitive recursion systems . . . . . 165--201
Sivan Leviyang The distribution of $ F_{st} $ and other
genetic statistics for a class of
population structure models . . . . . . 203--289
Jinfeng Wang and
Junping Shi and
Junjie Wei predator--prey system with strong Allee
effect in prey . . . . . . . . . . . . . 291--331
Patrik Andersson and
David Lindenstrand A stochastic SIS epidemic with
demography: initial stages and time to
extinction . . . . . . . . . . . . . . . 333--348
Joel C. Miller A note on a paper by Erik Volz: SIR
dynamics in random networks . . . . . . 349--358
Mats Gyllenberg and
Robert Service Necessary and sufficient conditions for
the existence of an optimisation
principle in evolution . . . . . . . . . 359--369
T. Blackstone and
R. Scharein and
B. Borgo and
R. Varela and
Y. Diao and
J. Arsuaga Modeling of chromosome intermingling by
partially overlapping uniform random
polygons . . . . . . . . . . . . . . . . 371--389
Philippe Souplet and
Michael Winkler The influence of space dimension on the
large-time behavior in a
reaction--diffusion system modeling
diallelic selection . . . . . . . . . . 391--421
Elsa Hansen and
Troy Day Optimal control of epidemics with
limited resources . . . . . . . . . . . 423--451
Roderick Edwards and
Sehjeong Kim and
P. van den Driessche Control design for sustained oscillation
in a two-gene regulatory network . . . . 453--478
Péter L. Simon and
Michael Taylor and
Istvan Z. Kiss Exact epidemic models on graphs using
graph-automorphism driven lumping . . . 479--508
C. Connell McCluskey and
David J. D. Earn Attractivity of coherent manifolds in
metapopulation models . . . . . . . . . 509--541
Yijun Lou and
Xiao-Qiang Zhao A reaction--diffusion malaria model with
incubation period in the vector
population . . . . . . . . . . . . . . . 543--568
Emiliano Cristiani and
Paolo Frasca and
Benedetto Piccoli Effects of anisotropic interactions on
the structure of animal groups . . . . . 569--588
Joseph P. Previte and
Natalie Sheils and
Kathleen A. Hoffman and
Tim Kiemel and
Eric D. Tytell Entrainment ranges of forced phase
oscillators . . . . . . . . . . . . . . 589--603
Michael Raghib and
Nicholas A. Hill and
Ulf Dieckmann A multiscale maximum entropy moment
closure for locally regulated space-time
point process models of population
dynamics . . . . . . . . . . . . . . . . 605--653
Sebastian J. Schreiber and
Michel Bena\"\im and
Kolawolé A. S. Atchadé Persistence in fluctuating environments 655--683
Lucia Marucci and
Stefania Santini and
Mario di Bernardo and
Diego di Bernardo Derivation, identification and
validation of a computational model of a
novel synthetic regulatory network in
yeast . . . . . . . . . . . . . . . . . 685--706
V. Gyrya and
K. Lipnikov and
I. S. Aranson and
L. Berlyand Effective shear viscosity and dynamics
of suspensions of micro-swimmers from
small to moderate concentrations . . . . 707--740
Nicolas Bacaër and
El Hadi Ait Dads Genealogy with seasonality, the basic
reproduction number, and the influenza
pandemic . . . . . . . . . . . . . . . . 741--762
Su-Chan Park and
Joachim Krug Bistability in two-locus models with
selection, mutation, and recombination 763--788
Kristan A. Schneider and
Yuseob Kim Approximations for the hitchhiking
effect caused by the evolution of
antimalarial-drug resistance . . . . . . 789--832
Elizabeth S. Allman and
James H. Degnan and
John A. Rhodes Identifying the rooted species tree from
the distribution of unrooted gene trees
under the coalescent . . . . . . . . . . 833--862
B. Cessac A discrete time neural network model
with spiking neurons: II: Dynamics with
noise . . . . . . . . . . . . . . . . . 863--900
Roger G. Bowers On the determination of evolutionary
outcomes directly from the population
dynamics of the resident . . . . . . . . 901--924
Yun Kang and
Nicolas Lanchier Expansion or extinction: deterministic
and stochastic two-patch models with
Allee effects . . . . . . . . . . . . . 925--973
Bedr'Eddine A\"\inseba and
Chahrazed Benosman Global dynamics of hematopoietic stem
cells and differentiated cells in a
chronic myeloid leukemia model . . . . . 975--997
Piotr Biler and
Lucilla Corrias and
Jean Dolbeault Large mass self-similar solutions of the
parabolic-parabolic Keller--Segel model
of chemotaxis . . . . . . . . . . . . . 1--32
Graham Jones Calculations for multi-type
age-dependent binary branching processes 33--56
Amaury Lambert Species abundance distributions in
neutral models with immigration or
mutation and general lifetimes . . . . . 57--72
Rex Bing Hung Kwok Phylogeny, genealogy and the Linnaean
hierarchy: a logical analysis . . . . . 73--108
Peter A. I. Forsyth and
Christoph Hauert Public goods games with reward in finite
populations . . . . . . . . . . . . . . 109--123
Gang Huang and
Yasuhiro Takeuchi Global analysis on delay epidemiological
dynamic models with nonlinear incidence 125--139
Vivi Andasari and
Alf Gerisch and
Georgios Lolas and
Andrew P. South and
Mark A. J. Chaplain Mathematical modeling of cancer cell
invasion of tissue: biological insight
from mathematical analysis and
computational simulation . . . . . . . . 141--171
Carsten Mente and
Ina Prade and
Lutz Brusch and
Georg Breier and
Andreas Deutsch Parameter estimation with a novel
gradient-based optimization method for
biological lattice-gas cellular
automaton models . . . . . . . . . . . . 173--200
Edgar Delgado-Eckert and
Michael Shapiro A model of host response to a
multi-stage pathogen . . . . . . . . . . 201--227
K.-C. Lee and
A. Gopinathan and
J. M. Schwarz Modeling the formation of in vitro
filopodia . . . . . . . . . . . . . . . 229--261
Åke Brännström and
Thilo Gross and
Bernd Blasius and
Ulf Dieckmann Consequences of fluctuating group size
for the evolution of cooperation . . . . 263--281
Ram Rup Sarkar and
R. Maithreye and
Somdatta Sinha Design of regulation and dynamics in
simple biochemical pathways . . . . . . 283--307
Frank Ball and
Tom Britton and
David Sirl Household epidemic models with varying
infection response . . . . . . . . . . . 309--337
James D. Benson and
Carmen C. Chicone and
John K. Critser A general model for the dynamics of cell
volume, global stability, and optimal
control . . . . . . . . . . . . . . . . 339--359
Éva Kisdi and
Tadeas Priklopil Evolutionary branching of a magic trait 361--397
G. Ewing and
J. Hermisson and
P. Pfaffelhuber and
J. Rudolf Selective sweeps for recessive alleles
and for other modes of dominance . . . . 399--431
Peter H. Baxendale and
Priscilla E. Greenwood Sustained oscillations for density
dependent Markov processes . . . . . . . 433--457
Shantia Yarahmadian and
Blake Barker and
Kevin Zumbrun and
Sidney L. Shaw Existence and stability of steady states
of a reaction convection diffusion
equation modeling microtubule formation 459--492
Pierre-Emmanuel Jabin and
Gaël Raoul On selection dynamics for competitive
interactions . . . . . . . . . . . . . . 493--517
Manuel O. Cáceres and
Iris Cáceres-Saez Random Leslie matrices in population
dynamics . . . . . . . . . . . . . . . . 519--556
Ying Su and
Shigui Ruan and
Junjie Wei Periodicity and synchronization in
blood-stage malaria infection . . . . . 557--574
Åke Brännström and
Linus Carlsson and
Axel G. Rossberg Rigorous conditions for food-web
intervality in high-dimensional trophic
niche spaces . . . . . . . . . . . . . . 575--592
Adrien Richard and
Jean-Paul Comet Stable periodicity and negative circuits
in differential systems . . . . . . . . 593--600
Akira Sasaki and
Ulf Dieckmann Oligomorphic dynamics for analyzing the
quantitative genetics of adaptive
speciation . . . . . . . . . . . . . . . 601--635
Marc Bailly-Bechet and
Arndt Benecke and
Wolf Dietrich Hardt and
Valentina Lanza and
Alexander Sturm and
Riccardo Zecchina An externally modulated, noise-driven
switch for the regulation of SPI1 in
\booktitleSalmonella enterica serovar
Typhimurium . . . . . . . . . . . . . . 637--662
Frank Vinther and
Morten Andersen and
Johnny T. Ottesen The minimal model of the
hypothalamic-pituitary-adrenal axis . . 663--690
Lorenzo Pellis and
Neil M. Ferguson and
Christophe Fraser Epidemic growth rate and household
reproduction number in communities of
households, schools and workplaces . . . 691--734
D. A. Quint and
J. M. Schwarz Optimal orientation in branched
cytoskeletal networks . . . . . . . . . 735--755
Marcus J. Grote and
Viviana Palumberi and
Barbara Wagner and
Andrea Barbero and
Ivan Martin Dynamic formation of oriented patches in
chondrocyte cell cultures . . . . . . . 757--777
Samik Datta and
Gustav W. Delius and
Richard Law and
Michael J. Plank A stability analysis of the power-law
steady state of marine size spectra . . 779--799
José Antonio Carrillo and
Stéphane Cordier and
Simona Mancini A decision-making Fokker--Planck model
in computational neuroscience . . . . . 801--830
Chris Levy and
David Iron Model of cell signal transduction in a
three-dimensional domain . . . . . . . . 831--854
D. V. Efimov Phase resetting control based on direct
phase response curve . . . . . . . . . . 855--879
Bader Alshamary and
Ovidiu Calin Geometric optimization for prey-predator
strategies . . . . . . . . . . . . . . . 881--900
Xiong Li and
Hao Wang and
Yang Kuang Global analysis of a stoichiometric
producer-grazer model with Holling type
functional responses . . . . . . . . . . 901--932
Noura Yousfi and
Khalid Hattaf and
Abdessamad Tridane Modeling the adaptive immune response in
HBV infection . . . . . . . . . . . . . 933--957
Julian King and
Karl Unterkofler and
Gerald Teschl and
Susanne Teschl and
Helin Koc and
Hartmann Hinterhuber and
Anton Amann A mathematical model for breath gas
analysis of volatile organic compounds
with special emphasis on acetone . . . . 959--999
Jifeng Hu and
Hans G. Othmer A theoretical analysis of filament
length fluctuations in actin and other
polymers . . . . . . . . . . . . . . . . 1001--1049
Evelyn Buckwar and
Martin G. Riedler An exact stochastic hybrid model of
excitable membranes including
spatio-temporal evolution . . . . . . . 1051--1093
R. Barreira and
C. M. Elliott and
A. Madzvamuse The surface finite element method for
pattern formation on evolving biological
surfaces . . . . . . . . . . . . . . . . 1095--1119
Steven M. Seubert and
Gordon A. Wade and
Daniel D. Wiegmann The variability of male quality and
female mate choice decisions:
second-order stochastic dominance and
the behavior of searchers under a
sequential search strategy . . . . . . . 1121--1138
Zhan Chen and
Nathan A. Baker and
G. W. Wei Differential geometry based solvation
model II: Lagrangian formulation . . . . 1139--1200
Ralf Blossey and
Jean-François Bodart and
Anne Devys and
Thierry Goudon and
Pauline Lafitte Signal propagation of the MAPK cascade
in Xenopus oocytes: role of bistability
and ultrasensitivity for a mixed problem 1--39
Chandrasekhar Venkataraman and
Omar Lakkis and
Anotida Madzvamuse Global existence for semilinear
reaction--diffusion systems on evolving
domains . . . . . . . . . . . . . . . . 41--67
Magnus Bordewich and
Charles Semple Budgeted Nature Reserve Selection with
diversity feature loss and arbitrary
split systems . . . . . . . . . . . . . 69--85
Shashir B. Reddy and
Noah A. Rosenberg Refining the relationship between
homozygosity and the frequency of the
most frequent allele . . . . . . . . . . 87--108
Sze-Bi Hsu and
Xiao-Qiang Zhao A Lotka--Volterra competition model with
seasonal succession . . . . . . . . . . 109--130
Siamak Taati and
Enrico Formenti and
Jean-Paul Comet and
Gilles Bernot On the impact of the distance between
two genes on their interaction curve . . 131--147
David Bryant and
Steffen Klaere The link between segregation and
phylogenetic diversity . . . . . . . . . 149--162
Sylvain Billiard and
Viet Chi Tran A general stochastic model for
sporophytic self-incompatibility . . . . 163--210
Juncheng Wei and
Matthias Winter Flow-distributed spikes for Schnakenberg
kinetics . . . . . . . . . . . . . . . . 211--254
A. Gómez-Corral and
M. López García Extinction times and size of the
surviving species in a two-species
competition process . . . . . . . . . . 255--289
Cornelia Pokalyuk The effect of recurrent mutation on the
linkage disequilibrium under a selective
sweep . . . . . . . . . . . . . . . . . 291--317
Juan B. Gutierrez and
Monica K. Hurdal and
Rana D. Parshad and
John L. Teem Analysis of the Trojan Y chromosome
model for eradication of invasive
species in a dendritic riverine system 319--340
Michael Sieber and
Frank M. Hilker The hydra effect in predator--prey
models . . . . . . . . . . . . . . . . . 341--360
Anita Häcker A mathematical model for mesenchymal and
chemosensitive cell dynamics . . . . . . 361--401
Nicolas Bacaër The model of Kermack and McKendrick for
the plague epidemic in Bombay and the
type reproduction number with
seasonality . . . . . . . . . . . . . . 403--422
Julien Arino and
Arnaud Ducrot and
Pascal Zongo A metapopulation model for malaria with
transmission-blocking partial immunity
in hosts . . . . . . . . . . . . . . . . 423--448
Campbell Duff and
Kate Smith-Miles and
Leo Lopes and
Tianhai Tian Mathematical modelling of stem cell
differentiation: the PU.1-GATA-1
interaction . . . . . . . . . . . . . . 449--468
Qiwen Sun and
Moxun Tang and
Jianshe Yu Modulation of gene transcription noise
by competing transcription factors . . . 469--494
Yu Wu and
Mingjun Zhang and
Jing Wu and
Xiaopeng Zhao and
Lijin Xia Evolutionary game theoretic strategy for
optimal drug delivery to influence
selection pressure in treatment of HIV-1 495--512
Dietmar Oelz and
Christian Schmeiser Simulation of lamellipodial fragments 513--528
Thomas J. X. Li and
Christian M. Reidys Combinatorics of RNA--RNA interaction 529--556
Urszula Ledzewicz and
Mohammad Naghnaeian and
Heinz Schättler Optimal response to chemotherapy for a
mathematical model of tumor-immune
dynamics . . . . . . . . . . . . . . . . 557--577
R. D. O'Dea and
J. R. King Continuum limits of pattern formation in
hexagonal-cell monolayers . . . . . . . 579--610
Karl Hadeler and
Alan Hastings Forward to special issue . . . . . . . . 611--612
K. P. Hadeler Pair formation . . . . . . . . . . . . . 613--645
Luca Giuggioli and
Frederic Bartumeus Linking animal movement to site fidelity 647--656
Rick Durrett and
Daniel Remenik Evolution of dispersal distance . . . . 657--666
Jessica Langebrake and
Louise Riotte-Lambert and
Craig W. Osenberg and
Patrick De Leenheer Differential movement and movement bias
models for marine protected areas . . . 667--696
Xingpeng Jiang and
Joshua S. Weitz and
Jonathan Dushoff A non-negative matrix factorization
framework for identifying modular
patterns in metagenomic profile data . . 697--711
James P. Grover and
Sze-Bi Hsu and
Feng-Bin Wang Competition between microorganisms for a
single limiting resource with cell quota
structure and spatial variation . . . . 713--743
Giuliana Indelicato and
Paolo Cermelli and
David G. Salthouse and
Simone Racca and
Giovanni Zanzotto and
Reidun Twarock A crystallographic approach to
structural transitions in icosahedral
viruses . . . . . . . . . . . . . . . . 745--773
R. McVinish and
P. K. Pollett The limiting behaviour of a
mainland-island metapopulation . . . . . 775--801
Bin Wu and
Chaitanya S. Gokhale and
Long Wang and
Arne Traulsen How small are small mutation rates? . . 803--827
Pavol Bokes and
John R. King and
Andrew T. A. Wood and
Matthew Loose Exact and approximate distributions of
protein and mRNA levels in the low-copy
regime of gene expression . . . . . . . 829--854
Yuanshi Wang and
Hong Wu and
Shigui Ruan Periodic orbits near heteroclinic cycles
in a cyclic replicator system . . . . . 855--872
Yoichiro Mori Erratum to: Mathematical properties of
pump-leak models of cell volume control
and electrolyte balance . . . . . . . . 873--916
Jeremy Curuksu Adaptive conformational sampling based
on replicas . . . . . . . . . . . . . . 917--931
Carlota Rebelo and
Alessandro Margheri and
Nicolas Bacaër Persistence in seasonally forced
epidemiological models . . . . . . . . . 933--949
Hal L. Smith and
Horst R. Thieme Persistence of bacteria and phages in a
chemostat . . . . . . . . . . . . . . . 951--979
Ali Nabi and
Jeff Moehlis Time optimal control of spiking neurons 981--1004
Michael Y. Li and
Hongying Shu Joint effects of mitosis and
intracellular delay on viral dynamics:
two-parameter bifurcation analysis . . . 1005--1020
Michael Taylor and
Péter L. Simon and
Darren M. Green and
Thomas House and
Istvan Z. Kiss From Markovian to pairwise epidemic
models and the performance of moment
closure approximations . . . . . . . . . 1021--1042
Katherine Northcott and
Mudassar Imran and
Gail S. K. Wolkowicz Competition in the presence of a virus
in an aquatic system: an SIS model in
the chemostat . . . . . . . . . . . . . 1043--1086
Y. Diao and
K. Hinson and
R. Kaplan and
M. Vazquez and
J. Arsuaga The effects of density on the
topological structure of the
mitochondrial DNA from trypanosomes . . 1087--1108
Sophie Hautphenne and
Guy Latouche The Markovian binary tree applied to
demography . . . . . . . . . . . . . . . 1109--1135
Tadeas Priklopil On invasion boundaries and the
unprotected coexistence of two
strategies . . . . . . . . . . . . . . . 1137--1156
Keith Stroyan and
Mark Nawrot Visual depth from motion parallax and
eye pursuit . . . . . . . . . . . . . . 1157--1188
Sepideh Mirrahimi and
Beno\^\it Perthame and
Joe Yuichiro Wakano Evolution of species trait through
resource competition . . . . . . . . . . 1189--1223
J. F. Weng and
I. Mareels and
D. A. Thomas Probability Steiner trees and maximum
parsimony in phylogenetic analysis . . . 1225--1251
Neil Hodge and
Panayiotis Papadopoulos Continuum modeling and numerical
simulation of cell motility . . . . . . 1253--1279
Ludek Berec and
Daniel Maxin Double impact of sterilizing pathogens:
added value of increased life expectancy
on pest control effectiveness . . . . . 1281--1311
Robert Rosenbaum and
Fabien Marpeau and
Jianfu Ma and
Aditya Barua and
Kresimir Josi\'c Finite volume and asymptotic methods for
stochastic neuron models with correlated
inputs . . . . . . . . . . . . . . . . . 1--34
Raluca Eftimie Hyperbolic and kinetic models for
self-organized biological aggregations
and movement: a brief review . . . . . . 35--75
Andreas W. M. Dress and
Katharina T. Huber and
Mike Steel `Lassoing' a phylogenetic tree I: basic
properties, shellings, and covers . . . 77--105
Carsten Conradi and
Dietrich Flockerzi Multistationarity in mass action
networks with applications to ERK
activation . . . . . . . . . . . . . . . 107--156
Philippe Gambette and
Katharina T. Huber On encodings of phylogenetic networks of
bounded level . . . . . . . . . . . . . 157--180
John Lang and
Michael Y. Li Stable and transient periodic
oscillations in a mathematical model for
CTL response to HTLV-I infection . . . . 181--199
Yiding Yang and
Zhilan Feng and
Dashun Xu and
Gregory J. Sandland and
Dennis J. Minchella Evolution of host resistance to parasite
infection in the snail-schistosome-human
system . . . . . . . . . . . . . . . . . 201--236
Guy Katriel The size of epidemics in populations
with heterogeneous susceptibility . . . 237--262
Emmanuelle Terry and
Jacqueline Marvel and
Christophe Arpin and
Olivier Gandrillon and
Fabien Crauste Mathematical model of the primary CD8 T
cell immune response: stability analysis
of a nonlinear age-structured system . . 263--291
Mareike Fischer Non-hereditary Maximum Parsimony trees 293--308
Hisashi Inaba On a new perspective of the basic
reproduction number in heterogeneous
environments . . . . . . . . . . . . . . 309--348
N. El Khatib and
S. Genieys and
B. Kazmierczak and
V. Volpert Reaction--diffusion model of
atherosclerosis development . . . . . . 349--374
Mirela Domijan and
Elisabeth Pécou The interaction graph structure of
mass-action reaction networks . . . . . 375--402
Yu Jin and
Mark A. Lewis Seasonal influences on population spread
and persistence in streams: spreading
speeds . . . . . . . . . . . . . . . . . 403--439
Aaron M. Smith and
Ruth E. Baker and
David Kay and
Philip K. Maini Incorporating chemical signalling
factors into cell-based models of
growing epithelial tissues . . . . . . . 441--463
Keum W. Lee and
Sahjendra N. Singh Bifurcation of orbits and synchrony in
inferior olive neurons . . . . . . . . . 465--491
Pavol Bokes and
John R. King and
Andrew T. A. Wood and
Matthew Loose Multiscale stochastic modelling of gene
expression . . . . . . . . . . . . . . . 493--520
Rongsong Liu and
Stephen A. Gourley and
Donald L. DeAngelis and
John P. Bryant Modeling the dynamics of woody
plant-herbivore interactions with
age-dependent toxicity . . . . . . . . . 521--552
Forrest W. Crawford and
Marc A. Suchard Transition probabilities for general
birth-death processes with applications
in ecology, genetics, and evolution . . 553--580
Peter Clote and
Yann Ponty and
Jean-Marc Steyaert Expected distance between terminal
nucleotides of RNA secondary structures 581--599
Nicolas Bacaër and
El Hadi Ait Dads On the biological interpretation of a
definition for the parameter $ R_0 $ in
periodic population models . . . . . . . 601--621
Jie Lou and
Yijun Lou and
Jianhong Wu Threshold virus dynamics with impulsive
antiretroviral drug effects . . . . . . 623--652
Yibao Li and
Ana Yun and
Junseok Kim An immersed boundary method for
simulating a single axisymmetric cell
growth and division . . . . . . . . . . 653--675
Benjamin Jourdain and
Sylvie Méléard and
Wojbor A. Woyczynski Lévy flights in evolutionary ecology . . 677--707
Yongfeng Li A generic model for open signaling
cascades with forward activation . . . . 709--742
L. R. Band and
J. R. King Multiscale modelling of auxin transport
in the plant-root elongation zone . . . 743--785
Xiao-Qiang Zhao Global dynamics of a reaction and
diffusion model for Lyme disease . . . . 787--808
Y. Dumont and
J. M. Tchuenche Mathematical studies on the sterile
insect technique for the Chikungunya
disease and \bionameAedes albopictus . . 809--854
Bingtuan Li Traveling wave solutions in a plant
population model with a seed bank . . . 855--873
Yoichiro Mori Mathematical properties of pump-leak
models of cell volume control and
electrolyte balance . . . . . . . . . . 875--918
Jorge M. Ramirez Population persistence under
advection--diffusion in river networks 919--942
Robert Stephen Cantrell and
Chris Cosner and
Yuan Lou Evolutionary stability of ideal free
dispersal strategies in patchy
environments . . . . . . . . . . . . . . 943--965
F. J. Vermolen and
E. Javierre A finite-element model for healing of
cutaneous wounds combining contraction,
angiogenesis and closure . . . . . . . . 967--996
Eduardo Liz and
Alfonso Ruiz-Herrera The hydra effect, bubbles, and chaos in
a simple discrete population model with
constant effort harvesting . . . . . . . 997--1016
Hye-Won Kang and
Likun Zheng and
Hans G. Othmer A new method for choosing the
computational cell in stochastic
reaction--diffusion systems . . . . . . 1017--1099
Ebraheem O. Alzahrani and
Fordyce A. Davidson and
Niall Dodds Reversing invasion in bistable systems 1101--1124
Stephen A. Gourley and
Shigui Ruan A delay equation model for oviposition
habitat selection by mosquitoes . . . . 1125--1148
Peter J. Thomas and
Jack D. Cowan Generalized spin models for coupled
cortical feature maps obtained by coarse
graining correlation based synaptic
learning rules . . . . . . . . . . . . . 1149--1186
Rama Mishra and
Shantha Bhushan Knot theory in understanding proteins 1187--1213
Andreas Rätz and
Matthias Röger Turing instabilities in a mathematical
model for signaling networks . . . . . . 1215--1244
Douglas A. Hanes Mathematical requirements of
visual-vestibular integration . . . . . 1245--1266
Vincent Moulton and
Mike Steel The `Butterfly effect' in Cayley graphs
with applications to genomics . . . . . 1267--1284
Sivan Leviyang Analysis of a stochastic predator--prey
model with applications to intrahost HIV
genetic diversity . . . . . . . . . . . 1285--1336
Peter Clote and
Stefan Dobrev and
Ivan Dotu and
Evangelos Kranakis and
Danny Krizanc and
Jorge Urrutia On the page number of RNA secondary
structures with pseudoknots . . . . . . 1337--1357
A. Henkel and
J. Müller and
C. Pötzsche Modeling the spread of Phytophthora . . 1359--1385
Zhiming Guo and
Feng-Bin Wang and
Xingfu Zou Threshold dynamics of an infective
disease model with a fixed latent period
and non-local infections . . . . . . . . 1387--1410
Stefan A. H. Geritz and
Éva Kisdi Mathematical ecology: why mechanistic
models? . . . . . . . . . . . . . . . . 1411--1415
Sanyi Tang and
Juhua Liang and
Yuanshun Tan and
Robert A. Cheke Threshold conditions for integrated pest
management models with pesticides that
have residual effects . . . . . . . . . 1--35
Bhalchandra D. Thatte Reconstructing pedigrees: some
identifiability questions for a
recombination--mutation model . . . . . 37--74
Junling Ma and
P. van den Driessche and
Frederick H. Willeboordse Effective degree household network
disease model . . . . . . . . . . . . . 75--94
Manuel Bichsel and
A. D. Barbour and
Andreas Wagner Estimating the fitness effect of an
insertion sequence . . . . . . . . . . . 95--114
Konstantin B. Blyuss The effects of symmetry on the dynamics
of antigenic variation . . . . . . . . . 115--137
Kevin K. Lin and
Kyle C. A. Wedgwood and
Stephen Coombes and
Lai-Sang Young Limitations of perturbative techniques
in the analysis of rhythms and
oscillations . . . . . . . . . . . . . . 139--161
Andrea Tosin Initial\slash boundary-value problems of
tumor growth within a host tissue . . . 163--202
Markus Durzinsky and
Wolfgang Marwan and
Annegret Wagler Reconstruction of extended Petri nets
from time-series data by using logical
control functions . . . . . . . . . . . 203--223
Claus Rueffler and
Johan A. J. Metz and
Tom J. M. Van Dooren What life cycle graphs can tell about
the evolution of life histories . . . . 225--279
Elisenda Feliu and
Carsten Wiuf Variable elimination in
post-translational modification reaction
networks with mass-action kinetics . . . 281--310
A. Bertuzzi and
C. Bruni and
F. Papa and
C. Sinisgalli Optimal solution for a cancer
radiotherapy problem . . . . . . . . . . 311--349
Pavel Prokharau and
Fred Vermolen Stability analysis for a peri-implant
osseointegration model . . . . . . . . . 351--382
Zhanwen Ding and
Shuxun Wang and
Honglin Yang Evolutionarily stable strategy and
invader strategy in matrix games . . . . 383--397
Marc Hellmuth and
Maribel Hernandez-Rosales and
Katharina T. Huber and
Vincent Moulton and
Peter F. Stadler and
Nicolas Wieseke Orthology relations, symbolic
ultrametrics, and cographs . . . . . . . 399--420
Andreas Rätz and
Matthias Röger Erratum to: Turing instabilities in a
mathematical model for signaling
networks . . . . . . . . . . . . . . . . 421--422
Steven N. Evans and
Peter L. Ralph and
Sebastian J. Schreiber and
Arnab Sen Stochastic population growth in
spatially heterogeneous environments . . 423--476
Johannes W. R. Martini and
G. Matthias Ullmann A mathematical view on the decoupled
sites representation . . . . . . . . . . 477--503
A. Depperschmidt and
N. Ketterer and
P. Pfaffelhuber A Brownian ratchet for protein
translocation including dissociation of
ratcheting sites . . . . . . . . . . . . 505--534
Romulus Breban Role of environmental persistence in
pathogen transmission: a mathematical
modeling approach . . . . . . . . . . . 535--546
Uduak Z. George and
Angélique Stéphanou and
Anotida Madzvamuse Mathematical modelling and numerical
simulations of actin dynamics in the
eukaryotic cell . . . . . . . . . . . . 547--593
Susana Serna and
Jasmine A. Nirody and
Miklós Z. Rácz Analysis of unstable behavior in a
mathematical model for erythropoiesis 595--625
A. Bertuzzi and
C. Bruni and
F. Papa and
C. Sinisgalli Erratum to: Optimal solution for a
cancer radiotherapy problem . . . . . . 627--630
Mats Gyllenberg In honour of Odo Diekmann on the
occasion of his 65th birthday . . . . . 631--634
J. A. J. Metz On the concept of individual in ecology
and evolution . . . . . . . . . . . . . 635--647
K. P. Hadeler Quiescence, excitability, and
heterogeneity in ecological models . . . 649--684
Allison K. Shaw and
Simon A. Levin The evolution of intermittent breeding 685--703
S. A. H. Geritz and
M. Gyllenberg Group defence and the predator's
functional response . . . . . . . . . . 705--717
Neil Benson and
Piet H. van der Graaf and
Lambertus A. Peletier Cross-membrane signal transduction of
receptor tyrosine kinases (RTKs): from
systems biology to systems pharmacology 719--742
Henri Berestycki and
Jean-Michel Roquejoffre and
Luca Rossi The influence of a line with fast
diffusion on Fisher--KPP propagation . . 743--766
Katerina Stanková and
Alessandro Abate and
Maurice W. Sabelis Irreversible prey diapause as an optimal
strategy of a physiologically extended
Lotka--Volterra model . . . . . . . . . 767--794
S. A. L. M. Kooijman Yolky eggs prepare for metabolic
acceleration . . . . . . . . . . . . . . 795--805
Shinji Nakaoka and
Kazuyuki Aihara Stochastic simulation of structured skin
cell population dynamics . . . . . . . . 807--835
S. A. van Gils and
S. G. Janssens and
Yu. A. Kuznetsov and
S. Visser On local bifurcations in neural field
models with transmission delays . . . . 837--887
André M. De Roos and
Johan A. J. Metz and
Lennart Persson Ontogenetic symmetry and asymmetry in
energetics . . . . . . . . . . . . . . . 889--914
J. A. J. Metz and
Viet Chi Tran Daphnias: from the individual based
model to the large population equation 915--933
S. Corson and
D. Greenhalgh and
S. J. Hutchinson A time since onset of injection model
for hepatitis C spread amongst injecting
drug users . . . . . . . . . . . . . . . 935--978
Frank Ball and
Tom Britton and
David Sirl A network with tunable clustering,
degree correlation and degree
distribution, and an epidemic thereon 979--1019
Éva Kisdi and
Barbara Boldin A construction method to study the role
of incidence in the adaptive dynamics of
pathogens with direct and environmental
transmission . . . . . . . . . . . . . . 1021--1044
M. G. Roberts and
J. A. P. Heesterbeek Characterizing the next-generation
matrix and basic reproduction number in
ecological epidemiology . . . . . . . . 1045--1064
Hisashi Inaba On the definition and the computation of
the type-reproduction number $T$ for
structured populations in heterogeneous
environments . . . . . . . . . . . . . . 1065--1097
Claus Rueffler and
Johan A. J. Metz Necessary and sufficient conditions for
$ R_0 $ to be a sum of contributions of
fertility loops . . . . . . . . . . . . 1099--1122
K. Borovkov and
R. Day and
T. Rice High host density favors greater
virulence: a model of parasite-host
dynamics based on multi-type branching
processes . . . . . . . . . . . . . . . 1123--1153
Yuanshi Wang Dynamics of plant-pollinator-robber
systems . . . . . . . . . . . . . . . . 1155--1177
M. M. Schuff and
J. P. Gore and
E. A. Nauman A mixture theory model of fluid and
solute transport in the microvasculature
of normal and malignant tissues. I.
Theory . . . . . . . . . . . . . . . . . 1179--1207
Doris H. Fuertinger and
Franz Kappel and
Stephan Thijssen and
Nathan W. Levin and
Peter Kotanko A model of erythropoiesis in adults with
sufficient iron availability . . . . . . 1209--1240
Xuefeng Wang and
Qian Xu Spiky and transition layer steady states
of chemotaxis systems via global
bifurcation and Helly's compactness
theorem . . . . . . . . . . . . . . . . 1241--1266
Emmanuel Boissard and
Pierre Degond and
Sebastien Motsch Trail formation based on directed
pheromone deposition . . . . . . . . . . 1267--1301
Grégory Faye and
James Rankin and
Pascal Chossat Localized states in an unbounded neural
field equation with smooth firing rate
function: a multi-parameter analysis . . 1303--1338
Mei-Hui Wang and
Mark Kot and
Michael G. Neubert Erratum to: Integrodifference equations,
Allee effects, and invasions . . . . . . 1339--1340
R. N. Bearon Helical swimming can provide robust
upwards transport for gravitactic
single-cell algae; a mechanistic model 1341--1359
Paola Malerba and
Nancy Kopell Phase resetting reduces theta-gamma
rhythmic interaction to a
one-dimensional map . . . . . . . . . . 1361--1386
F. Clarelli and
C. Di Russo and
R. Natalini and
M. Ribot A fluid dynamics model of the growth of
phototrophic biofilms . . . . . . . . . 1387--1408
Giovanni De Matteis and
Alex Graudenzi and
Marco Antoniotti A review of spatial computational models
for multi-cellular systems, with regard
to intestinal crypts and colorectal
cancer development . . . . . . . . . . . 1409--1462
M. G. Roberts Epidemic models with uncertainty in the
reproduction number . . . . . . . . . . 1463--1474
P. A. Robinson Neural field theory with variance
dynamics . . . . . . . . . . . . . . . . 1475--1497
Paul C. Bressloff Propagation of CaMKII translocation
waves in heterogeneous spiny dendrites 1499--1525
Timothy C. Reluga and
Jing Li Games of age-dependent prevention of
chronic infections by social distancing 1527--1553
Jean Clairambault Can theorems help treat cancer? . . . . 1555--1558
Matti Lassas and
Samuli Siltanen Foreword: inverse problems in biology 1--1
Jay Raol and
Steven J. Cox Inverse problems in neuronal calcium
signaling . . . . . . . . . . . . . . . 3--23
V. Capasso and
H. E. Kunze and
D. La Torre and
E. R. Vrscay Solving inverse problems for biological
models using the collage method for
differential equations . . . . . . . . . 25--38
Mette S. Olufsen and
Johnny T. Ottesen A practical approach to parameter
estimation applied to model predicting
heart rate regulation . . . . . . . . . 39--68
M. Doumic and
Léon M. Tine Estimating the division rate for the
growth-fragmentation equation . . . . . 69--103
Robert S. Anderssen and
Christopher A. Helliwell Information recovery in molecular
biology: causal modelling of regulated
promoter switching experiments . . . . . 105--122
Sergei Avdonin and
Jonathan Bell Determining a distributed parameter in a
neural cable model via a boundary
control method . . . . . . . . . . . . . 123--141
James Lu and
Elias August and
Heinz Koeppl Inverse problems from biomedicine . . . 143--168
Michael Doebeli and
Iaroslav Ispolatov Symmetric competition as a general model
for single-species adaptive dynamics . . 169--184
Linlin Cai and
Guoting Chen and
Dongmei Xiao Multiparametric bifurcations of an
epidemiological model with strong Allee
effect . . . . . . . . . . . . . . . . . 185--215
Dean Koch and
Reinhard Illner and
Junling Ma Edge removal in random contact networks
and the basic reproduction number . . . 217--238
Susanne Ditlevsen and
Priscilla Greenwood The Morris--Lecar neuron model embeds a
leaky integrate-and-fire model . . . . . 239--259
Juhong Kuang and
Moxun Tang and
Jianshe Yu The mean and noise of protein numbers in
stochastic gene expression . . . . . . . 261--291
Suzanne M. O'Regan and
Thomas C. Kelly and
Andrei Korobeinikov and
Michael J. A. O'Callaghan and
Alexei V. Pokrovskii and
Dmitrii Rachinskii Chaos in a seasonally perturbed SIR
model: avian influenza in a seabird
colony as a paradigm . . . . . . . . . . 293--327
Ross Cressman and
Vlastimil Krivan Two-patch population models with
adaptive dispersal: the effects of
varying dispersal speeds . . . . . . . . 329--358
Chamakuri Nagaiah and
Karl Kunisch and
Gernot Plank Optimal control approach to termination
of re-entry waves in cardiac
electrophysiology . . . . . . . . . . . 359--388
Yong Kong Length distribution of sequencing by
synthesis: fixed flow cycle model . . . 389--410
David Juher and
Jordi Ripoll and
Joan Saldaña Outbreak analysis of an SIS epidemic
model with rewiring . . . . . . . . . . 411--432
Jianfeng Shao and
Xiaohua Yan and
Shuo Shao SNR of DNA sequences mapped by general
affine transformations of the indicator
sequences . . . . . . . . . . . . . . . 433--451
Grégory Dumont and
Jacques Henry Population density models of
integrate-and-fire neurons with jumps:
well-posedness . . . . . . . . . . . . . 453--481
Anna Mummert Studying the recovery procedure for the
time-dependent transmission rate(s) in
epidemic models . . . . . . . . . . . . 483--507
Kalle Parvinen and
Mikko Heino and
Ulf Dieckmann Function-valued adaptive dynamics and
optimal control theory . . . . . . . . . 509--533
MingQing Xiao and
John D. Reeve and
Dashun Xu and
James T. Cronin Estimation of the diffusion rate and
crossing probability for biased edge
movement between two different types of
habitat . . . . . . . . . . . . . . . . 535--567
Pierre Collet and
Sylvie Méléard and
Johan A. J. Metz A rigorous model study of the adaptive
dynamics of Mendelian diploids . . . . . 569--607
Eleonora Catsigeras and
Pierre Guiraud Integrate and fire neural networks,
piecewise contractive maps and limit
cycles . . . . . . . . . . . . . . . . . 609--655
David Diego and
Gabriel F. Calvo and
Víctor M. Pérez-García Modeling the connection between primary
and metastatic tumors . . . . . . . . . 657--692
R. McVinish and
P. K. Pollett The limiting behaviour of a stochastic
patch occupancy model . . . . . . . . . 693--716
Yasumasa Saisho and
Atsushi Ito Mathematical models of the generation of
radiation-induced DNA double-strand
breaks . . . . . . . . . . . . . . . . . 717--736
Hans F. Weinberger Erratum to: The retreat of the less fit
allele in a population-controlled model
for population genetics . . . . . . . . 737--737
Johan Mailier and
Marcel Remy and
Alain Vande Wouwer Stoichiometric identification with
maximum likelihood principal component
analysis . . . . . . . . . . . . . . . . 739--765
Elchanan Mossel and
Sebastien Roch Identifiability and inference of
non-parametric rates-across-sites models
on large-scale phylogenies . . . . . . . 767--797
J. R. Artalejo and
A. Economou and
M. J. Lopez-Herrero Stochastic epidemic models with random
environment: quasi-stationarity,
extinction and final size . . . . . . . 799--831
R. Djellouli and
S. Mahserejian and
A. Mokrane and
M. Moussaoui and
T. M. Laleg-Kirati Theoretical study of the fibrous capsule
tissue growth around a disk-shaped
implant . . . . . . . . . . . . . . . . 833--867
Joel C. Miller and
Erik M. Volz Model hierarchies in edge-based
compartmental modeling for infectious
disease spread . . . . . . . . . . . . . 869--899
Yan Wang and
Yicang Zhou and
Fred Brauer and
Jane M. Heffernan Viral dynamics model with CTL immune
response incorporating antiretroviral
therapy . . . . . . . . . . . . . . . . 901--934
K. Argasinski and
M. Broom Ecological theatre and the evolutionary
game: how environmental and demographic
factors determine payoffs in
evolutionary games . . . . . . . . . . . 935--962
Damian Clancy and
Christopher J. Pearce The effect of population heterogeneities
upon spread of infection . . . . . . . . 963--987
M. Desroches and
M. Krupa and
S. Rodrigues Inflection, canards and excitability
threshold in neuronal models . . . . . . 989--1017
S. A. L. M. Kooijman Erratum to: Yolky eggs prepare for
metabolic acceleration . . . . . . . . . 1019--1021
Johannes Müller and
Hannes Uecker Approximating the dynamics of
communicating cells in a diffusive
medium by ODEs-homogenization with
localization . . . . . . . . . . . . . . 1023--1065
Zhisheng Shuai and
J. A. P. Heesterbeek and
P. van den Driessche Extending the type reproduction number
to infectious disease control targeting
contacts between types . . . . . . . . . 1067--1082
Muntaser Safan and
Mirjam Kretzschmar and
Karl P. Hadeler Vaccination based control of infections
in SIRS models with reinfection: special
reference to pertussis . . . . . . . . . 1083--1110
John M. Kitayimbwa and
Joseph Y. T. Mugisha and
Roberto A. Saenz The role of backward mutations on the
within-host dynamics of HIV-1 . . . . . 1111--1139
Michael C. Wendl and
Karthik Kota and
George M. Weinstock and
Makedonka Mitreva Coverage theories for metagenomic DNA
sequencing based on a generalization of
Stevens' theorem . . . . . . . . . . . . 1141--1161
Klaas Hartmann The equivalence of two phylogenetic
biodiversity measures: the Shapley value
and Fair Proportion index . . . . . . . 1163--1170
J. Claus and
E. Friedmann and
U. Klingmüller and
R. Rannacher and
T. Szekeres Spatial aspects in the SMAD signaling
pathway . . . . . . . . . . . . . . . . 1171--1197
R. D. O'Dea and
J. M. Osborne and
A. J. El Haj and
H. M. Byrne and
S. L. Waters The interplay between tissue growth and
scaffold degradation in engineered
tissue constructs . . . . . . . . . . . 1199--1225
Yun Kang and
Lauren Wedekin Dynamics of a intraguild predation model
with generalist or specialist predator 1227--1259
J. E. Andersen and
R. C. Penner and
C. M. Reidys and
M. S. Waterman Topological classification and
enumeration of RNA structures by genus 1261--1278
Delphine Draelants and
Jan Broeckhove and
Gerrit T. S. Beemster and
Wim Vanroose Numerical bifurcation analysis of the
pattern formation in a cell based auxin
transport model . . . . . . . . . . . . 1279--1305
M. M. Schuff and
J. P. Gore and
E. A. Nauman A mixture theory model of fluid and
solute transport in the microvasculature
of normal and malignant tissues. II:
Factor sensitivity analysis,
calibration, and validation . . . . . . 1307--1337
Grzegorz A. Rempala and
Michal Seweryn Methods for diversity and overlap
analysis in T-cell receptor populations 1339--1368
Yves Achdou and
Bruno Franchi and
Norina Marcello and
Maria Carla Tesi A qualitative model for aggregation and
diffusion of $ \beta $-amyloid in
Alzheimer's disease . . . . . . . . . . 1369--1392
A. M. Middleton and
J. R. King and
M. Loose Wave pinning and spatial patterning in a
mathematical model of Antivin\slash
Lefty-Nodal signalling . . . . . . . . . 1393--1424
Ricardo Dunia and
Roger Bonnecaze Mathematical modeling of viral infection
dynamics in spherical organs . . . . . . 1425--1455
Andrea Hawkins-Daarud and
Serge Prudhomme and
Kristoffer G. van der Zee and
J. Tinsley Oden Bayesian calibration, validation, and
uncertainty quantification of diffuse
interface models of tumor growth . . . . 1457--1485
Adriana Setchi and
A. Jonathan Mestel and
Jennifer H. Siggers and
Kim H. Parker and
Ming Wang Tan and
Kangwen Wong Mathematical model of flow through the
patent ductus arteriosus . . . . . . . . 1487--1506
Bernard S. Chan and
Pei Yu Bifurcation, stability, and cluster
formation of multi-strain infection
models . . . . . . . . . . . . . . . . . 1507--1532
Michael H. Cortez When does pathogen evolution maximize
the basic reproductive number in
well-mixed host-pathogen systems? . . . 1533--1585
Je-Chiang Tsai Do calcium buffers always slow down the
propagation of calcium waves? . . . . . 1587--1632
Elisa Franco and
Franco Blanchini Structural properties of the MAPK
pathway topologies in PC12 cells . . . . 1633--1668
Paul C. Bressloff and
Yi Ming Lai Dispersal and noise: Various modes of
synchrony in ecological oscillators . . 1669--1690
Chris Levy and
David Iron Dynamics and stability of a
three-dimensional model of cell signal
transduction . . . . . . . . . . . . . . 1691--1728
Nicolas Bacaër and
Mohamed Khaladi On the basic reproduction number in a
random environment . . . . . . . . . . . 1729--1739
Rachel A. Taylor and
Jonathan A. Sherratt and
Andrew White Seasonal forcing and multi-year cycles
in interacting populations: lessons from
a predator--prey model . . . . . . . . . 1741--1764
Pablo Sáez and
Estefanía Peña and
Miguel Ángel Martínez and
Ellen Kuhl Mathematical modeling of collagen
turnover in biological tissue . . . . . 1765--1793
Sara Berthoumieux and
Matteo Brilli and
Daniel Kahn and
Hidde de Jong and
Eugenio Cinquemani On the identifiability of metabolic
network models . . . . . . . . . . . . . 1795--1832
Gabriel Cardona and
Arnau Mir and
Francesc Rosselló Exact formulas for the variance of
several balance indices under the Yule
model . . . . . . . . . . . . . . . . . 1833--1846
Julia Mikhal and
Bernard J. Geurts Development and application of a volume
penalization immersed boundary method
for the computation of blood flow and
shear stresses in cerebral vessels and
aneurysms . . . . . . . . . . . . . . . 1847--1875
Juncheng Wei and
Matthias Winter Stability of cluster solutions in a
cooperative consumer chain model . . . . 1--39
Niklas Hartung Parameter non-identifiability of the
Gyllenberg--Webb ODE model . . . . . . . 41--55
Xiaoming Zheng and
Chunjing Xie A viscoelastic model of blood capillary
extension and regression: derivation,
analysis, and simulation . . . . . . . . 57--80
Derek E. Moulton and
Alain Goriely Surface growth kinematics via local
curve evolution . . . . . . . . . . . . 81--108
Benjamin Allen and
Corina E. Tarnita Measures of success in a class of
evolutionary models with fixed
population size and structure . . . . . 109--143
Maria Barbi and
Julien Mozziconacci and
Hua Wong and
Jean-Marc Victor DNA topology in chromosomes: a
quantitative survey and its
physiological implications . . . . . . . 145--179
Tomas Veloz and
Pablo Razeto-Barry and
Peter Dittrich and
Alejandro Fajardo Reaction networks and evolutionary game
theory . . . . . . . . . . . . . . . . . 181--206
Judith R. Miller and
Huihui Zeng Range limits in spatially explicit
models of quantitative traits . . . . . 207--234
Otared Kavian and
Michael Legu\`ebe and
Clair Poignard and
Lisl Weynans ``Classical'' Electropermeabilization
Modeling at the Cell Scale . . . . . . . 235--265
Y. Sakamoto and
S. Prudhomme and
M. H. Zaman Modeling of adhesion, protrusion, and
contraction coordination for cell
migration simulations . . . . . . . . . 267--302
Michael A. Schwemmer and
Timothy J. Lewis The robustness of phase-locking in
neurons with dendro-dendritic electrical
coupling . . . . . . . . . . . . . . . . 303--340
Éric Fusy and
Peter Clote Combinatorics of locally optimal RNA
secondary structures . . . . . . . . . . 341--375
François Castella and
Sten Madec Coexistence phenomena and global
bifurcation structure in a
chemostat-like model with
species-dependent diffusion rates . . . 377--415
Chuncheng Wang and
Stephen A. Gourley and
Rongsong Liu Delayed action insecticides and their
role in mosquito and malaria control . . 417--451
Azmy S. Ackleh and
Paul L. Salceanu Robust uniform persistence and
competitive exclusion in a nonautonomous
multi-strain SIR epidemic model with
disease-induced mortality . . . . . . . 453--475
Hongying Shu and
Lin Wang and
James Watmough Sustained and transient oscillations and
chaos induced by delayed antiviral
immune response in an immunosuppressive
infection model . . . . . . . . . . . . 477--503
Robert Planqué and
Nicholas F. Britton and
Hans Slabbekoorn On the maintenance of bird song dialects 505--531
Nicolas Bacaër and
El Hadi Ait Dads On the probability of extinction in a
periodic environment . . . . . . . . . . 533--548
Christina A. Cobbold and
Frithjof Lutscher Mean occupancy time: linking mechanistic
movement models, population dynamics and
landscape ecology to population
persistence . . . . . . . . . . . . . . 549--579
Syed Shahed Riaz and
Michael C. Mackey Dynamic spatial pattern formation in the
sea urchin embryo . . . . . . . . . . . 581--608
Fernando López-Caamal and
Richard H. Middleton and
Heinrich J. Huber Equilibria and stability of a class of
positive feedback loops . . . . . . . . 609--645
Brian Seguin and
Eliot Fried Microphysical derivation of the
Canham--Helfrich free-energy density . . 647--665
Lisa Davis and
Tomás Gedeon and
Jakub Gedeon and
Jennifer Thorenson A traffic flow model for
bio-polymerization processes . . . . . . 667--700
E. Augeraud-Véron and
N. Sari Seasonal dynamics in an SIR epidemic
system . . . . . . . . . . . . . . . . . 701--725
Thierry E. Huillet Pareto genealogies arising from a
Poisson branching evolution model with
selection . . . . . . . . . . . . . . . 727--761
Nelson Owuor Onyango and
Johannes Müller Determination of optimal vaccination
strategies using an orbital stability
threshold from periodically driven
systems . . . . . . . . . . . . . . . . 763--784
Greg Lemon and
Ylva Gustafsson and
Johannes C. Haag and
Mei L. Lim and
Sebastian Sjöqvist and
Fatemeh Ajalloueian and
Philipp Jungebluth and
Paolo Macchiarini Modelling biological cell attachment and
growth on adherent surfaces . . . . . . 785--813
Matt Kloosterman and
Sue Ann Campbell and
Francis J. Poulin A closed NPZ model with delayed nutrient
recycling . . . . . . . . . . . . . . . 815--850
King-Yeung Lam and
Yuan Lou Evolution of conditional dispersal:
evolutionarily stable strategies in
spatial models . . . . . . . . . . . . . 851--877
C. Feller and
J. P. Gabriel and
C. Mazza and
F. Yerly Pattern formation in auxin flux . . . . 879--909
Zhigang Zhang and
Jeffrey J. Morgan and
Paul A. Lindahl Mathematical model for positioning the
FtsZ contractile ring in
\bionameEscherichia coli . . . . . . . . 911--930
Sepideh Mirrahimi and
Beno\^\it Perthame and
Joe Yuichiro Wakano Direct competition results from strong
competition for limited resource . . . . 931--949
Åke Svensson Who was the infector-probabilities in
the presence of variability in latent
and infectious times . . . . . . . . . . 951--967
Krisztian Magori and
Andrew W. Park The evolutionary consequences of
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Franck J. Vernerey and
Mehdi Farsad A mathematical model of the coupled
mechanisms of cell adhesion, contraction
and spreading . . . . . . . . . . . . . 989--1022
Hwayeon Ryu and
Anita T. Layton Tubular fluid flow and distal NaCl
delivery mediated by tubuloglomerular
feedback in the rat kidney . . . . . . . 1023--1049
Romain Yvinec and
Changjing Zhuge and
Jinzhi Lei and
Michael C. Mackey Adiabatic reduction of a model of
stochastic gene expression with jump
Markov process . . . . . . . . . . . . . 1051--1070
Irene Paniello Marginal distributions of genetic
coalgebras . . . . . . . . . . . . . . . 1071--1087
Fabio A. C. C. Chalub and
Max O. Souza The frequency-dependent Wright--Fisher
model: diffusive and non-diffusive
approximations . . . . . . . . . . . . . 1089--1133
Ada Akerman and
Reinhard Bürger The consequences of gene flow for local
adaptation and differentiation: a
two-locus two-deme model . . . . . . . . 1135--1198
Jessica B. McGillen and
Eamonn A. Gaffney and
Natasha K. Martin and
Philip K. Maini A general reaction--diffusion model of
acidity in cancer invasion . . . . . . . 1199--1224
Vadim N. Biktashev A simple mathematical model of gradual
Darwinian evolution: emergence of a
Gaussian trait distribution in
adaptation along a fitness gradient . . 1225--1248
Hil G. E. Meijer and
Stephen Coombes Travelling waves in a neural field model
with refractoriness . . . . . . . . . . 1249--1268
Max O. Souza Multiscale analysis for a vector-borne
epidemic model . . . . . . . . . . . . . 1269--1293
Hans F. Weinberger The retreat of the less fit allele in a
population-controlled model for
population genetics . . . . . . . . . . 1295--1316
Wendi Wang and
Xingfu Zou Modeling the role of altruism of
antibiotic-resistant bacteria . . . . . 1317--1339
Yong-Jung Kim and
Ohsang Kwon and
Fang Li Global asymptotic stability and the
ideal free distribution in a starvation
driven diffusion . . . . . . . . . . . . 1341--1370
Ellen Baake and
Ute von Wangenheim Single-crossover recombination and
ancestral recombination trees . . . . . 1371--1402
Ayawoa S. Dagbovie and
Jonathan A. Sherratt Absolute stability and dynamical
stabilisation in predator--prey systems 1403--1421
Lars Nòrvang Andersen and
Thomas Mailund and
Asger Hobolth Efficient computation in the IM model 1423--1451
Philip J. Aston and
Gianne Derks and
Balaji M. Agoram and
Piet H. van der Graaf A mathematical analysis of rebound in a
target-mediated drug disposition model:
I. Without feedback . . . . . . . . . . 1453--1478
Chuncheng Wang and
Rongsong Liu and
Junping Shi and
Carlos Martinez del Rio Spatiotemporal mutualistic model of
mistletoes and birds . . . . . . . . . . 1479--1520
Bartholomäus V. Hirt and
Jonathan A. D. Wattis and
Simon P. Preston Modelling the regulation of telomere
length: the effects of telomerase and
G-Quadruplex stabilising drugs . . . . . 1521--1552
Ahmed Abdelrazec and
Suzanne Lenhart and
Huaiping Zhu Transmission dynamics of West Nile virus
in mosquitoes and corvids and
non-corvids . . . . . . . . . . . . . . 1553--1582
Matthew Graham and
Thomas House Dynamics of stochastic epidemics on
heterogeneous networks . . . . . . . . . 1583--1605
C. Stinner and
J. I. Tello and
M. Winkler Competitive exclusion in a two-species
chemotaxis model . . . . . . . . . . . . 1607--1626
Bastien Fernandez and
Lev S. Tsimring Typical trajectories of coupled
degrade-and-fire oscillators: from
dispersed populations to massive
clustering . . . . . . . . . . . . . . . 1627--1652
Dietmar Oelz A viscous two-phase model for
contractile actomyosin bundles . . . . . 1653--1676
Dmitry Vorotnikov Analytical aspects of the Brownian motor
effect in randomly flashing ratchets . . 1677--1705
Leo van Iersel and
Vincent Moulton Trinets encode tree-child and level-2
phylogenetic networks . . . . . . . . . 1707--1729
Xueying Wang and
Jay R. Walton and
Rana D. Parshad and
Katie Storey and
May Boggess Analysis of the Trojan Y-Chromosome
eradication strategy for an invasive
species . . . . . . . . . . . . . . . . 1731--1756
Philipp Kügler and
Wei Yang Identification of alterations in the
Jacobian of biochemical reaction
networks from steady state covariance
data at two conditions . . . . . . . . . 1757--1783
A. Hidalgo and
L. Tello and
E. F. Toro Numerical and analytical study of an
atherosclerosis inflammatory disease
model . . . . . . . . . . . . . . . . . 1785--1814
Bart Haegeman and
Tewfik Sari and
Rampal S. Etienne Predicting coexistence of plants subject
to a tolerance-competition trade-off . . 1815--1847
Eric Alan Eager and
Richard Rebarber and
Brigitte Tenhumberg Global asymptotic stability of
plant-seed bank models . . . . . . . . . 1--37
Yong Kong Distributions of positive signals in
pyrosequencing . . . . . . . . . . . . . 39--54
Lo\"\ic Paulevé and
Gheorghe Craciun and
Heinz Koeppl Dynamical properties of Discrete
Reaction Networks . . . . . . . . . . . 55--72
Nicolas Bacaër and
Abdelkarim Ed-Darraz On linear birth-and-death processes in a
random environment . . . . . . . . . . . 73--90
Wieland Marth and
Axel Voigt Signaling networks and cell motility: a
computational approach using a phase
field description . . . . . . . . . . . 91--112
Yanyu Xiao and
Xingfu Zou Transmission dynamics for vector-borne
diseases in a patchy environment . . . . 113--146
Manuel E. Lladser and
Stephen R. Chestnut Approximation of sojourn-times via
maximal couplings: motif frequency
distributions . . . . . . . . . . . . . 147--182
Timothy J. Taylor and
Istvan Z. Kiss Interdependency and hierarchy of exact
and approximate epidemic models on
networks . . . . . . . . . . . . . . . . 183--211
Yongyun Hwang and
Praveen Kumar and
Abdul I. Barakat Intracellular regulation of cell
signaling cascades: how location makes a
difference . . . . . . . . . . . . . . . 213--242
Attila Egri-Nagy and
Volker Gebhardt and
Mark M. Tanaka and
Andrew R. Francis Group-theoretic models of the inversion
process in bacterial genomes . . . . . . 243--265
Christopher Strickland and
Gerhard Dangelmayr and
Patrick D. Shipman Modeling the presence probability of
invasive plant species with nonlocal
dispersal . . . . . . . . . . . . . . . 267--294
Charles J. K. Batty and
Paul Crewe and
Alan Grafen and
Richard Gratwick Foundations of a mathematical theory of
Darwinism . . . . . . . . . . . . . . . 295--334
Camille Poignard Inducing chaos in a gene regulatory
network by coupling an oscillating
dynamics with a hysteresis-type one . . 335--368
Martha J. Garlick and
James A. Powell and
Mevin B. Hooten and
Leslie R. MacFarlane Homogenization, sex, and differential
motility predict spread of chronic
wasting disease in mule deer in southern
Utah . . . . . . . . . . . . . . . . . . 369--399
Jonathan Sarhad and
Robert Carlson and
Kurt E. Anderson Population persistence in river networks 401--448
Miguel A. Dumett and
James P. Keener The pyrite iron cycle catalyzed by
Acidithiobacillus ferrooxidans . . . . . 449--467
Mahmoud Ghandi and
Morteza Mohammad-Noori and
Michael A. Beer Robust $k$-mer frequency estimation
using gapped $k$-mers . . . . . . . . . 469--500
Xueying Wang and
Raju Gautam and
Pablo J. Pinedo and
Linda J. S. Allen and
Renata Ivanek A stochastic model for transmission,
extinction and outbreak of
\bioname\bionameEscherichia coli O157:H7
in cattle as affected by ambient
temperature and cleaning practices . . . 501--532
Arnaud Ducrot and
Thomas Giletti Convergence to a pulsating travelling
wave for an epidemic reaction--diffusion
system with non-diffusive susceptible
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Pilar García-Peñarrubia and
Juan J. Gálvez and
Jesús Gálvez Mathematical modelling and computational
study of two-dimensional and
three-dimensional dynamics of
receptor-ligand interactions in
signalling response mechanisms . . . . . 553--582
Jeffrey Musgrave and
Frithjof Lutscher Integrodifference equations in patchy
landscapes . . . . . . . . . . . . . . . 583--615
Jeffrey Musgrave and
Frithjof Lutscher Integrodifference equations in patchy
landscapes . . . . . . . . . . . . . . . 617--658
Le Thi Thanh An and
Willi Jäger A quantitative model of population
dynamics in malaria with drug treatment 659--685
J. Hasenauer and
V. Wolf and
A. Kazeroonian and
F. J. Theis Method of conditional moments (MCM) for
the Chemical Master Equation . . . . . . 687--735
Kokouvi M. Gamado and
George Streftaris and
Stan Zachary Modelling under-reporting in epidemics 737--765
Arnab Ganguly and
Tatjana Petrov and
Heinz Koeppl Markov chain aggregation and its
applications to combinatorial reaction
networks . . . . . . . . . . . . . . . . 767--797
Sebastian Böcker and
Stephan Wagner Counting glycans revisited . . . . . . . 799--816
Youshan Tao and
Qian Guo and
Kazuyuki Aihara A partial differential equation model
and its reduction to an ordinary
differential equation model for prostate
tumor growth under intermittent hormone
therapy . . . . . . . . . . . . . . . . 817--838
Maymona Al-Husari and
Craig Murdoch and
Steven D. Webb A cellular automaton model examining the
effects of oxygen, hydrogen ions and
lactate on early tumour growth . . . . . 839--873
Yuan Yuan and
Jacques Bélair Threshold dynamics in an SEIRS model
with latency and temporary immunity . . 875--904
Barbara Boldin and
Odo Diekmann An extension of the classification of
evolutionarily singular strategies in
Adaptive Dynamics . . . . . . . . . . . 905--940
Jay Newby and
Jon Chapman Metastable behavior in Markov processes
with internal states . . . . . . . . . . 941--976
Shane Ryerson and
Germán A. Enciso Ultrasensitivity in independent
multisite systems . . . . . . . . . . . 977--999
Luca Bolzoni and
Valentina Tessoni and
Maria Groppi and
Giulio A. De Leo React or wait: which optimal culling
strategy to control infectious diseases
in wildlife . . . . . . . . . . . . . . 1001--1025
M. V. Barbarossa and
K. P. Hadeler and
C. Kuttler State-dependent neutral delay equations
from population dynamics . . . . . . . . 1027--1056
Ola Hössjer and
Nils Ryman Quasi equilibrium, variance effective
size and fixation index for populations
with substructure . . . . . . . . . . . 1057--1128
Ralf Bundschuh Unified approach to partition functions
of RNA secondary structures . . . . . . 1129--1150
Arne C. Müller and
Alexander Bockmayr Flux modules in metabolic networks . . . 1151--1179
L. Korobenko and
E. Braverman On evolutionary stability of carrying
capacity driven dispersal in competition
with regularly diffusing populations . . 1181--1206
Mohamed Helal and
Erwan Hingant and
Laurent Pujo-Menjouet and
Glenn F. Webb Alzheimer's disease: analysis of a
mathematical model incorporating the
role of prions . . . . . . . . . . . . . 1207--1235
Vincent Calcagno and
Ludovic Mailleret and
Éric Wajnberg and
Frédéric Grognard How optimal foragers should respond to
habitat changes: a reanalysis of the
Marginal Value Theorem . . . . . . . . . 1237--1265
Gregory Roth and
Sebastian J. Schreiber Persistence in fluctuating environments
for interacting structured populations 1267--1317
Yuan Lou and
Frithjof Lutscher Evolution of dispersal in open advective
environments . . . . . . . . . . . . . . 1319--1342
Chris Cosner and
Michael Winkler Well-posedness and qualitative
properties of a dynamical model for the
ideal free distribution . . . . . . . . 1343--1382
Václav Klika and
Maria Angelés Pérez and
José Manuel García-Aznar and
Frantisek Marsík and
Manuel Doblaré A coupled mechano-biochemical model for
bone adaptation . . . . . . . . . . . . 1383--1429
Konstantin B. Blyuss Analysis of symmetries in models of
multi-strain infections . . . . . . . . 1431--1459
Wassim Abou-Jaoudé and
Madalena Chaves and
Jean-Luc Gouzé Links between topology of the transition
graph and limit cycles in a
two-dimensional piecewise affine
biological model . . . . . . . . . . . . 1461--1495
Vlastimil Krivan The Allee-type ideal free distribution 1497--1513
Sotiris A. Prokopiou and
Helen M. Byrne and
Mike R. Jeffrey and
Robert S. Robinson and
George E. Mann and
Markus R. Owen Mathematical analysis of a model for the
growth of the bovine corpus luteum . . . 1515--1546
Tatyana Luzyanina and
Jovana Cupovic and
Burkhard Ludewig and
Gennady Bocharov Mathematical models for CFSE labelled
lymphocyte dynamics: asymmetry and
time-lag in division . . . . . . . . . . 1547--1583
Laura Cantini and
Claudia Cianci and
Duccio Fanelli and
Emma Massi and
Luigi Barletti and
Malbor Asllani Stochastic amplification of spatial
modes in a system with one diffusing
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Nicole Massarelli and
Kathleen Hoffman and
Joseph P. Previte Effect of parity on productivity and
sustainability of Lotka--Volterra food
chains . . . . . . . . . . . . . . . . . 1609--1626
Pierre-André Noël and
Antoine Allard and
Laurent Hébert-Dufresne and
Vincent Marceau and
Louis J. Dubé Spreading dynamics on complex networks:
a general stochastic approach . . . . . 1627--1660
Liliana Ironi and
Ettore Lanzarone Assigning probabilities to qualitative
dynamics of gene regulatory networks . . 1661--1692
Andrew R. Francis An algebraic view of bacterial genome
evolution . . . . . . . . . . . . . . . 1693--1718
Pierre Bernhard and
Frédéric M. Hamelin Simple signaling games of sexual
selection (Grafen's revisited) . . . . . 1719--1742
Svetlana Poznanovi\'c and
Christine E. Heitsch Asymptotic distribution of motifs in a
stochastic context-free grammar model of
RNA folding . . . . . . . . . . . . . . 1743--1772
Tanvi P. Gujarati and
G. Ambika Virus antibody dynamics in primary and
secondary dengue infections . . . . . . 1773--1800
Manuel Barros and
Angel Ferrández On the energy density of helical
proteins . . . . . . . . . . . . . . . . 1801--1813
M. W. Adamson and
A. Yu. Morozov Defining and detecting structural
sensitivity in biological models:
developing a new framework . . . . . . . 1815--1848
Chuan Xue Macroscopic equations for bacterial
chemotaxis: integration of detailed
biochemistry of cell signaling . . . . . 1--44
David Koslicki and
Daniel J. Thompson Coding sequence density estimation via
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N. Eymard and
N. Bessonov and
O. Gandrillon and
M. J. Koury and
V. Volpert The role of spatial organization of
cells in erythropoiesis . . . . . . . . 71--97
Hannah Mayer and
Anton Bovier Stochastic modelling of T-cell
activation . . . . . . . . . . . . . . . 99--132
L. S. Kimpton and
J. P. Whiteley and
S. L. Waters and
J. M. Oliver On a poroviscoelastic model for cell
crawling . . . . . . . . . . . . . . . . 133--171
Evan Senter and
Ivan Dotu and
Peter Clote RNA folding pathways and kinetics using
2D energy landscapes . . . . . . . . . . 173--196
Manuel Molina and
Manuel Mota and
Alfonso Ramos Mathematical modeling in biological
populations through branching processes.
Application to salmonid populations . . 197--212
Semu Mitiku Kassa and
Aziz Ouhinou The impact of self-protective measures
in the optimal interventions for
controlling infectious diseases of human
population . . . . . . . . . . . . . . . 213--236
Stuart George and
Jamie M. Foster and
Giles Richardson Modelling in vivo action potential
propagation along a giant axon . . . . . 237--263
Bingtuan Li and
William F. Fagan and
Kimberly I. Meyer Success, failure, and spreading speeds
for invasions on spatial gradients . . . 265--287
Jean-Michel Coron and
Pierre Gabriel and
Peipei Shang Optimization of an amplification
protocol for misfolded proteins by using
relaxed control . . . . . . . . . . . . 289--327
E. Schertzer and
A. C. Staver and
S. A. Levin Implications of the spatial dynamics of
fire spread for the bistability of
savanna and forest . . . . . . . . . . . 329--341
Redouane Qesmi and
Jane M. Heffernan and
Jianhong Wu An immuno-epidemiological model with
threshold delay: a study of the effects
of multiple exposures to a pathogen . . 343--366
Amaury Lambert and
Hél\`ene Morlon and
Rampal S. Etienne The reconstructed tree in the
lineage-based model of protracted
speciation . . . . . . . . . . . . . . . 367--397
Alberto Gandolfi and
Andrea Pugliese and
Carmela Sinisgalli Epidemic dynamics and host immune
response: a nested approach . . . . . . 399--435
Istvan Z. Kiss and
Charles G. Morris and
Fanni Sélley and
Péter L. Simon and
Robert R. Wilkinson Exact deterministic representation of
Markovian SIR epidemics on networks with
and without loops . . . . . . . . . . . 437--464
Yohei Nakajima and
Naoki Masuda Evolutionary dynamics in finite
populations with zealots . . . . . . . . 465--484
F. Spill and
P. Guerrero and
T. Alarcon and
P. K. Maini and
H. M. Byrne Mesoscopic and continuum modelling of
angiogenesis . . . . . . . . . . . . . . 485--532
Robert Beyer and
Octave Etard and
Paul-Henry Courn\`ede and
Pascal Laurent-Gengoux Modeling spatial competition for light
in plant populations with the porous
medium equation . . . . . . . . . . . . 533--547
Jon Jacobsen and
Yu Jin and
Mark A. Lewis Integrodifference models for persistence
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Simon West and
Lloyd J. Bridge and
Michael R. H. White and
Pawel Paszek and
Vadim N. Biktashev A method of `speed coefficients' for
biochemical model reduction applied to
the NF-$ \kappa $ B system . . . . . . . 591--620
Romain Guy and
Catherine Larédo and
Elisabeta Vergu Approximation of epidemic models by
diffusion processes and their
statistical inference . . . . . . . . . 621--646
Yen Ting Lin and
Hyejin Kim and
Charles R. Doering Demographic stochasticity and evolution
of dispersion I. Spatially homogeneous
environments . . . . . . . . . . . . . . 647--678
Yen Ting Lin and
Hyejin Kim and
Charles R. Doering Demographic stochasticity and evolution
of dispersion II: Spatially
inhomogeneous environments . . . . . . . 679--707
Anotida Madzvamuse and
Hussaini S. Ndakwo and
Raquel Barreira Cross-diffusion-driven instability for
reaction--diffusion systems: analysis
and simulations . . . . . . . . . . . . 709--743
Alfonso Caiazzo and
Gino Montecinos and
Lucas O. Müller and
E. Mark Haacke and
Eleuterio F. Toro Computational haemodynamics in stenotic
internal jugular veins . . . . . . . . . 745--772
Sara Jabbari and
Stephen T. Cartman and
John R. King Mathematical modelling reveals
properties of TcdC required for it to be
a negative regulator of toxin production
in Clostridium difficile . . . . . . . . 773--804
D. Holcman and
K. Dao Duc and
A. Jones and
H. Byrne and
K. Burrage Post-transcriptional regulation in the
nucleus and cytoplasm: study of mean
time to threshold (MTT) and narrow
escape problem . . . . . . . . . . . . . 805--828
Joaquin Fontbona and
Sylvie Méléard Non local Lotka--Volterra system with
cross-diffusion in an heterogeneous
medium . . . . . . . . . . . . . . . . . 829--854
Jesús Fernández-Sánchez and
Jeremy G. Sumner and
Peter D. Jarvis and
Michael D. Woodhams Lie Markov models with purine/pyrimidine
symmetry . . . . . . . . . . . . . . . . 855--891
Yuandi Wang and
Mingya Dou and
Zhigang Zhou The fencing problem and Coleochaete cell
division . . . . . . . . . . . . . . . . 893--912
Ori Sargsyan An analytical framework in the general
coalescent tree setting for analyzing
polymorphisms created by two mutations 913--956
Adrien Richard and
Jean-Paul Comet Erratum to: Stable periodicity and
negative circuits in differential
systems . . . . . . . . . . . . . . . . 957--958
Frédéric Grognard and
Pierre Masci and
Eric Beno\^\it and
Olivier Bernard Competition between phytoplankton and
bacteria: exclusion and coexistence . . 959--1006
Thomas House For principled model fitting in
mathematical biology . . . . . . . . . . 1007--1013
Chris Guiver and
Hartmut Logemann and
Richard Rebarber and
Adam Bill and
Brigitte Tenhumberg and
Dave Hodgson and
Stuart Townley Integral control for population
management . . . . . . . . . . . . . . . 1015--1063
Joseph H. Tien and
Zhisheng Shuai and
Marisa C. Eisenberg and
P. van den Driessche Disease invasion on community networks
with environmental pathogen movement . . 1065--1092
Éva Kisdi Construction of multiple trade-offs to
obtain arbitrary singularities of
adaptive dynamics . . . . . . . . . . . 1093--1117
Graham M. Donovan and
Thibaut Kritter Spatial pattern formation in the lung 1119--1149
Nathan Breitsch and
Gregory Moses and
Erik Boczko and
Todd Young Cell cycle dynamics: clustering is
universal in negative feedback systems 1151--1175
Nancy Rodríguez On an integro-differential model for
pest control in a heterogeneous
environment . . . . . . . . . . . . . . 1177--1206
Raazesh Sainudiin and
Tanja Stadler and
Amandine Véber Finding the best resolution for the
Kingman--Tajima coalescent: theory and
applications . . . . . . . . . . . . . . 1207--1247
Richard A. Cangelosi and
David J. Wollkind and
Bonni J. Kealy-Dichone and
Inthira Chaiya Nonlinear stability analyses of Turing
patterns for a mussel-algae model . . . 1249--1294
Ryszard Rudnicki and
Pawel Zwole\'nski Model of phenotypic evolution in
hermaphroditic populations . . . . . . . 1295--1321
Hans Van Oosterwyck Computational mechanobiology: may the
force be with you . . . . . . . . . . . 1323--1326
Luis Martínez and
Martin Milanic and
Leire Legarreta and
Paul Medvedev and
Iker Malaina and
Ildefonso M. de la Fuente A combinatorial approach to the design
of vaccines . . . . . . . . . . . . . . 1327--1358
Changwook Yoon and
Yong-Jung Kim Bacterial chemotaxis without
gradient-sensing . . . . . . . . . . . . 1359--1380
Daniel Maxin and
Ludek Berec and
Adrienna Bingham and
Denali Molitor and
Julie Pattyson Is more better? Higher sterilization of
infected hosts need not result in
reduced pest population size . . . . . . 1381--1409
Yukihiko Nakata and
Gergely Röst Global analysis for spread of infectious
diseases via transportation networks . . 1411--1456
I. G. Aviziotis and
M. E. Kavousanakis and
I. A. Bitsanis and
A. G. Boudouvis Coarse-grained analysis of
stochastically simulated cell
populations with a positive feedback
genetic network architecture . . . . . . 1457--1484
O. Hyrien and
S. A. Peslak and
N. M. Yanev and
J. Palis Stochastic modeling of stress
erythropoiesis using a two-type
age-dependent branching process with
immigration . . . . . . . . . . . . . . 1485--1521
Hildegard Uecker and
Derek Setter and
Joachim Hermisson Adaptive gene introgression after
secondary contact . . . . . . . . . . . 1523--1580
Calistus N. Ngonghala and
Miranda I. Teboh-Ewungkem and
Gideon A. Ngwa Persistent oscillations and backward
bifurcation in a malaria model with
varying human and mosquito populations:
implications for control . . . . . . . . 1581--1622
Elena Fimmel and
Simone Giannerini and
Diego Luis Gonzalez and
Lutz Strüngmann Circular codes, symmetries and
transformations . . . . . . . . . . . . 1623--1644
Gerardo Severino and
Daniel M. Tartakovsky A boundary-layer solution for flow at
the soil-root interface . . . . . . . . 1645--1668
Mercedes Pérez Millán and
Alicia Dickenstein Implicit dose-response curves . . . . . 1669--1684
Nathanael Hoze and
David Holcman Kinetics of aggregation with a finite
number of particles and application to
viral capsid assembly . . . . . . . . . 1685--1705
Ka Yin Leung and
Mirjam Kretzschmar and
Odo Diekmann SI infection on a dynamic partnership
network: characterization of $ R_0 $ . . 1--56
Pedro J. Torres Periodic oscillations of a model for
membrane permeability with fluctuating
environmental conditions . . . . . . . . 57--68
Alain Rapaport and
Ihab Haidar and
Jérôme Harmand Global dynamics of the buffered
chemostat for a general class of
response functions . . . . . . . . . . . 69--98
Sha Zhu and
Cuong Than and
Taoyang Wu Clades and clans: a comparison study of
two evolutionary models . . . . . . . . 99--124
Masataka Kuwamura Turing instabilities in prey-predator
systems with dormancy of predators . . . 125--149
Angela M. Jarrett and
Yaning Liu and
N. G. Cogan and
M. Yousuff Hussaini Global sensitivity analysis used to
interpret biological experimental
results . . . . . . . . . . . . . . . . 151--170
E. Di Costanzo and
R. Natalini and
L. Preziosi A hybrid mathematical model for
self-organizing cell migration in the
zebrafish lateral line . . . . . . . . . 171--214
Cameron J. Browne and
Robert J. Smith and
Lydia Bourouiba From regional pulse vaccination to
global disease eradication: insights
from a mathematical model of
poliomyelitis . . . . . . . . . . . . . 215--253
Zhisheng Shuai and
J. A. P. Heesterbeek and
P. van den Driessche Erratum to: Extending the type
reproduction number to infectious
disease control targeting contacts
between types . . . . . . . . . . . . . 255--257
O. Faugeras and
J. Inglis Stochastic neural field equations: a
rigorous footing . . . . . . . . . . . . 259--300
Lenka Pribylová and
Ludek Berec Predator interference and stability of
predator--prey dynamics . . . . . . . . 301--323
Steven N. Evans and
Alexandru Hening and
Sebastian J. Schreiber Protected polymorphisms and evolutionary
stability of patch-selection strategies
in stochastic environments . . . . . . . 325--359
C. Bruni and
F. Conte and
F. Papa and
C. Sinisgalli Optimal weekly scheduling in
fractionated radiotherapy: effect of an
upper bound on the dose fraction size 361--398
Wayne Croft and
Charles M. Elliott and
Graham Ladds and
Björn Stinner and
Chandrasekhar Venkataraman and
Cathryn Weston Parameter identification problems in the
modelling of cell motility . . . . . . . 399--436
Duarte Antunes and
Abhyudai Singh Quantifying gene expression variability
arising from randomness in cell division
times . . . . . . . . . . . . . . . . . 437--463
L. Roques and
Y. Hosono and
O. Bonnefon and
T. Boivin The effect of competition on the neutral
intraspecific diversity of invasive
species . . . . . . . . . . . . . . . . 465--489
Nicolas Bacaër On the stochastic SIS epidemic model in
a periodic environment . . . . . . . . . 491--511
Stanca M. Ciupe Mathematical model of multivalent
virus-antibody complex formation in
humans following acute and chronic HIV
infections . . . . . . . . . . . . . . . 513--532
Matthew E. Zumbrum and
David A. Edwards Conformal mapping in optical biosensor
applications . . . . . . . . . . . . . . 533--550
Christian Engwer and
Thomas Hillen and
Markus Knappitsch and
Christina Surulescu Glioma follow white matter tracts: a
multiscale DTI-based model . . . . . . . 551--582
Arni S. R. Srinivasa Rao and
James R. Carey Generalization of Carey's equality and a
theorem on stationary population . . . . 583--594
Ola Hössjer On the eigenvalue effective size of
structured populations . . . . . . . . . 595--646
H. F. Winstanley and
M. Chapwanya and
A. C. Fowler and
S. B. G. O'Brien A 2D channel-clogging biofilm model . . 647--668
Motohide Seki and
Tomohiko Yoshida and
Takenori Takada A general method for calculating the
optimal leaf longevity from the
viewpoint of carbon economy . . . . . . 669--690
Louise Dyson and
Ruth E. Baker The importance of volume exclusion in
modelling cellular migration . . . . . . 691--711
A. D. Barbour and
M. J. Luczak Individual and patch behaviour in
structured metapopulation models . . . . 713--733
Armando J. R. Amaris and
Murray P. Cox A flexible theoretical representation
for the temporal dynamics of structured
populations as paths on polytope
complexes . . . . . . . . . . . . . . . 735--766
Ayse Humeyra Bilge and
Funda Samanlioglu and
Onder Ergonul On the uniqueness of epidemic models
fitting a normalized curve of removed
individuals . . . . . . . . . . . . . . 767--794
Juliane Claus and
Mariya Ptashnyk and
Ansgar Bohmann and
Andrés Chavarría-Krauser Global Hopf bifurcation in the ZIP
regulatory system . . . . . . . . . . . 795--816
Kehinde R. Salau and
Eli P. Fenichel Bioeconomic analysis supports the
endangered species act . . . . . . . . . 817--846
Pietro-Luciano Buono and
Raluca Eftimie Symmetries and pattern formation in
hyperbolic versus parabolic models of
self-organised aggregation . . . . . . . 847--881
Zheng Sun and
Natalia L. Komarova Stochastic control of proliferation and
differentiation in stem cell dynamics 883--901
Hildur Æsa Oddsdóttir and
Erika Hagrot and
Véronique Chotteau and
Anders Forsgren On dynamically generating relevant
elementary flux modes in a metabolic
network using optimization . . . . . . . 903--920
M. Sturrock and
P. J. Murray and
A. Matzavinos and
M. A. J. Chaplain Mean field analysis of a spatial
stochastic model of a gene regulatory
network . . . . . . . . . . . . . . . . 921--959
Meili Li and
Junling Ma and
P. van den Driessche Model for disease dynamics of a
waterborne pathogen on a random network 961--977
Mark Broom and
Michal Johanis and
Jan Rychtár The effect of fight cost structure on
fighting behaviour . . . . . . . . . . . 979--996
Terence Harris and
Anna Q. Cai Red Queen dynamics in specific
predator--prey systems . . . . . . . . . 997--1016
Guihong Fan and
Horst R. Thieme and
Huaiping Zhu Delay differential systems for tick
population dynamics . . . . . . . . . . 1017--1048
Annachiara Colombi and
Marco Scianna and
Andrea Tosin Differentiated cell behavior: a
multiscale approach using measure theory 1049--1079
Adam Zienkiewicz and
David A. W. Barton and
Maurizio Porfiri and
Mario di Bernardo Data-driven stochastic modelling of
zebrafish locomotion . . . . . . . . . . 1081--1105
Florinda Capone and
Valentina De Cataldis and
Roberta De Luca Influence of diffusion on the stability
of equilibria in a reaction--diffusion
system modeling cholera dynamic . . . . 1107--1131
Michael Fuchs and
Emma Yu Jin Equality of Shapley value and fair
proportion index in phylogenetic trees 1133--1147
Sangeeta Bhatia and
Attila Egri-Nagy and
Andrew R. Francis Algebraic double cut and join . . . . . 1149--1178
Yao-ban Chan and
Vincent Ranwez and
Céline Scornavacca Exploring the space of gene/species
reconciliations with transfers . . . . . 1179--1209
Sylvain Billiard and
Régis Ferri\`ere and
Sylvie Méléard and
Viet Chi Tran Stochastic dynamics of adaptive trait
and neutral marker driven by
eco-evolutionary feedbacks . . . . . . . 1211--1242
Julien Arino and
Stéphanie Portet Epidemiological implications of mobility
between a large urban centre and smaller
satellite cities . . . . . . . . . . . . 1243--1265
Florinda Capone and
Valentina De Cataldis and
Roberta De Luca Erratum to: Influence of diffusion on
the stability of equilibria in a
reaction--diffusion system modeling
cholera dynamic . . . . . . . . . . . . 1267--1268
Hongying Shu and
Xi Hu and
Lin Wang and
James Watmough Delay induced stability switch,
multitype bistability and chaos in an
intraguild predation model . . . . . . . 1269--1298
Travis Monk and
Michael G. Paulin and
Peter Green Ecological constraints on the origin of
neurones . . . . . . . . . . . . . . . . 1299--1324
Alan J. Terry predator--prey models with component
Allee effect for predator reproduction 1325--1352
Ezgi C. Eren and
Ram Dixit and
Natarajan Gautam Stochastic models for plant microtubule
self-organization and structure . . . . 1353--1385
Nicolas Privault and
Stéphane Guindon Closed form modeling of evolutionary
rates by exponential Brownian
functionals . . . . . . . . . . . . . . 1387--1409
Ludovic Gouden\`ege and
Pierre-André Zitt A Wright--Fisher model with indirect
selection . . . . . . . . . . . . . . . 1411--1450
Alexander D. Chalmers and
Anna Cohen and
Christina A. Bursill and
Mary R. Myerscough Bifurcation and dynamics in a
mathematical model of early
atherosclerosis . . . . . . . . . . . . 1451--1480
A. D. Barbour and
R. McVinish and
P. K. Pollett Connecting deterministic and stochastic
metapopulation models . . . . . . . . . 1481--1504
Amira Kebir and
Nina H. Fefferman and
Slimane Ben Miled Understanding hermaphrodite species
through game theory . . . . . . . . . . 1505--1524
M. Umar Qureshi and
N. A. Hill A computational study of pressure wave
reflections in the pulmonary arteries 1525--1549
Mark Broom and
Charlotte Lafaye and
Karan Pattni and
Jan Rychtár A study of the dynamics of multi-player
games on small networks using
territorial interactions . . . . . . . . 1551--1574
B. W. Kooi Modelling the dynamics of traits
involved in fighting-predators-prey
system . . . . . . . . . . . . . . . . . 1575--1605
Yves Coudi\`ere and
Jacques Henry and
Simon Labarthe A two layers monodomain model of cardiac
electrophysiology of the atria . . . . . 1607--1641
Alessandro Margheri and
Carlota Rebelo and
M. Gabriela M. Gomes On the correlation between variance in
individual susceptibilities and
infection prevalence in populations . . 1643--1661
Stéphane Gaubert and
Thomas Lepoutre Discrete limit and monotonicity
properties of the Floquet eigenvalue in
an age structured cell division cycle
model . . . . . . . . . . . . . . . . . 1663--1703
Frank Ball and
Laurence Shaw Estimating the within-household
infection rate in emerging SIR epidemics
among a community of households . . . . 1705--1735
M. V. Barbarossa and
G. Röst Immuno-epidemiology of a population
structured by immune status: a
mathematical study of waning immunity
and immune system boosting . . . . . . . 1737--1770
Adam J. Kucharski and
Viggo Andreasen and
Julia R. Gog Capturing the dynamics of pathogens with
many strains . . . . . . . . . . . . . . 1--24
Jonathan R. Potts and
Mark A. Lewis Territorial pattern formation in the
absence of an attractive potential . . . 25--46
C. D. Greenman and
S. L. Cooke and
J. Marshall and
M. R. Stratton and
P. J. Campbell Modeling the evolution space of breakage
fusion bridge cycles with a stochastic
folding process . . . . . . . . . . . . 47--86
Nikola Popovi\'c and
Carsten Marr and
Peter S. Swain A geometric analysis of fast-slow models
for stochastic gene expression . . . . . 87--122
Pilar Guerrero and
Helen M. Byrne and
Philip K. Maini and
Tomás Alarcón From invasion to latency: intracellular
noise and cell motility as key controls
of the competition between
resource-limited cellular populations 123--156
Jaroslav Albert and
Marianne Rooman Probability distributions for multimeric
systems . . . . . . . . . . . . . . . . 157--169
Camille Coron Slow-fast stochastic diffusion dynamics
and quasi-stationarity for diploid
populations with varying size . . . . . 171--202
Alex McAvoy and
Christoph Hauert Structure coefficients and strategy
selection in multiplayer games . . . . . 203--238
Donald L. DeAngelis and
Wei-Ming Ni and
Bo Zhang Dispersal and spatial heterogeneity:
single species . . . . . . . . . . . . . 239--254
Martin Ritchie and
Luc Berthouze and
Istvan Z. Kiss Beyond clustering: mean-field dynamics
on networks with arbitrary subgraph
composition . . . . . . . . . . . . . . 255--281
Fabio A. C. C. Chalub and
Max O. Souza Fixation in large populations: a
continuous view of a discrete problem 283--330
Ji Hwan Cha and
Maxim Finkelstein On some mortality rate processes and
mortality deceleration with age . . . . 331--342
Yanyu Xiao and
Fred Brauer and
Seyed M. Moghadas Can treatment increase the epidemic
size? . . . . . . . . . . . . . . . . . 343--361
R. Sainudiin and
B. Thatte and
A. Véber Ancestries of a recombining diploid
population . . . . . . . . . . . . . . . 363--408
Amir Gholami and
Andreas Mang and
George Biros An inverse problem formulation for
parameter estimation of a
reaction--diffusion model of low grade
gliomas . . . . . . . . . . . . . . . . 409--433
Ferdinand Pfab and
Wilfried Gabriel and
Margarete Utz Reversible phenotypic plasticity with
continuous adaptation . . . . . . . . . 435--466
Matthew D. Johnston and
Casian Pantea and
Pete Donnell A computational approach to persistence,
permanence, and endotacticity of
biochemical reaction systems . . . . . . 467--498
Kun Gou and
Thomas J. Pence Hyperelastic modeling of swelling in
fibrous soft tissue with application to
tracheal angioedema . . . . . . . . . . 499--526
Emma Yu Jin and
Markus E. Nebel RNA secondary structures in a
polymer-zeta model how foldings should
be shaped for sparsification to
establish a linear speedup . . . . . . . 527--571
Manon Costa and
Céline Hauzy and
Nicolas Loeuille and
Sylvie Méléard Stochastic eco-evolutionary model of a
prey-predator community . . . . . . . . 573--622
Esther Ibáñez-Marcelo and
Tomás Alarcón Surviving evolutionary escape on complex
genotype-phenotype networks . . . . . . 623--647
A. Tosenberger and
F. Ataullakhanov and
N. Bessonov and
M. Panteleev and
A. Tokarev and
V. Volpert Modelling of platelet-fibrin clot
formation in flow with a DPD--PDE method 649--681
Alfonso Ruiz-Herrera Analysis of dispersal effects in
metapopulation models . . . . . . . . . 683--698
Katharina T. Huber and
Simone Linz and
Vincent Moulton and
Taoyang Wu Spaces of phylogenetic networks from
generalized nearest-neighbor interchange
operations . . . . . . . . . . . . . . . 699--725
Thomas Chartrand and
Gin McCollum and
Douglas A. Hanes and
Richard D. Boyle Symmetries of a generic utricular
projection: neural connectivity and the
distribution of utricular information 727--753
Rui Peng and
Xiao-Qiang Zhao A nonlocal and periodic
reaction--diffusion--advection model of
a single phytoplankton species . . . . . 755--791
Jukka Corander and
Odo Diekmann and
Timo Koski A tribute to Mats Gyllenberg, on the
occasion of his 60th birthday . . . . . 793--795
Kais Hamza and
Peter Jagers and
Fima C. Klebaner On the establishment, persistence, and
inevitable extinction of populations . . 797--820
Wen Jin and
Hal L. Smith and
Horst R. Thieme Persistence versus extinction for a
class of discrete-time structured
population models . . . . . . . . . . . 821--850
Olga Vasilyeva and
Frithjof Lutscher and
Mark Lewis Analysis of spread and persistence for
stream insects with winged adult stages 851--875
Odo Diekmann and
Philipp Getto and
Yukihiko Nakata On the characteristic equation $ \lambda
= \alpha_1 + (\alpha_2 + \alpha_3
\lambda) e^{- \lambda } $ and its use in
the context of a cell population model 877--908
Shinji Nakaoka and
Shingo Iwami and
Kei Sato Dynamics of HIV infection in lymphoid
tissue network . . . . . . . . . . . . . 909--938
Jifa Jiang and
Lei Niu and
Yi Wang On heteroclinic cycles of competitive
maps via carrying simplices . . . . . . 939--972
Yifan Yang and
Willi Jäger and
Maria Neuss-Radu and
Thomas Richter Mathematical modeling and simulation of
the evolution of plaques in blood
vessels . . . . . . . . . . . . . . . . 973--996
Jorge M. Pacheco and
Francisco C. Santos and
Simon A. Levin Evolutionary dynamics of collective
index insurance . . . . . . . . . . . . 997--1010
Johan A. J. Metz and
Stefan A. H. Geritz Frequency dependence 3.0: an attempt at
codifying the evolutionary ecology
perspective . . . . . . . . . . . . . . 1011--1037
Éva Kisdi and
Stefan A. H. Geritz Adaptive dynamics of saturated
polymorphisms . . . . . . . . . . . . . 1039--1079
Stefan A. H. Geritz and
Johan A. J. Metz and
Claus Rueffler Mutual invadability near evolutionarily
singular strategies for multivariate
traits, with special reference to the
strongly convergence stable case . . . . 1081--1099
Barbara Boldin and
Éva Kisdi Evolutionary suicide through a
non-catastrophic bifurcation: adaptive
dynamics of pathogens with
frequency-dependent transmission . . . . 1101--1124
Johan A. Jacob Metz and
Katerina Stanková and
Jacob Johansson The canonical equation of adaptive
dynamics for life histories: from
fitness-returns to selection gradients
and Pontryagin's maximum principle . . . 1125--1152
András Szabó-Solticzky and
Luc Berthouze and
Istvan Z. Kiss and
Péter L. Simon Oscillating epidemics in a dynamic
network model: stochastic and mean-field
analysis . . . . . . . . . . . . . . . . 1153--1176
Tanneke Ouboter and
Ronald Meester and
Pieter Trapman Stochastic SIR epidemics in a population
with households and schools . . . . . . 1177--1193
Razvan Romanescu and
Rob Deardon Modeling two strains of disease via
aggregate-level infectivity curves . . . 1195--1224
Chunmei Shi and
Lingling Zhao and
Junjie Wang and
Chiping Zhang and
Xiaohong Su and
Peijun Ma Micro-object motion tracking based on
the probability hypothesis density
particle tracker . . . . . . . . . . . . 1225--1254
Heinz Schättler and
Urszula Ledzewicz and
Behrooz Amini Dynamical properties of a minimally
parameterized mathematical model for
metronomic chemotherapy . . . . . . . . 1255--1280
G. J. Culos and
D. D. Olesky and
P. van den Driessche Using sign patterns to detect the
possibility of periodicity in biological
systems . . . . . . . . . . . . . . . . 1281--1300
H. Badri and
K. Pitter and
E. C. Holland and
F. Michor and
K. Leder Optimization of radiation dosing
schedules for proneural glioblastoma . . 1301--1336
Ilona Kosiuk and
Peter Szmolyan Geometric analysis of the Goldbeter
minimal model for the embryonic cell
cycle . . . . . . . . . . . . . . . . . 1337--1368
R. Durrett and
J. Foo and
K. Leder Spatial Moran models, II: cancer
initiation in spatially structured
tissue . . . . . . . . . . . . . . . . . 1369--1400
Sze-Bi Hsu and
Ya-Tang Yang Theory of a microfluidic serial dilution
bioreactor for growth of planktonic and
biofilm populations . . . . . . . . . . 1401--1427
Zengji Du and
Rui Peng A priori $ L^\infty $ estimates for
solutions of a class of
reaction--diffusion systems . . . . . . 1429--1439
Mostafa Bendahmane and
Ricardo Ruiz-Baier and
Canrong Tian Turing pattern dynamics and adaptive
discretization for a super-diffusive
Lotka--Volterra model . . . . . . . . . 1441--1465
Chris Guiver and
Markus Mueller and
Dave Hodgson and
Stuart Townley Robust set-point regulation for
ecological models with multiple
management goals . . . . . . . . . . . . 1467--1529
Jacques A. L. Silva Cluster formation in a heterogeneous
metapopulation model . . . . . . . . . . 1531--1553
Jason K. Davis and
Suzanne S. Sindi A mathematical model of the dynamics of
prion aggregates with chaperone-mediated
fragmentation . . . . . . . . . . . . . 1555--1578
Shawn D. Ryan A model for collective dynamics in ant
raids . . . . . . . . . . . . . . . . . 1579--1606
Emmanuel Bernuau and
Denis Efimov and
Wilfrid Perruquetti Scale invariance analysis for genetic
networks applying homogeneity . . . . . 1607--1632
Leonid Hanin and
Karen Seidel and
Dietrich Stoevesandt A ''universal'' model of metastatic
cancer, its parametric forms and their
identification: what can be learned from
site-specific volumes of metastases . . 1633--1662
Gail S. K. Wolkowicz and
Yuan Yuan Effect of light on the growth of
non-nitrogen-fixing and nitrogen-fixing
phytoplankton in an aquatic system . . . 1663--1692
Henri Berestycki and
Jérôme Coville and
Hoang-Hung Vo Persistence criteria for populations
with non-local dispersion . . . . . . . 1693--1745
Johannes W. R. Martini and
Luis Diambra and
Michael Habeck Cooperative binding: a multiple
personality . . . . . . . . . . . . . . 1747--1774
R. J. Dyson and
J. E. F. Green and
J. P. Whiteley and
H. M. Byrne An investigation of the influence of
extracellular matrix anisotropy and
cell--matrix interactions on tissue
architecture . . . . . . . . . . . . . . 1775--1809
Vincent Ranwez and
Celine Scornavacca and
Jean-Philippe Doyon and
Vincent Berry Inferring gene duplications, transfers
and losses can be done in a discrete
framework . . . . . . . . . . . . . . . 1811--1844
Hua Nie and
Sze-Bi Hsu and
J. P. Grover Algal competition in a water column with
excessive dioxide in the atmosphere . . 1845--1892
Qixuan Wang and
Hans G. Othmer Computational analysis of amoeboid
swimming at low Reynolds number . . . . 1893--1926
Giulia Giordano and
Christian Cuba Samaniego and
Elisa Franco and
Franco Blanchini Computing the structural influence
matrix for biological systems . . . . . 1927--1958
Paul A. Roberts and
Eamonn A. Gaffney and
Philip J. Luthert and
Alexander J. E. Foss and
Helen M. Byrne Retinal oxygen distribution and the role
of neuroglobin . . . . . . . . . . . . . 1--38
Alessandro Borri and
Simona Panunzi and
Andrea De Gaetano A glycemia-structured population model 39--62
J. H. P. Dawes and
J. L. M. Williams Localised pattern formation in a model
for dryland vegetation . . . . . . . . . 63--90
Antonis Economou and
Maria Jesus Lopez-Herrero The deterministic SIS epidemic model in
a Markovian random environment . . . . . 91--121
Michael Drmota and
Michael Fuchs and
Yi-Wen Lee Stochastic analysis of the extra
clustering model for animal grouping . . 123--159
Mareike Esser and
Sebastian Probst and
Ellen Baake Partitioning, duality, and linkage
disequilibria in the Moran model with
recombination . . . . . . . . . . . . . 161--197
Jonathan A. Sherratt When does colonisation of a semi-arid
hillslope generate vegetation patterns? 199--226
Paulo F. C. Tilles and
Sergei V. Petrovskii How animals move along? Exactly solvable
model of superdiffusive spread resulting
from animal's decision making . . . . . 227--255
Matthew Graham and
Thomas House Erratum to: Dynamics of stochastic
epidemics on heterogeneous networks . . 257--258
Peter D. Jarvis and
Jeremy G. Sumner Matrix group structure and Markov
invariants in the strand symmetric
phylogenetic substitution model . . . . 259--282
Magnus Bordewich and
Charles Semple Determining phylogenetic networks from
inter-taxa distances . . . . . . . . . . 283--303
Ramses Djidjou Demasse and
Jean-Jules Tewa and
Samuel Bowong and
Yves Emvudu Optimal control for an age-structured
model for the transmission of hepatitis
B . . . . . . . . . . . . . . . . . . . 305--333
Nathalie A. Vikulova and
Leonid B. Katsnelson and
Alexander G. Kursanov and
Olga Solovyova and
Vladimir S. Markhasin Mechano-electric feedback in
one-dimensional model of myocardium . . 335--366
Michael C. Mackey and
Marta Tyran-Kami\'nska The limiting dynamics of a bistable
molecular switch with and without noise 367--395
L. Roques and
E. Walker and
P. Franck and
S. Soubeyrand and
E. K. Klein Using genetic data to estimate diffusion
rates in heterogeneous landscapes . . . 397--422
J. Yang and
I. Kupka and
Z. Schuss and
D. Holcman Search for a small egg by spermatozoa in
restricted geometries . . . . . . . . . 423--446
Stefan Forcey and
Logan Keefe and
William Sands Facets of the balanced minimal evolution
polytope . . . . . . . . . . . . . . . . 447--468
M. Coloma and
J. D. Schaffer and
R. O. Carare and
P. R. Chiarot and
P. Huang Pulsations with reflected boundary
waves: a hydrodynamic reverse transport
mechanism for perivascular drainage in
the brain . . . . . . . . . . . . . . . 469--490
Tom S. Weber and
Le\"\ila Perié and
Ken R. Duffy Inferring average generation via
division-linked labeling . . . . . . . . 491--523
Xiaohui Wang and
Martin Golubitsky Singularity theory of fitness functions
under dimorphism equivalence . . . . . . 525--573
Sam Subbey and
Benjamin Planque and
Ulf Lindstròm Exploring stochasticity and imprecise
knowledge based on linear inequality
constraints . . . . . . . . . . . . . . 575--595
Meng Liu and
Chuanzhi Bai Analysis of a stochastic tri-trophic
food-chain model with harvesting . . . . 597--625
Cécile Delaporte and
Guillaume Achaz and
Amaury Lambert Mutational pattern of a sample from a
critical branching population . . . . . 627--664
Sanling Yuan and
P. van den Driessche and
Frederick H. Willeboordse and
Zhisheng Shuai and
Junling Ma Disease invasion risk in a growing
population . . . . . . . . . . . . . . . 665--681
Michael Bengfort and
Horst Malchow and
Frank M. Hilker The Fokker--Planck law of diffusion and
pattern formation in heterogeneous
environments . . . . . . . . . . . . . . 683--704
T. D. Montenegro-Johnson and
D. I. Baker and
D. J. Smith and
S. S. Lopes Three-dimensional flow in Kupffer's
Vesicle . . . . . . . . . . . . . . . . 705--725
V. Thalhofer and
M. Annunziato and
A. Borz\`\i Stochastic modelling and control of
antibiotic subtilin production . . . . . 727--749
Nyuk Sian Chong and
Benoit Dionne and
Robert Smith An avian-only Filippov model
incorporating culling of both
susceptible and infected birds in
combating avian influenza . . . . . . . 751--784
Nyuk Sian Chong and
Benoit Dionne and
Robert Smith Erratum to: An avian-only Filippov model
incorporating culling of both
susceptible and infected birds in
combating avian influenza . . . . . . . 785--786
Ada W. C. Yan and
Pengxing Cao and
James M. McCaw On the extinction probability in models
of within-host infection: the role of
latency and immunity . . . . . . . . . . 787--813
Ulrike E. Schlägel and
Mark A. Lewis A framework for analyzing the robustness
of movement models to variable step
discretization . . . . . . . . . . . . . 815--845
Nicolas Bacaër Le mod\`ele stochastique SIS pour une
épidémie dans un environnement aléatoire.
(French) [The SIS stochastic model for
an epidemic in a random environment] . . 847--866
U. Fory\'s and
M. Bodnar and
Y. Kogan Asymptotic dynamics of some $t$-periodic
one-dimensional model with application
to prostate cancer immunotherapy . . . . 867--883
Carly Rozins and
Troy Day Disease eradication on large industrial
farms . . . . . . . . . . . . . . . . . 885--902
Kalle Parvinen and
Anne Seppänen On fitness in metapopulations that are
both size- and stage-structured . . . . 903--917
Daniel Sánchez-Taltavull and
Arturo Vieiro and
Tomás Alarcón Stochastic modelling of the eradication
of the HIV-1 infection by stimulation of
latently infected cells in patients
under highly active anti-retroviral
therapy . . . . . . . . . . . . . . . . 919--946
Wenjing Zhang and
Lindi M. Wahl and
Pei Yu Backward bifurcations, turning points
and rich dynamics in simple disease
models . . . . . . . . . . . . . . . . . 947--976
Chuan Xue and
Xige Yang Moment-flux models for bacterial
chemotaxis in large signal gradients . . 977--1000
J.-E. Busse and
P. Gwiazda and
A. Marciniak-Czochra Mass concentration in a nonlocal model
of clonal selection . . . . . . . . . . 1001--1033
Sarthok Sircar and
Anthony J. Roberts Surface deformation and shear flow in
ligand mediated cell adhesion . . . . . 1035--1052
Changchuan Yin and
Jiasong Wang Periodic power spectrum with
applications in detection of latent
periodicities in DNA sequences . . . . . 1053--1079
Xingye Kan and
Chang Hyeong Lee and
Hans G. Othmer A multi-time-scale analysis of chemical
reaction networks: II. Stochastic
systems . . . . . . . . . . . . . . . . 1081--1129
Zachary T. McCleney and
Zachary P. Kilpatrick Entrainment in up and down states of
neural populations: non-smooth and
stochastic models . . . . . . . . . . . 1131--1160
Beno\^\it Perthame and
Min Tang and
Nicolas Vauchelet Derivation of the bacterial
run-and-tumble kinetic equation from a
model with biochemical pathway . . . . . 1161--1178
Xiaoying Wang and
Liana Zanette and
Xingfu Zou Modelling the fear effect in
predator--prey interactions . . . . . . 1179--1204
Claudia Menichini and
Xiao Yun Xu Mathematical modeling of thrombus
formation in idealized models of aortic
dissection: initial findings and
potential applications . . . . . . . . . 1205--1226
Junyuan Yang and
Yuming Chen and
Fei Xu Effect of infection age on an SIS
epidemic model on complex networks . . . 1227--1249
Lea Popovic and
Mariolys Rivas Topology and inference for Yule trees
with multiple states . . . . . . . . . . 1251--1291
Rui Gu and
Xiaoqiang Wang and
Max Gunzburger A two phase field model for tracking
vesicle--vesicle adhesion . . . . . . . 1293--1319
B. Ermentrout and
B. I. S. van der Ventel Rotating waves in simple scalar
excitable media: approximations and
numerical solutions . . . . . . . . . . 1321--1351
Pierre-Yves Boëlle and
Guy Thomas Resistance to antibiotics: limit
theorems for a stochastic SIS model
structured by level of resistance . . . 1353--1378
Martin Rasmussen and
Alan Hastings and
Matthew J. Smith and
Folashade B. Agusto and
Benito M. Chen-Charpentier and
Forrest M. Hoffman and
Jiang Jiang and
Katherine E. O. Todd-Brown and
Ying Wang and
Ying-Ping Wang and
Yiqi Luo Transit times and mean ages for
nonautonomous and autonomous
compartmental systems . . . . . . . . . 1379--1398
Hagai Abeliovich On Hill coefficients and subunit
interaction energies . . . . . . . . . . 1399--1411
G. Dumont and
J. Henry and
C. O. Tarniceriu Noisy threshold in neuronal models:
connections with the noisy leaky
integrate-and-fire model . . . . . . . . 1413--1436
Paulo Doutor and
Paula Rodrigues and
Maria do Céu Soares and
Fabio A. C. C. Chalub Optimal vaccination strategies and
rational behaviour in seasonal epidemics 1437--1465
K. W. Chung and
Roger Lui Dynamics of two-strain influenza model
with cross-immunity and no quarantine
class . . . . . . . . . . . . . . . . . 1467--1489
Roman V. Belavkin and
Alastair Channon and
Elizabeth Aston and
John Aston and
Rok Krasovec and
Christopher G. Knight Monotonicity of fitness landscapes and
mutation rate control . . . . . . . . . 1491--1524
Songnian Zhao and
Yan Kuang and
Chih-Hang Wu and
David Ben-Arieh and
Marcelo Ramalho-Ortigao and
Kaiming Bi Zoonotic visceral leishmaniasis
transmission: modeling, backward
bifurcation, and optimal control . . . . 1525--1560
Xiao-Long Peng and
Xin-Jian Xu and
Michael Small and
Xinchu Fu and
Zhen Jin Prevention of infectious diseases by
public vaccination and individual
protection . . . . . . . . . . . . . . . 1561--1594
Alberto Gandolfi and
Mimmo Iannelli and
Gabriela Marinoschi The steady state of epidermis:
mathematical modeling and numerical
simulations . . . . . . . . . . . . . . 1595--1626
Erwan Bigan and
Lo\"\ic Paulevé and
Jean-Marc Steyaert and
Stéphane Douady Necessary and sufficient conditions for
protocell growth . . . . . . . . . . . . 1627--1664
Irene Núñez Rodríguez and
Armando G. M. Neves Evolution of cooperation in a particular
case of the infinitely repeated
prisoner's dilemma with three strategies 1665--1690
Ulrike E. Schlägel and
Mark A. Lewis Robustness of movement models: can
models bridge the gap between temporal
scales of data sets and behavioural
processes? . . . . . . . . . . . . . . . 1691--1726
Manh Hong Duong and
The Anh Han Analysis of the expected density of
internal equilibria in random
evolutionary multi-player multi-strategy
games . . . . . . . . . . . . . . . . . 1727--1760
Katharina T. Huber and
Vincent Moulton and
Mike Steel and
Taoyang Wu Folding and unfolding phylogenetic trees
and networks . . . . . . . . . . . . . . 1761--1780
Fabien Campillo and
Nicolas Champagnat and
Coralie Fritsch Links between deterministic and
stochastic approaches for invasion in
growth--fragmentation--death models . . 1781--1821
Daniela Calvetti and
Yougan Cheng and
Erkki Somersalo Uncertainty quantification in flux
balance analysis of spatially lumped and
distributed models of neuron--astrocyte
metabolism . . . . . . . . . . . . . . . 1823--1849
S. Hirsch and
A. Manhart and
C. Schmeiser Mathematical modeling of \bionameMyosin
induced bistability of
\bionameLamellipodial fragments . . . . 1--22
German A. Enciso and
Shane Ryerson The effect of site-to-site variability
in ultrasensitive dose responses . . . . 23--41
Gennady P. Berman and
Alexander I. Nesterov and
Shmuel Gurvitz and
Richard T. Sayre Possible role of interference, protein
noise, and sink effects in
nonphotochemical quenching in
photosynthetic complexes . . . . . . . . 43--76
Manuel E. Lladser and
Joseph G. Azofeifa and
Mary A. Allen and
Robin D. Dowell RNA Pol II transcription model and
interpretation of GRO-seq data . . . . . 77--97
Mark Layer and
John A. Rhodes Phylogenetic trees and Euclidean
embeddings . . . . . . . . . . . . . . . 99--111
Annalisa Massaccesi and
Enrico Valdinoci Is a nonlocal diffusion strategy
convenient for biological populations in
competition? . . . . . . . . . . . . . . 113--147
Irene Paniello On evolution operators of genetic
coalgebras . . . . . . . . . . . . . . . 149--168
Angelika Manhart and
Christian Schmeiser Existence of and decay to equilibrium of
the filament end density along the
leading edge of the lamellipodium . . . 169--193
Meritxell Sáez and
Carsten Wiuf and
Elisenda Feliu Graphical reduction of reaction networks
by linear elimination of species . . . . 195--237
Magnus Bordewich and
Celine Scornavacca and
Nihan Tokac and
Mathias Weller On the fixed parameter tractability of
agreement-based phylogenetic distances 239--257
Harvey Thomas Banks and
Marie Doumic and
Carola Kruse A numerical scheme for the early steps
of nucleation--aggregation models . . . 259--287
Tak Fung and
James P. O'Dwyer and
Ryan A. Chisholm Species-abundance distributions under
colored environmental noise . . . . . . 289--311
Peinan Ge and
William J. Bottega and
Jonathan L. Prenner and
Howard F. Fine On the behavior of an eye encircled by a
scleral buckle . . . . . . . . . . . . . 313--332
S. Seirin Lee and
S. Tashiro and
A. Awazu and
R. Kobayashi A new application of the phase-field
method for understanding the mechanisms
of nuclear architecture reorganization 333--354
Cécile Ané and
Lam Si Tung Ho and
Sebastien Roch Phase transition on the convergence rate
of parameter estimation under an
Ornstein--Uhlenbeck diffusion on a tree 355--385
Martin Golubitsky and
Ian Stewart Homeostasis, singularities, and networks 387--407
Olga A. Nev and
Hugo A. van den Berg Variable-Internal-Stores models of
microbial growth and metabolism with
dynamic allocation of cellular resources 409--445
Graham Jones Algorithmic improvements to species
delimitation and phylogeny estimation
under the multispecies coalescent . . . 447--467
Aadil Lahrouz and
Adel Settati and
Abdelhadi Akharif Effects of stochastic perturbation on
the SIS epidemic system . . . . . . . . 469--498
Chai Molina and
David J. D. Earn Evolutionary stability in continuous
nonlinear public goods games . . . . . . 499--529
Olga A. Nev and
Hugo A. van den Berg Erratum to: Variable--Internal-Stores
models of microbial growth and
metabolism with dynamic allocation of
cellular resources . . . . . . . . . . . 531--531
Andreas Groh and
Holger Kohr and
Alfred K. Louis Numerical rate function determination in
partial differential equations modeling
cell population dynamics . . . . . . . . 533--565
Vincenzo Bonifaci A revised model of fluid transport
optimization in \bionamePhysarum
polycephalum . . . . . . . . . . . . . . 567--581
Anna Marciniak-Czochra and
Grzegorz Karch and
Kanako Suzuki Instability of Turing patterns in
reaction--diffusion-ODE systems . . . . 583--618
Ka Yin Leung and
Odo Diekmann Dangerous connections: on binding site
models of infectious disease dynamics 619--671
J. R. Artalejo and
A. Gómez-Corral and
M. López-García and
C. Molina-París Stochastic descriptors to study the fate
and potential of naive T cell clonotypes
in the periphery . . . . . . . . . . . . 673--708
Shodhan Rao Global stability of a class of futile
cycles . . . . . . . . . . . . . . . . . 709--726
J. C. Dallon and
Lynnae C. Despain and
Emily J. Evans and
Christopher P. Grant and
W. V. Smith A continuous-time model of centrally
coordinated motion with random switching 727--753
Jody R. Reimer and
Michael B. Bonsall and
Philip K. Maini The critical domain size of stochastic
population models . . . . . . . . . . . 755--782
A. Colombi and
M. Scianna and
L. Preziosi Coherent modelling switch between
pointwise and distributed
representations of cell aggregates . . . 783--808
Lisandro J. Fermín and
Jacques Lévy-Véhel Variability and singularity arising from
poor compliance in a pharmacokinetic
model II: the multi-oral case . . . . . 809--841
Svante Janson and
Malwina Luczak and
Peter Windridge and
Thomas House Near-critical SIR epidemic on a random
graph with given degrees . . . . . . . . 843--886
Michael Marcondes de Freitas and
Elisenda Feliu and
Carsten Wiuf Intermediates, catalysts, persistence,
and boundary steady states . . . . . . . 887--932
Vuk Milisic and
Gilles Wainrib Mathematical modeling of lymphocytes
selection in the germinal center . . . . 933--979
Jonathan Sarhad and
Scott Manifold and
Kurt E. Anderson Geometric indicators of population
persistence in branching
continuous-space networks . . . . . . . 981--1009
Sensen Liu and
ShiNung Ching Homeostatic dynamics, hysteresis and
synchronization in a low-dimensional
model of burst suppression . . . . . . . 1011--1035
Diego Avesani and
Michael Dumbser and
Gabriele Chiogna and
Alberto Bellin An alternative smooth particle
hydrodynamics formulation to simulate
chemotaxis in porous media . . . . . . . 1037--1058
Abdon Iniguez and
Jun Allard Spatial pattern formation in microtubule
post-translational modifications and the
tight localization of motor-driven cargo 1059--1080
Tsvetomir Tsachev and
Vladimir M. Veliov and
Andreas Widder Set-membership estimations for the
evolution of infectious diseases in
heterogeneous populations . . . . . . . 1081--1106
Marta Casanellas and
Mike Steel Phylogenetic mixtures and linear
invariants for equal input models . . . 1107--1138
Michael C. Mackey and
Marta Tyran-Kami\'nska and
Hans-Otto Walther Response of an oscillatory differential
delay equation to a single stimulus . . 1139--1196
Lee DeVille and
Meghan Galiardi Finite-size effects and switching times
for Moran process with mutation . . . . 1197--1222
Jifa Jiang and
Lei Niu On the equivalent classification of
three-dimensional competitive
Leslie/Gower models via the boundary
dynamics on the carrying simplex . . . . 1223--1261
Mengfeng Sun and
Haifeng Zhang and
Huiyan Kang and
Guanghu Zhu and
Xinchu Fu Epidemic spreading on adaptively
weighted scale-free networks . . . . . . 1263--1298
Eric Foxall and
Nicolas Lanchier Survival and extinction results for a
patch model with sexual reproduction . . 1299--1349
Ahmed Abdelrazec and
Abba B. Gumel Mathematical assessment of the role of
temperature and rainfall on mosquito
population dynamics . . . . . . . . . . 1351--1395
Li-Ming Cai and
Xue-Zhi Li and
Bin Fang and
Shigui Ruan Global properties of vector-host disease
models with time delays . . . . . . . . 1397--1423
V. Yatat and
P. Couteron and
J. J. Tewa and
S. Bowong and
Y. Dumont An impulsive modelling framework of fire
occurrence in a size-structured model of
tree-grass interactions for savanna
ecosystems . . . . . . . . . . . . . . . 1425--1482
Pavol Bokes and
Abhyudai Singh Gene expression noise is affected
differentially by feedback in burst
frequency and burst size . . . . . . . . 1483--1509
Giuseppe D'Onofrio and
Enrica Pirozzi Two-boundary first exit time of
Gauss--Markov processes for stochastic
modeling of acto-myosin dynamics . . . . 1511--1531
Alexander Pimenov and
Thomas C. Kelly and
Andrei Korobeinikov and
Michael J. O'Callaghan and
Dmitrii Rachinskii Memory and adaptive behavior in
population dynamics: anti-predator
behavior as a case study . . . . . . . . 1533--1559
Nicolas Bajeux and
Frédéric Grognard and
Ludovic Mailleret Augmentative biocontrol when natural
enemies are subject to Allee effects . . 1561--1587
Josep Sardanyés and
Regina Martínez and
Carles Simó and
Ricard Solé Abrupt transitions to tumor extinction:
a phenotypic quasispecies model . . . . 1589--1609
Andrew Hart and
Servet Martínez An entropy-based technique for
classifying bacterial chromosomes
according to synonymous codon usage . . 1611--1625
Calvin Zhang and
Timothy J. Lewis Robust phase-waves in chains of
half-center oscillators . . . . . . . . 1627--1656
Simona Mancini and
René-Marc M\`ege and
Benoit Sarels and
Pierre-Olivier Strale A phenomenological model of cell--cell
adhesion mediated by cadherins . . . . . 1657--1678
Melanie I. Stefan Cooperativity: a competition of
definitions . . . . . . . . . . . . . . 1679--1681
Kokouvi Gamado and
George Streftaris and
Stan Zachary Estimation of under-reporting in
epidemics using approximations . . . . . 1683--1707
Seong-Hun Paeng and
Jonggul Lee Continuous and discrete SIR-models with
spatial distributions . . . . . . . . . 1709--1727
Philippe Gambette and
K. T. Huber and
S. Kelk On the challenge of reconstructing
level-1 phylogenetic networks from
triplets and clusters . . . . . . . . . 1729--1751
Robert Rowthorn and
Selma Walther The optimal treatment of an infectious
disease with two strains . . . . . . . . 1753--1791
Thomas J. X. Li and
Christian M. Reidys Statistics of topological RNA structures 1793--1821
Daniël C. Koppenol and
Fred J. Vermolen and
Gabriela V. Koppenol-Gonzalez and
Frank B. Niessen and
Paul P. M. van Zuijlen and
Kees Vuik A mathematical model for the simulation
of the contraction of burns . . . . . . 1--31
Philip J. Aston and
Gianne Derks and
Balaji M. Agoram and
Piet H. van der Graaf A mathematical analysis of rebound in a
target-mediated drug disposition model:
II. With feedback . . . . . . . . . . . 33--84
Nicolas Bacaër Sur les processus linéaires de naissance
et de mort sous-critiques dans un
environnement aléatoire. (French) [On
subcritical linear birth and death
processes in a random environment] . . . 85--108
Jernej Rus Antiparallel $d$-stable traces and a
stronger version of ore problem . . . . 109--127
Lei Wang and
Xiao-Song Yang Topological horseshoe and its uniform
hyperbolicity in the HP model . . . . . 129--143
Rebecca Neukirch and
Anton Bovier Survival of a recessive allele in a
Mendelian diploid model . . . . . . . . 145--198
Marc Hellmuth and
Peter F. Stadler and
Nicolas Wieseke The mathematics of xenology:
di-cographs, symbolic ultrametrics,
$2$-structures and tree-representable
systems of binary relations . . . . . . 199--237
Xiao He and
Sining Zheng Protection zone in a diffusive
predator--prey model with
Beddington--DeAngelis functional
response . . . . . . . . . . . . . . . . 239--257
Odo Diekmann and
Mats Gyllenberg and
J. A. J. Metz and
Shinji Nakaoka and
André M. de Roos Erratum to: $ \varvec {Daphnia} $
revisited: local stability and
bifurcation theory for physiologically
structured population models explained
by way of an example . . . . . . . . . . 259--261
Olivier Gallinato and
Masahito Ohta and
Clair Poignard and
Takashi Suzuki Free boundary problem for cell
protrusion formations: theoretical and
numerical aspects . . . . . . . . . . . 263--307
Bryce Morsky and
Ross Cressman and
C. T. Bauch Homophilic replicator equations . . . . 309--325
Benjamin Armbruster and
Ekkehard Beck Elementary proof of convergence to the
mean-field model for the SIR process . . 327--339
Oluwole Olobatuyi and
Gerda de Vries and
Thomas Hillen A reaction--diffusion model for
radiation-induced bystander effects . . 341--372
M. C. Lombardo and
R. Barresi and
E. Bilotta and
F. Gargano and
P. Pantano and
M. Sammartino Demyelination patterns in a mathematical
model of multiple sclerosis . . . . . . 373--417
Valentina Clamer and
Andrea Pugliese and
Davide Liessi and
Dimitri Breda Host coexistence in a model for two
host-one parasitoid interactions . . . . 419--441
Keith Promislow and
Qiliang Wu Existence, bifurcation, and geometric
evolution of quasi-bilayers in the
multicomponent functionalized
Cahn--Hilliard equation . . . . . . . . 443--489
J. M. Cushing and
F. Martins and
A. A. Pinto and
Amy Veprauskas A bifurcation theorem for evolutionary
matrix models with multiple traits . . . 491--520
Nicolas P. Rebuli and
N. G. Bean and
J. V. Ross Hybrid Markov chain models of S-I-R
disease dynamics . . . . . . . . . . . . 521--541
Sten Madec and
Jérôme Casas and
Guy Barles and
Christelle Suppo Bistability induced by generalist
natural enemies can reverse pest
invasions . . . . . . . . . . . . . . . 543--575
Frank Ball and
Thomas House Heterogeneous network epidemics:
real-time growth, variance and
extinction of infection . . . . . . . . 577--619
József Z. Farkas and
Stephen A. Gourley and
Rongsong Liu and
Abdul-Aziz Yakubu Modelling \bionameWolbachia infection in
a sex-structured mosquito population
carrying West Nile virus . . . . . . . . 621--647
Ying Zhou and
William F. Fagan A discrete-time model for population
persistence in habitats with
time-varying sizes . . . . . . . . . . . 649--704
D. Iron and
J. Rumsey A model of cell surface receptor
aggregation . . . . . . . . . . . . . . 705--731
Apollos Besse and
Thomas Lepoutre and
Samuel Bernard Long-term treatment effects in chronic
myeloid leukemia . . . . . . . . . . . . 733--758
E. Lanzarone and
S. Pasquali and
G. Gilioli and
E. Marchesini A Bayesian estimation approach for the
mortality in a stage-structured
demographic model . . . . . . . . . . . 759--779
Anonymous In memoriam: [Karl Peter Hadeler
(16.10.1936--3.2.2017)] . . . . . . . . 781--781
Horst R. Thieme From homogeneous eigenvalue problems to
two-sex population dynamics . . . . . . 783--804
Bertrand Cloez and
Coralie Fritsch Gaussian approximations for chemostat
models in finite and infinite dimensions 805--843
Jacob Òstergaard and
Anders Rahbek and
Susanne Ditlevsen Oscillating systems with cointegrated
phase processes . . . . . . . . . . . . 845--883
Daniele Avitable and
Kyle C. A. Wedgwood Macroscopic coherent structures in a
stochastic neural network: from
interface dynamics to coarse-grained
bifurcation analysis . . . . . . . . . . 885--928
Pavel Drábek and
Peter Takác Convergence to travelling waves in
Fisher's population genetics model with
a non-Lipschitzian reaction term . . . . 929--972
Hao Ji and
Hans-Georg Müller and
Nikos T. Papadopoulos and
James R. Carey Quantifying functionals of age
distributions in the wild by solving an
operator equation . . . . . . . . . . . 973--984
Michelle Baker and
Bindi S. Brook and
Markus R. Owen Mathematical modelling of cytokines,
MMPs and fibronectin fragments in
osteoarthritic cartilage . . . . . . . . 985--1024
Cameron Browne Global properties of nested network
model with application to multi-epitope
HIV/CTL dynamics . . . . . . . . . . . . 1025--1046
Arnd Scheel and
Angela Stevens Wavenumber selection in coupled
transport equations . . . . . . . . . . 1047--1073
J. M. Nava-Sedeño and
H. Hatzikirou and
F. Peruani and
A. Deutsch Extracting cellular automaton rules from
physical Langevin equation models for
single and collective cell migration . . 1075--1100
Seongwon Lee and
Se-woong Kim and
Youngmin Oh and
Hyung Ju Hwang Mathematical modeling and its analysis
for instability of the immune system
induced by chemotaxis . . . . . . . . . 1101--1131
F. Meunier and
V. Couvreur and
X. Draye and
J. Vanderborght and
M. Javaux Towards quantitative root hydraulic
phenotyping: novel mathematical
functions to calculate plant-scale
hydraulic parameters from root system
functional and structural traits . . . . 1133--1170
Brooks Emerick and
Gilberto Schleiniger and
Bruce M. Boman A kinetic model to study the regulation
of $ \beta $-catenin, APC, and Axin in
the human colonic crypt . . . . . . . . 1171--1202
Hirokazu Ninomiya and
Yoshitaro Tanaka and
Hiroko Yamamoto Reaction, diffusion and non-local
interaction . . . . . . . . . . . . . . 1203--1233
Veronika Hajnová and
Lenka Pribylová Two-parameter bifurcations in LPA model 1235--1251
Renaud Dessalles and
Vincent Fromion and
Philippe Robert A stochastic analysis of autoregulation
of gene expression . . . . . . . . . . . 1253--1283
Christine Sample and
Benjamin Allen The limits of weak selection and large
population size in evolutionary game
theory . . . . . . . . . . . . . . . . . 1285--1317
Sophie Hautphenne and
Melanie Massaro and
Peter Taylor How old is this bird? The age
distribution under some phase sampling
schemes . . . . . . . . . . . . . . . . 1319--1347
Laurent Tournier and
Anne Goelzer and
Vincent Fromion Optimal resource allocation enables
mathematical exploration of microbial
metabolic configurations . . . . . . . . 1349--1380
Zhigui Lin and
Huaiping Zhu Spatial spreading model and dynamics of
West Nile virus in birds and mosquitoes
with free boundary . . . . . . . . . . . 1381--1409
Gabriel P. Langlois and
Morgan Craig and
Antony R. Humphries and
Michael C. Mackey and
Joseph M. Mahaffy and
Jacques Bélair and
Thibault Moulin and
Sean R. Sinclair and
Liangliang Wang Normal and pathological dynamics of
platelets in humans . . . . . . . . . . 1411--1462
Xiuli Cen and
Zhilan Feng and
Yiqiang Zheng and
Yulin Zhao Bifurcation analysis and global dynamics
of a mathematical model of antibiotic
resistance in hospitals . . . . . . . . 1463--1485
Xiao Zhao and
Stephan Noack and
Wolfgang Wiechert and
Eric von Lieres Dynamic flux balance analysis with
nonlinear objective function . . . . . . 1487--1515
Pia Domschke and
Dumitru Trucu and
Alf Gerisch and
Mark A. J. Chaplain Structured models of cell migration
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processes . . . . . . . . . . . . . . . 1517--1561
Robert R. Wilkinson and
Frank G. Ball and
Kieran J. Sharkey The relationships between message
passing, pairwise, Kermack--McKendrick
and stochastic SIR epidemic models . . . 1563--1590
F. M. G. Magpantay Vaccine impact in homogeneous and
age-structured models . . . . . . . . . 1591--1617
Jeremy G. Sumner and
Amelia Taylor and
Barbara R. Holland and
Peter D. Jarvis Developing a statistically powerful
measure for quartet tree inference using
phylogenetic identities and Markov
invariants . . . . . . . . . . . . . . . 1619--1654
Pablo G. Barrientos and
J. Ángel Rodríguez and
Alfonso Ruiz-Herrera Chaotic dynamics in the seasonally
forced SIR epidemic model . . . . . . . 1655--1668
Gabriel Cardona and
Joan Carles Pons Reconstruction of LGT networks from
tri-LGT-nets . . . . . . . . . . . . . . 1669--1692
Brittany Stephenson and
Cristina Lanzas and
Suzanne Lenhart and
Judy Day Optimal control of vaccination rate in
an epidemiological model of
\bionameClostridium difficile
transmission . . . . . . . . . . . . . . 1693--1713
U. A. Rozikov Tree-hierarchy of DNA and distribution
of Holliday junctions . . . . . . . . . 1715--1733
Fabio A. C. C. Chalub and
Max O. Souza On the stochastic evolution of finite
populations . . . . . . . . . . . . . . 1735--1774
Sze-Bi Hsu and
King-Yeung Lam and
Feng-Bin Wang Single species growth consuming
inorganic carbon with internal storage
in a poorly mixed habitat . . . . . . . 1775--1825
K. T. Huber and
V. Moulton and
M. Steel Minimum triplet covers of binary
phylogenetic $X$-trees . . . . . . . . . 1827--1840
Timothy Chumley and
Ozgur Aydogmus and
Anastasios Matzavinos and
Alexander Roitershtein Moran-type bounds for the fixation
probability in a frequency-dependent
Wright--Fisher model . . . . . . . . . . 1--35
Dan Wilson and
Bard Ermentrout Greater accuracy and broadened
applicability of phase reduction using
isostable coordinates . . . . . . . . . 37--66
José A. Cuesta and
Gustav W. Delius and
Richard Law Sheldon spectrum and the plankton
paradox: two sides of the same coin ---
a trait-based plankton size-spectrum
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Kuan-Wei Chen and
Kang-Ling Liao and
Chih-Wen Shih The kinetics in mathematical models on
segmentation clock genes in zebrafish 97--150
Martin Pontz and
Josef Hofbauer and
Reinhard Bürger Evolutionary dynamics in the two-locus
two-allele model with weak selection . . 151--203
Sebastien Motsch and
Diane Peurichard From short-range repulsion to Hele--Shaw
problem in a model of tumor growth . . . 205--234
Bo Zheng and
Moxun Tang and
Jianshe Yu and
Junxiong Qiu \bionameWolbachia spreading dynamics in
mosquitoes with imperfect maternal
transmission . . . . . . . . . . . . . . 235--263
Abid Ali Lashari and
Pieter Trapman Branching process approach for epidemics
in dynamic partnership network . . . . . 265--294
Donald A. Dawson Multilevel mutation--selection systems
and set-valued duals . . . . . . . . . . 295--378
Hamadjam Abboubakar and
Jean Claude Kamgang and
Leontine Nkague Nkamba and
Daniel Tieudjo Bifurcation thresholds and optimal
control in transmission dynamics of
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Andreas Buttenschön and
Thomas Hillen and
Alf Gerisch and
Kevin J. Painter A space-jump derivation for non-local
models of cell-cell adhesion and
non-local chemotaxis . . . . . . . . . . 429--456
Mark Broom and
Michal Johanis and
Jan Rychtár The effect of fight cost structure on
fighting behaviour involving
simultaneous decisions and variable
investment levels . . . . . . . . . . . 457--482
Frank Ball and
David Sirl Evaluation of vaccination strategies for
SIR epidemics on random networks
incorporating household structure . . . 483--530
Danielle Hilhorst and
Yong-Jung Kim and
Dohyun Kwon and
Thanh Nam Nguyen Dispersal towards food: the singular
limit of an Allen--Cahn equation . . . . 531--565
Vincent Renault and
Mich\`ele Thieullen and
Emmanuel Trélat Minimal time spiking in various
ChR2-controlled neuron models . . . . . 567--608
Jude D. Kong and
Paul Salceanu and
Hao Wang A stoichiometric organic matter
decomposition model in a chemostat
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Chai Molina and
David J. D. Earn On selection in finite populations . . . 645--678
Pavel Chigansky and
Peter Jagers and
Fima C. Klebaner What can be observed in real time PCR
and when does it show? . . . . . . . . . 679--695
Alexandru Hening and
Dang H. Nguyen and
George Yin Stochastic population growth in
spatially heterogeneous environments:
the density-dependent case . . . . . . . 697--754
Neil Sherborne and
Joel C. Miller and
Konstantin B. Blyuss and
Istvan Z. Kiss Mean-field models for non-Markovian
epidemics on networks . . . . . . . . . 755--778
Ke Yan and
Ho-Lun Cheng and
Zhiwei Ji and
Xin Zhang and
Huijuan Lu Accelerating smooth molecular surface
calculation . . . . . . . . . . . . . . 779--793
Ryan M. Evans and
David A. Edwards Receptor heterogeneity in optical
biosensors . . . . . . . . . . . . . . . 795--816
P. J. García-Nieto and
E. García-Gonzalo and
J. R. Alonso Fernández and
C. Díaz Muñiz Predictive modelling of eutrophication
in the Pozón de la Dolores lake (Northern
Spain) by using an evolutionary support
vector machines approach . . . . . . . . 817--840
Wendi Bao and
Yihong Du and
Zhigui Lin and
Huaiping Zhu Free boundary models for mosquito range
movement driven by climate warming . . . 841--875
David Koslicki and
Mark Novak Exact probabilities for the
indeterminacy of complex networks as
perceived through press perturbations 877--909
Lam Si Tung Ho and
Jason Xu and
Forrest W. Crawford and
Vladimir N. Minin and
Marc A. Suchard Birth/birth-death processes and their
computable transition probabilities with
biological applications . . . . . . . . 911--944
M. R. Mattei and
L. Frunzo and
B. D'Acunto and
Y. Pechaud and
F. Pirozzi and
G. Esposito Continuum and discrete approach in
modeling biofilm development and
structure: a review . . . . . . . . . . 945--1003
Alejandra Christen and
M. Angélica Maulén-Yañez and
Eduardo González-Olivares and
Michel Curé Modeling a SI epidemic with stochastic
transmission: hyperbolic incidence rate 1005--1026
Winfried Just and
Joan Saldaña and
Ying Xin Oscillations in epidemic models with
spread of awareness . . . . . . . . . . 1027--1057
Paul Crewe and
Richard Gratwick and
Alan Grafen Defining fitness in an uncertain world 1059--1099
Alex Gavryushkin and
Chris Whidden and
Frederick A. Matsen IV The combinatorics of discrete
time-trees: theory and open problems . . 1101--1121
Edna Chilenje Manda and
Faraimunashe Chirove Modelling coupled within host and
population dynamics of $ R_5 $ and $ X_4
$ HIV infection . . . . . . . . . . . . 1123--1158
Jimin Zhang and
Junping Shi and
Xiaoyuan Chang A mathematical model of algae growth in
a pelagic-benthic coupled shallow
aquatic ecosystem . . . . . . . . . . . 1159--1193
Peter Clote and
Amir H. Bayegan RNA folding kinetics using Monte Carlo
and Gillespie algorithms . . . . . . . . 1195--1227
Andrew Francis and
Katharina T. Huber and
Vincent Moulton and
Taoyang Wu Bounds for phylogenetic network space
metrics . . . . . . . . . . . . . . . . 1229--1248
Pengfei Song and
Yanni Xiao Global Hopf bifurcation of a delayed
equation describing the lag effect of
media impact on the spread of infectious
disease . . . . . . . . . . . . . . . . 1249--1267
Pierre-Alexandre Bliman and
M. Soledad Aronna and
Flávio C. Coelho and
Moacyr A. H. B. da Silva Ensuring successful introduction of
\bionameWolbachia in natural populations
of \bionameAedes aegypti by means of
feedback control . . . . . . . . . . . . 1269--1300
Dejun Fan and
Pengmiao Hao and
Dongyan Sun Global stability of multi-group viral
models with general incidence functions 1301--1326
B. B. Cael and
Courtenay Strong A Laplacian characterization of
phytoplankton shape . . . . . . . . . . 1327--1338
Yu-Jhe Huang and
Jonq Juang and
Yu-Hao Liang and
Hsin-Yu Wang Global stability for epidemic models on
multiplex networks . . . . . . . . . . . 1339--1356
Benedetta Pellacci and
Gianmaria Verzini Best dispersal strategies in spatially
heterogeneous environments: optimization
of the principal eigenvalue for
indefinite fractional Neumann problems 1357--1386
Zhichun Yang and
Chuangxia Huang and
Xingfu Zou Effect of impulsive controls in a model
system for age-structured population
over a patchy environment . . . . . . . 1387--1419
Camille Coron and
Manon Costa and
Hél\`ene Leman and
Charline Smadi A stochastic model for speciation by
mating preferences . . . . . . . . . . . 1421--1463
Christoforos Hadjichrysanthou and
Mark Broom and
Jan Rychtár Models of kleptoparasitism on networks:
the effect of population structure on
food stealing behaviour . . . . . . . . 1465--1488
Grégoire Nadin and
Martin Strugarek and
Nicolas Vauchelet Hindrances to bistable front
propagation: application to
\bionameWolbachia invasion . . . . . . . 1489--1533
Matthew D. Johnston and
David F. Anderson and
Gheorghe Craciun and
Robert Brijder Conditions for extinction events in
chemical reaction networks with discrete
state spaces . . . . . . . . . . . . . . 1535--1558
David B. Damiano and
Melissa R. McGuirl A topological analysis of targeted
In-111 uptake in SPECT images of murine
tumors . . . . . . . . . . . . . . . . . 1559--1587
William F. Basener and
John C. Sanford The fundamental theorem of natural
selection with mutations . . . . . . . . 1589--1622
Marc Hellmuth and
Maribel Hernandez-Rosales and
Yangjing Long and
Peter F. Stadler Inferring phylogenetic trees from the
knowledge of rare evolutionary events 1623--1653
Elisa Sovrano A negative answer to a conjecture
arising in the study of
selection--migration models in
population genetics . . . . . . . . . . 1655--1672
Ben Lambert and
Adam L. MacLean and
Alexander G. Fletcher and
Alexander N. Combes and
Melissa H. Little and
Helen M. Byrne Bayesian inference of agent-based
models: a tool for studying kidney
branching morphogenesis . . . . . . . . 1673--1697
Qixuan Wang and
Hans G. Othmer Analysis of a model microswimmer with
applications to blebbing cells and
mini-robots . . . . . . . . . . . . . . 1699--1763
Simon Girel and
Fabien Crauste Existence and stability of periodic
solutions of an impulsive differential
equation and application to CD8 T-cell
differentiation . . . . . . . . . . . . 1765--1795
Brooks Emerick and
Gilberto Schleiniger and
Bruce M. Boman Multi-scale modeling of APC and $ \beta
$-catenin regulation in the human
colonic crypt . . . . . . . . . . . . . 1797--1830
Xinzhi Ren and
Yanni Tian and
Lili Liu and
Xianning Liu A reaction--diffusion within-host HIV
model with cell-to-cell transmission . . 1831--1872
Gunog Seo and
Gail S. K. Wolkowicz Sensitivity of the dynamics of the
general Rosenzweig--MacArthur model to
the mathematical form of the functional
response: a bifurcation theory approach 1873--1906
Doris E. Campo-Duarte and
Olga Vasilieva and
Daiver Cardona-Salgado and
Mikhail Svinin Optimal control approach for
establishing wMelPop \bionameWolbachia
infection among wild \bionameAedes
aegypti populations . . . . . . . . . . 1907--1950
József Garay and
Ross Cressman and
Tamás F. Móri and
Tamás Varga The ESS and replicator equation in
matrix games under time constraints . . 1951--1973
Bingtuan Li Multiple invasion speeds in a
two-species integro-difference
competition model . . . . . . . . . . . 1975--2009
Xiunan Wang and
Xiao-Qiang Zhao A climate-based malaria model with the
use of bed nets . . . . . . . . . . . . 1--25
Brian P. Yurk Homogenization analysis of invasion
dynamics in heterogeneous landscapes
with differential bias and motility . . 27--54
James Dowdall and
Victor LeBlanc and
Frithjof Lutscher Invasion pinning in a periodically
fragmented habitat . . . . . . . . . . . 55--78
Swati Patel and
Sebastian J. Schreiber Robust permanence for ecological
equations with internal and external
feedbacks . . . . . . . . . . . . . . . 79--105
Derdei Bichara and
Abderrahman Iggidr Multi-patch and multi-group epidemic
models: a new framework . . . . . . . . 107--134
Alexandru Hening and
Dang H. Nguyen Stochastic Lotka--Volterra food chains 135--163
Mohit P. Dalwadi and
John R. King and
Nigel P. Minton Multi-timescale analysis of a metabolic
network in synthetic biology: a kinetic
model for $3$-hydroxypropionic acid
production via beta-alanine . . . . . . 165--199
Zhenguo Bai and
Rui Peng and
Xiao-Qiang Zhao A reaction--diffusion malaria model with
seasonality and incubation period . . . 201--228
Sabin Lessard and
Cíntia Dalila Soares Frequency-dependent growth in
class-structured populations: continuous
dynamics in the limit of weak selection 229--259
Frits Veerman and
Carsten Marr and
Nikola Popovi\'c Time-dependent propagators for
stochastic models of gene expression: an
analytical method . . . . . . . . . . . 261--312
Sonja J. Prohaska and
Sarah J. Berkemer and
Fabian Gärtner and
Thomas Gatter and
Nancy Retzlaff and
Christian Höner zu Siederdissen and
Peter F. Stadler Expansion of gene clusters, circular
orders, and the shortest Hamiltonian
path problem . . . . . . . . . . . . . . 313--341
Isam Al-Darabsah and
Yuan Yuan A periodic disease transmission model
with asymptomatic carriage and latency
periods . . . . . . . . . . . . . . . . 343--376
Matthias Reis and
Justus A. Kromer and
Edda Klipp General solution of the chemical master
equation and modality of marginal
distributions for hierarchic first-order
reaction networks . . . . . . . . . . . 377--419
Eduard Rohan and
Vladimír Lukes and
Alena Jonásová Modeling of the contrast-enhanced
perfusion test in liver based on the
multi-compartment flow in porous media 421--454
Graham Brightwell and
Thomas House and
Malwina Luczak Extinction times in the subcritical
stochastic SIS logistic epidemic . . . . 455--493
Scott D. Peckham and
Edward C. Waymire and
Patrick De Leenheer Critical thresholds for eventual
extinction in randomly disturbed
population growth models . . . . . . . . 495--525
Magnus Bordewich and
Ina Maria Deutschmann and
Mareike Fischer and
Elisa Kasbohm and
Charles Semple and
Mike Steel On the information content of discrete
phylogenetic characters . . . . . . . . 527--544
Damian Clancy Persistence time of SIS infections in
heterogeneous populations and networks 545--570
Magnus Bordewich and
Katharina T. Huber and
Vincent Moulton and
Charles Semple Recovering normal networks from shortest
inter-taxa distance information . . . . 571--594
Hao Wu and
Marco Avila Ponce de León and
Hans G. Othmer Getting in shape and swimming: the role
of cortical forces and membrane
heterogeneity in eukaryotic cells . . . 595--626
Maria Kleshnina and
Jerzy A. Filar and
Vladimir Ejov and
Jody C. McKerral Evolutionary games under incompetence 627--646
J. Mushanyu and
F. Nyabadza and
G. Muchatibaya and
P. Mafuta and
G. Nhawu Assessing the potential impact of
limited public health resources on the
spread and control of typhoid . . . . . 647--670
Kara Pham and
Emma Turian and
Kai Liu and
Shuwang Li and
John Lowengrub Nonlinear studies of tumor morphological
stability using a two-fluid flow model 671--709
Alan J. Aw and
Noah A. Rosenberg Bounding measures of genetic similarity
and diversity using majorization . . . . 711--737
Lukas Eigentler and
Jonathan A. Sherratt Analysis of a model for banded
vegetation patterns in semi-arid
environments with nonlocal dispersal . . 739--763
A. D. Barbour and
R. McVinish and
P. K. Pollett Local approximation of a
metapopulation's equilibrium . . . . . . 765--793
Ellen Baake and
Fernando Cordero and
Sebastian Hummel A probabilistic view on the
deterministic mutation--selection
equation: dynamics, equilibria, and
ancestry via individual lines of descent 795--820
Lida I. Michalaki and
Dimitris A. Goussis Asymptotic analysis of a TMDD model:
when a reaction contributes to the
destruction of its product . . . . . . . 821--855
Steffen E. Eikenberry and
Abba B. Gumel Mathematical modeling of climate change
and malaria transmission dynamics: a
historical review . . . . . . . . . . . 857--933
Jason McClelland and
David Koslicki EMDUniFrac: exact linear time
computation of the UniFrac metric and
identification of differentially
abundant organisms . . . . . . . . . . . 935--949
Caitlin Lienkaemper and
Lisa Lamberti and
James Drain and
Niko Beerenwinkel and
Alex Gavryushkin The geometry of partial fitness orders
and an efficient method for detecting
genetic interactions . . . . . . . . . . 951--970
Anton Bovier and
Loren Coquille and
Rebecca Neukirch The recovery of a recessive allele in a
Mendelian diploid model . . . . . . . . 971--1033
Alexis Erich S. Almocera and
Van Kinh Nguyen and
Esteban A. Hernandez-Vargas Multiscale model within-host and
between-host for viral infectious
diseases . . . . . . . . . . . . . . . . 1035--1057
Andrey Garnaev and
Wade Trappe A bargaining approach for resolving the
tradeoff between beneficial and harmful
drug responses . . . . . . . . . . . . . 1059--1072
Thierry Colin and
Guillaume Dechristé and
Jérôme Fehrenbach and
Ludivine Guillaume and
Valérie Lobjois and
Clair Poignard Experimental estimation of stored stress
within spherical microtissues . . . . . 1073--1092
Lulu Wang and
Zhen Jin and
Hao Wang A switching model for the impact of
toxins on the spread of infectious
diseases . . . . . . . . . . . . . . . . 1093--1115
Jinxian Li and
Jing Wang and
Zhen Jin SIR dynamics in random networks with
communities . . . . . . . . . . . . . . 1117--1151
Peter Czuppon and
Peter Pfaffelhuber Limits of noise for autoregulated gene
expression . . . . . . . . . . . . . . . 1153--1191
Todd L. Parsons Invasion probabilities, hitting times,
and some fluctuation theory for the
stochastic logistic process . . . . . . 1193--1231
Peter Czuppon and
Arne Traulsen Fixation probabilities in populations
under demographic fluctuations . . . . . 1233--1277
Vladimir Shchur and
Rasmus Nielsen On the number of siblings and $p$-th
cousins in a large population sample . . 1279--1298
Hisashi Inaba and
Ryohei Saito and
Nicolas Bacaër An age-structured epidemic model for the
demographic transition . . . . . . . . . 1299--1339
Soledad Berríos and
Julio López Fenner and
Aude Maignan Simulating aggregates of bivalents in $
2 n = 40 $ mouse meiotic spermatocytes
through inhomogeneous site percolation
processes . . . . . . . . . . . . . . . 1341--1362
Hideyasu Shimadzu On species richness and rarefaction:
size- and coverage-based techniques
quantify different characteristics of
richness change in biodiversity . . . . 1363--1381
Lorenzo Contento and
Danielle Hilhorst and
Masayasu Mimura Ecological invasion in
competition--diffusion systems when the
exotic species is either very strong or
very weak . . . . . . . . . . . . . . . 1383--1405
Jie Ma and
James P. Keener The computation of biomarkers in
pharmacokinetics with the aid of
singular perturbation methods . . . . . 1407--1430
Michael Kopp and
Elma Nassar and
Etienne Pardoux Phenotypic lag and population extinction
in the moving-optimum model: insights
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Manuela Geiß and
John Anders and
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Marc Hellmuth Reconstructing gene trees from Fitch's
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Takuji Oba and
Jun Kigami Why does invasion imply substitution?
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Helen Moore and
Lewis Strauss and
Urszula Ledzewicz Optimization of combination therapy for
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J. M. Jaramillo and
Junling Ma and
P. van den Driessche and
Sanling Yuan Host contact structure is important for
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Xiaoming Zheng and
Mohye Sweidan A mathematical model of angiogenesis and
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Odo Diekmann and
Klaus Dietz and
Thomas Hillen and
Horst Thieme Karl-Peter Hadeler: His legacy in
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Pierre Magal and
Glenn Webb The parameter identification problem for
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Mark A. Lewis and
Nathan G. Marculis and
Zhongwei Shen Integrodifference equations in the
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J. M. Cushing and
Shandelle M. Henson Periodic matrix models for seasonal
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Samara Pillay and
Helen M. Byrne and
Philip K. Maini The impact of exclusion processes on
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Matthieu Alfaro and
Hirofumi Izuhara and
Masayasu Mimura On a nonlocal system for vegetation in
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Gayane Poghotanyan and
Zhilan Feng and
John W. Glasser and
Andrew N. Hill Constrained minimization problems for
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Cameron J. Browne and
Hal L. Smith Dynamics of virus and immune response in
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Lin Zhao and
Zhi-Cheng Wang and
Shigui Ruan Traveling wave solutions in a two-group
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C. M. Saad-Roy and
Junling Ma and
P. van den Driessche The effect of sexual transmission on
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S. Geritz and
M. Gyllenberg and
J. Toivonen Adaptive correlations between seed size
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Oluwole Olobatuyi and
Gerda de Vries and
Thomas Hillen Effects of G2-checkpoint dynamics on
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E. M. Rutter and
H. T. Banks and
K. B. Flores Estimating intratumoral heterogeneity
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O. Diekmann and
W. F. de Graaf and
M. E. E. Kretzschmar and
P. F. M. Teunis Waning and boosting: on the dynamics of
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Jane S. MacDonald and
Frithjof Lutscher Individual behavior at habitat edges may
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Andrea Pugliese and
Fabio Milner A structured population model with
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Alex P. Farrell and
James P. Collins and
Amy L. Greer and
Horst R. Thieme Do fatal infectious diseases eradicate
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François Bergeron and
Christophe Reutenauer Golden ratio and phyllotaxis, a clear
mathematical link . . . . . . . . . . . 1--19
Ibrahima Dione and
Nicolas Doyon and
Jean Deteix Sensitivity analysis of the Poisson
Nernst--Planck equations: a finite
element approximation for the sensitive
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Mohammed Helal and
Angélique Igel-Egalon and
Abdelkader Lakmeche and
Pauline Mazzocco and
Angélique Perrillat-Mercerot and
Laurent Pujo-Menjouet and
Human Rezaei and
Léon M. Tine Stability analysis of a steady state of
a model describing Alzheimer's disease
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Yao Li and
Logan Chariker and
Lai-Sang Young How well do reduced models capture the
dynamics in models of interacting
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Anica Hoppe and
Sonja Türpitz and
Mike Steel Species notions that combine
phylogenetic trees and phenotypic
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Zhuoqun Wang and
Rick Durrett Extrapolating weak selection in
evolutionary games . . . . . . . . . . . 135--154
Filippo Disanto and
Noah A. Rosenberg Enumeration of compact coalescent
histories for matching gene trees and
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Simona Grusea and
Willy Rodr\'ìguez and
Didier Pinchon and
Loun\`es Chikhi and
Simon Boitard and
Olivier Mazet Coalescence times for three genes
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A. Iggidr and
M. O. Souza State estimators for some
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Judith R. Miller Invasion waves and pinning in the
Kirkpatrick--Barton model of
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Alexandru Hening and
Dang H. Nguyen and
Sergiu C. Ungureanu and
Tak Kwong Wong Asymptotic harvesting of populations in
random environments . . . . . . . . . . 293--329
Manh Hong Duong and
Hoang Minh Tran and
The Anh Han On the distribution of the number of
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José A. Cañizo and
José A. Carrillo and
Manuel Pájaro Exponential equilibration of genetic
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Niclas Kruff and
Christian Lax and
Volkmar Liebscher and
Sebastian Walcher The Rosenzweig--MacArthur system via
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Li Ge and
Jiaguo Liu and
Yusen Zhang and
Matthias Dehmer Identifying anticancer peptides by using
a generalized chaos game representation 441--463
Paul Lemarre and
Laurent Pujo-Menjouet and
Suzanne S. Sindi Generalizing a mathematical model of
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Ariel Camacho and
Silvia Jerez Bone metastasis treatment modeling via
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Steven Kelk and
Fabio Pardi and
Celine Scornavacca and
Leo van Iersel Finding a most parsimonious or likely
tree in a network with respect to an
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Camille Coron and
Sylvie Méléard and
Denis Villemonais Impact of demography on
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Alexander Lange and
Robert Schwieger and
Julia Plöntzke and
Stefan Schäfer and
Susanna Röblitz Follicular competition in cows: the
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M. G. Roberts and
R. I. Hickson and
J. M. McCaw and
L. Talarmain A simple influenza model with
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Hadrien Oliveri and
Jan Traas and
Christophe Godin and
Olivier Ali Regulation of plant cell wall stiffness
by mechanical stress: a mesoscale
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Angelika Manhart Counter-propagating wave patterns in a
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Yuanshi Wang and
Hong Wu and
Donald L. DeAngelis Global dynamics of a
mutualism-competition model with one
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Xiaoying Wang and
Frithjof Lutscher Turing patterns in a predator--prey
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Chunhua Shan and
Qihua Huang Direct and indirect effects of toxins on
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Qingyang Luo A minimally parametrized branching
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Axel A. Almet and
Helen M. Byrne and
Philip K. Maini and
Derek E. Moulton Post-buckling behaviour of a growing
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Jamie J. R. Bennett and
Jonathan A. Sherratt Large scale patterns in mussel beds:
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Yuri S. Semenov and
Artem S. Novozhilov Generalized quasispecies model on finite
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Yue Ren and
Johannes W. R. Martini and
Jacinta Torres Decoupled molecules with binding
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Joan Carles Pons and
Charles Semple and
Mike Steel Tree-based networks: characterisations,
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Catheryn W. Gray and
Adelle C. F. Coster Crosstalk in transition: the
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Paulo Amorim and
Thierry Goudon and
Fernando Peruani An ant navigation model based on Weber's
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Ivan Yegorov and
Francis Mairet and
Hidde de Jong and
Jean-Luc Gouzé Optimal control of bacterial growth for
the maximization of metabolite
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Evandro P. de Souza and
Eliza M. Ferreira and
Armando G. M. Neves Fixation probabilities for the Moran
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Térence Bayen and
Pedro Gajardo On the steady state optimization of the
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Bruno Buonomo and
Piero Manfredi and
Alberto d'Onofrio Optimal time-profiles of public health
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Magalí Giaroli and
Frédéric Bihan and
Alicia Dickenstein Regions of multistationarity in cascades
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Benjamin Allen and
Alex McAvoy A mathematical formalism for natural
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Conrad J. Burden and
Robert C. Griffiths The stationary distribution of a sample
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K. J. Painter A stochastic model of corneal epithelium
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Steven M. Roper and
Lei Wang and
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Eva Stadler Eigensolutions and spectral analysis of
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Yang Kuang and
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Jianhong Wu and
Xiaotian Wu How ticks keep ticking in the adversity
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Balázs Bárány and
Gregory Moses and
Todd Young Instability of the steady state solution
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Aili Wang and
Yanni Xiao and
Robert Smith Using non-smooth models to determine
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Getachew K. Befekadu and
Quanyan Zhu Optimal control of diffusion processes
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J. V. Morais and
A. L. Custódio and
G. M. Marques Calibration of parameters in Dynamic
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Mojtaba Tefagh and
Stephen P. Boyd Quantitative flux coupling analysis . . 1459--1484
Yousef Alqawasmeh and
Frithjof Lutscher Persistence and spread of
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M. Kesmia and
S. Boughaba and
S. Jacquir Nonlinear dynamics of two-dimensional
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Xiao-Qiang Zhao A periodic SEIRS epidemic model with a
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Li Guan and
Dong Li and
Ke Wang and
Kun Zhao On a class of nonlocal SIR models . . . 1581--1604
Xiaoqing He and
King-Yeung Lam and
Yuan Lou and
Wei-Ming Ni Dynamics of a consumer-resource
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Daniel C. De Souza and
Michael C. Mackey Response of an oscillatory differential
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Ramón G. Plaza Derivation of a bacterial nutrient-taxis
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Michael T. Meehan and
Daniel G. Cocks and
Johannes Müller and
Emma S. McBryde Global stability properties of a class
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Maria Simonsen Speed and
David Joseph Balding and
Asger Hobolth A general framework for moment-based
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Mireille Bossy and
Joaquín Fontbona and
Héctor Olivero Synchronization of stochastic mean field
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Klodeta Kura and
Doran Khamis and
Claire El Mouden and
Michael B. Bonsall Optimal control for disease vector
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Gerold Alsmeyer and
Kilian Raschel The extinction problem for a distylous
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Frank Ball and
Tom Britton and
Ka Yin Leung and
David Sirl A stochastic SIR network epidemic model
with preventive dropping of edges . . . 1875--1951
Lina Herbst and
Heyang Li and
Mike Steel Quantifying the accuracy of ancestral
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Damir Hasi\'c and
Eric Tannier Gene tree species tree reconciliation
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Manuela Geiß and
Edgar Chávez and
Marcos González Laffitte and
Alitzel López Sánchez and
Bärbel M. R. Stadler and
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Marc Hellmuth and
Maribel Hernández Rosales and
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K. Kaouri and
P. K. Maini and
P. A. Skourides and
N. Christodoulou and
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Yan Wang and
Junping Shi and
Jinfeng Wang Persistence and extinction of population
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Wonhyung Choi and
Seunghyeon Baek and
Inkyung Ahn Intraguild predation with evolutionary
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Bertram Düring and
Carsten Gottschlich and
Stephan Huckemann and
Lisa Maria Kreusser and
Carola-Bibiane Schönlieb An anisotropic interaction model for
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A. Oelker and
T. Horger and
C. Kuttler From \bionameStaphylococcus aureus gene
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Jorge Duarte and
Cristina Januário and
Nuno Martins and
Svitlana Rogovchenko and
Yuriy Rogovchenko Chaos analysis and explicit series
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Yijun Lou and
Kaihui Liu and
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Shigui Ruan Modelling diapause in mosquito
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Adam A. Malik and
Philip Gerlee Mathematical modelling of cell
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Mark A. Lewis and
Zhisheng Shuai and
P. van den Driessche A general theory for target reproduction
numbers with applications to ecology and
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Jonathan Tyler and
Anne Shiu and
Jay Walton Revisiting a synthetic intracellular
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Pieter Trapman SIR epidemics and vaccination on random
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Richard C. Tillquist and
Manuel E. Lladser Low-dimensional representation of
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Pierre Montagnon A stochastic SIR model on a graph with
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Olga Vasilyeva Population dynamics in river networks:
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Daniel B. Cooney The replicator dynamics for multilevel
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J. Cartailler and
D. Holcman Steady-state voltage distribution in
three-dimensional cusp-shaped funnels
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Kristian Uldall Kristiansen Geometric singular perturbation analysis
of a dynamical target mediated drug
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Flavia Esposito and
Nicolas Gillis and
Nicoletta Del Buono Orthogonal joint sparse NMF for
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Stefan Ruschel and
Tiago Pereira and
Serhiy Yanchuk and
Lai-Sang Young An SIQ delay differential equations
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Philipp Getto and
Mats Gyllenberg and
Yukihiko Nakata and
Francesca Scarabel Stability analysis of a state-dependent
delay differential equation for cell
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Hayato Kato and
Takenori Takada Stability and bifurcation analysis of a
ratio-dependent community dynamics model
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Jochen Blath and
Eugenio Buzzoni and
Adrián González Casanova and
Maite Wilke Berenguer Structural properties of the seed bank
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Michel Bena\"\im and
Sebastian J. Schreiber Persistence and extinction for
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internal and external variables . . . . 393--431
Zhiguo Wang and
Hua Nie and
Yihong Du Spreading speed for a West Nile virus
model with free boundary . . . . . . . . 433--466
Gilberto González-Parra and
Hana M. Dobrovolny The rate of viral transfer between upper
and lower respiratory tracts determines
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Miraine Dávila Felipe and
Jean-Baka Domelevo Entfellner and
Frédéric Lemoine and
Jakub Truszkowski and
Olivier Gascuel Distribution and asymptotic behavior of
the phylogenetic transfer distance . . . 485--508
Marius E. Yamakou and
Tat Dat Tran and
Luu Hoang Duc and
Jürgen Jost The stochastic Fitzhugh--Nagumo neuron
model in the excitable regime embeds a
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Alexandru Hening and
Ky Quan Tran and
Tien Trong Phan and
George Yin Harvesting of interacting stochastic
populations . . . . . . . . . . . . . . 533--570
Jun Allard and
Marie Doumic and
Alex Mogilner and
Dietmar Oelz Bidirectional sliding of two parallel
microtubules generated by multiple
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J. P. Ward and
S. J. Franks and
M. J. Tindall and
J. R. King and
A. Curtis and
G. S. Evans Mathematical modelling of contact
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Tania Hazra and
Sheik Ahmed Ullah and
Siwen Wang and
Emil Alexov and
Shan Zhao A super-Gaussian Poisson--Boltzmann
model for electrostatic free energy
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Gianfelice Meli and
Tom S. Weber and
Ken R. Duffy Sample path properties of the average
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Anna Mummert and
Olusegun M. Otunuga Parameter identification for a
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Hisashi Inaba The basic reproduction number $ R_0 $ in
time-heterogeneous environments . . . . 731--764
Candy Abboud and
Olivier Bonnefon and
Eric Parent and
Samuel Soubeyrand Dating and localizing an invasion from
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Thomas J. X. Li and
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Christian M. Reidys The block spectrum of RNA pseudoknot
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Luc Berthouze and
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István Z. Kiss Epidemic threshold in pairwise models
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Holger Eble and
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William B. Ludington Cluster partitions and fitness
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Sylvie Méléard and
Michael Rera and
Tristan Roget A birth-death model of ageing: from
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Shashank Subramanian and
Amir Gholami and
George Biros Simulation of glioblastoma growth using
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Marc Hellmuth and
Carsten R. Seemann Alternative characterizations of Fitch's
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Nakeya D. Williams and
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Steven Gilmore and
Pierre Gremaud and
Hien T. Tran and
Johnny T. Ottesen and
Jesper Mehlsen and
Mette S. Olufsen Cardiovascular dynamics during head-up
tilt assessed via pulsatile and
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Reem M. Almarashi and
C. Connell McCluskey The effect of immigration of infectives
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D. Franco and
C. Guiver and
H. Logemann and
J. Perán Boundedness, persistence and stability
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Tiago Yuzo Miyaoka and
Suzanne Lenhart and
João F. C. A. Meyer Optimal control of vaccination in a
vector-borne reaction--diffusion model
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Tomás M. Coronado and
Arnau Mir and
Francesc Rosselló and
Gabriel Valiente A balance index for phylogenetic trees
based on rooted quartets . . . . . . . . 1105--1148
T. Calamoneri and
A. Monti and
B. Sinaimeri Co-divergence and tree topology . . . . 1149--1167
Yao Li and
Hui Xu Stochastic neural field model: multiple
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Filippo Disanto and
Pasquale Miglionico and
Guido Narduzzi On the unranked topology of maximally
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Christian Kuehn and
Jonas M. Tölle A gradient flow formulation for the
stochastic Amari neural field model . . 1227--1252
David F. Anderson and
Daniele Cappelletti Discrepancies between extinction events
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Huicong Li and
Rui Peng Dynamics and asymptotic profiles of
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Chenwei Tian and
Qingyan Shi and
Xinping Cui and
Jingzhe Guo and
Zhenbiao Yang and
Junping Shi Spatiotemporal dynamics of a
reaction-diffusion model of pollen tube
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Elio Espejo and
Karina Vilches and
Carlos Conca A simultaneous blow-up problem arising
in tumor modeling . . . . . . . . . . . 1357--1399
A. S. Zadorin and
Y. Rondelez Natural selection in compartmentalized
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Rachidi B. Salako and
Wenxian Shen and
Shuwen Xue Can chemotaxis speed up or slow down the
spatial spreading in parabolic-elliptic
Keller--Segel systems with logistic
source? . . . . . . . . . . . . . . . . 1455--1490
Ying Xin and
David Gerberry and
Winfried Just Open-minded imitation can achieve
near-optimal vaccination coverage . . . 1491--1514
Nida Obatake and
Anne Shiu and
Xiaoxian Tang and
Angélica Torres Oscillations and bistability in a model
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Meena Pargaei and
B. V. Rathish Kumar and
Luca F. Pavarino Modeling and simulation of cardiac
electric activity in a human cardiac
tissue with multiple ischemic zones . . 1551--1586
Tommaso Lorenzi and
Anna Marciniak-Czochra and
Thomas Stiehl A structured population model of clonal
selection in acute leukemias with
multiple maturation stages . . . . . . . 1587--1621
Péter L. Erd\Hos and
Leo van Iersel and
Mark Jones Not all phylogenetic networks are
leaf-reconstructible . . . . . . . . . . 1623--1638
Fioralba Ajazi and
Valérie Chavez-Demoulin and
Tatyana Turova Networks of random trees as a model of
neuronal connectivity . . . . . . . . . 1639--1663
Christ\`ele Etchegaray and
Nicolas Meunier A stochastic model for cell adhesion to
the vascular wall . . . . . . . . . . . 1665--1697
Anna Kraut and
Anton Bovier From adaptive dynamics to adaptive walks 1699--1747
Annika Röhl and
Alexander Bockmayr Finding MEMo: minimum sets of elementary
flux modes . . . . . . . . . . . . . . . 1749--1777
Vikram Sunkara Algebraic expressions of conditional
expectations in gene regulatory networks 1779--1829
Paul J. Hurtado and
Adam S. Kirosingh Generalizations of the `Linear Chain
Trick': incorporating more flexible
dwell time distributions into mean field
ODE models . . . . . . . . . . . . . . . 1831--1883
Marc Hellmuth and
Katharina T. Huber and
Vincent Moulton Reconciling event-labeled gene trees
with MUL-trees and species networks . . 1885--1925
Frank M. Hilker and
Eduardo Liz Proportional threshold harvesting in
discrete-time population models . . . . 1927--1951
Andreas Buttenschön and
Leah Edelstein-Keshet Correlated random walks inside a cell:
actin branching and microtubule dynamics 1953--1972
Arnaud Z. Dragicevic Conditional rehabilitation of
cooperation under strategic uncertainty 1973--2003
M. P. Machado Ramos and
C. Ribeiro and
A. J. Soares A kinetic model of T cell autoreactivity
in autoimmune diseases . . . . . . . . . 2005--2031
Karl Kunisch and
Aurel Neic and
Gernot Plank and
Philip Trautmann Inverse localization of earliest cardiac
activation sites from activation maps
based on the viscous Eikonal equation 2033--2068
Cíntia Dalila Soares and
Sabin Lessard Diffusion approximation for an
age-class-structured population under
viability and fertility selection with
application to fixation probability of
an advantageous mutant . . . . . . . . . 2069--2110
Pascal Laurent-Gengoux and
Valérie Petit and
Lionel Larue Modeling and analysis of melanoblast
motion . . . . . . . . . . . . . . . . . 2111--2132
May Anne Mata and
Rebecca C. Tyson and
Priscilla Greenwood Random fluctuations around a stable
limit cycle in a stochastic system with
parametric forcing . . . . . . . . . . . 2133--2155
Zhen Wang and
Gergely Röst and
Seyed M. Moghadas Delay in booster schedule as a control
parameter in vaccination dynamics . . . 2157--2182
Manalebish Debalike Asfaw and
Semu Mitiku Kassa and
Edward M. Lungu Stochastic plant-herbivore interaction
model with Allee effect . . . . . . . . 2183--2209
Jaroslav Albert Path integral approach to generating
functions for multistep
post-transcription and post-translation
processes and arbitrary initial
conditions . . . . . . . . . . . . . . . 2211--2236
Misha Perepelitsa Adaptive learning in large populations 2237--2253
Daozhou Gao and
P. van den Driessche and
Chris Cosner Habitat fragmentation promotes malaria
persistence . . . . . . . . . . . . . . 2255--2280
S. Rogg and
D. H. Fuertinger and
S. Volkwein and
F. Kappel and
P. Kotanko Optimal EPO dosing in hemodialysis
patients using a non-linear model
predictive control approach . . . . . . 2281--2313
Conrad J. Burden and
Robert C. Griffiths The transition distribution of a sample
from a Wright--Fisher diffusion with
general small mutation rates . . . . . . 2315--2342
Odo Diekmann and
Sergey Gavrilets and
Mats Gyllenberg and
Simon Levin and
Mark Lewis Special issue of the \booktitleJournal
of Mathematical Biology to honor Alan
Hastings' 65th birthday . . . . . . . . 1--2
Robert Stephen Cantrell and
Chris Cosner and
Mark A. Lewis and
Yuan Lou Evolution of dispersal in spatial
population models with multiple
timescales . . . . . . . . . . . . . . . 3--37
Jean-Christophe Poggiale and
Clément Aldebert and
Benjamin Girardot and
Bob W. Kooi Analysis of a predator--prey model with
specific time scales: a geometrical
approach proving the occurrence of
canard solutions . . . . . . . . . . . . 39--60
Gabriel Maciel and
Chris Cosner and
Robert Stephen Cantrell and
Frithjof Lutscher Evolutionarily stable movement
strategies in reaction-diffusion models
with edge behavior . . . . . . . . . . . 61--92
Matthew J. Labrum and
Richard Gomulkiewicz Metapopulation Allee effects, habitat
destruction, and extinction in
metacommunities . . . . . . . . . . . . 93--110
Simran K. Sandhu and
Andrew Yu. Morozov and
József Z. Farkas Modelling evolution of virulence in
populations with a distributed parasite
load . . . . . . . . . . . . . . . . . . 111--141
Carl Boettiger and
Ryan Batt Bifurcation or state tipping: assessing
transition type in a model trophic
cascade . . . . . . . . . . . . . . . . 143--155
Nathan G. Marculis and
Jimmy Garnier and
Roger Lui and
Mark A. Lewis Inside dynamics for stage-structured
integrodifference equations . . . . . . 157--187
Odo Diekmann and
Mats Gyllenberg and
Johan A. J. Metz On models of physiologically structured
populations and their reduction to
ordinary differential equations . . . . 189--204
Odo Diekmann and
Mats Gyllenberg and
Johan A. J. Metz Finite dimensional state representation
of physiologically structured
populations . . . . . . . . . . . . . . 205--273
Thomas Hillen and
Kevin J. Painter and
Magdalena A. Stolarska and
Chuan Xue Multiscale phenomena and patterns in
biological systems: special issue in
honour of Hans Othmer . . . . . . . . . 275--281
Odo Diekmann and
Robert Planqué The winner takes it all: how semelparous
insects can become periodical . . . . . 283--301
Lorenzo Contento and
Masayasu Mimura Complex pattern formation driven by the
interaction of stable fronts in a
competition-diffusion system . . . . . . 303--342
Mark A. J. Chaplain and
Tommaso Lorenzi and
Fiona R. Macfarlane Bridging the gap between
individual-based and continuum models of
growing cell populations . . . . . . . . 343--371
Nadia Loy and
Luigi Preziosi Kinetic models with non-local sensing
determining cell polarization and speed
according to independent cues . . . . . 373--421
A. Colombi and
M. Scianna and
K. J. Painter and
L. Preziosi Modelling chase-and-run migration in
heterogeneous populations . . . . . . . 423--456
Radek Erban Coarse-graining molecular dynamics:
stochastic models with non-Gaussian
force distributions . . . . . . . . . . 457--479
Rasa Gini\=unait\.e and
Ruth E. Baker and
Paul M. Kulesa and
Philip K. Maini Modelling collective cell migration:
neural crest as a model paradigm . . . . 481--504
Linlin Li and
Xu Wang and
Mary C. Mullins and
David M. Umulis Evaluation of BMP-mediated patterning in
a $3$D mathematical model of the
zebrafish blastula embryo . . . . . . . 505--520
Wenrui Hao and
Chuan Xue Spatial pattern formation in
reaction--diffusion models: a
computational approach . . . . . . . . . 521--543
Fred Vermolen and
Ilkka Pölönen Uncertainty quantification on a spatial
Markov-chain model for the progression
of skin cancer . . . . . . . . . . . . . 545--573
Franziska Knauer and
Thomas Stiehl and
Anna Marciniak-Czochra Oscillations in a white blood cell
production model with multiple
differentiation stages . . . . . . . . . 575--600
Maxim Kuznetsov and
Andrey Kolobov Investigation of solid tumor progression
with account of proliferation/migration
dichotomy via Darwinian mathematical
model . . . . . . . . . . . . . . . . . 601--626
Michael Fuchs and
Ariel R. Paningbatan Correlation between Shapley values of
rooted phylogenetic trees under the
beta-splitting model . . . . . . . . . . 627--653
Sofya Zaytseva and
Junping Shi and
Leah B. Shaw Model of pattern formation in marsh
ecosystems with nonlocal interactions 655--686
Kristina Wicke and
Mike Steel Combinatorial properties of phylogenetic
diversity indices . . . . . . . . . . . 687--715
Hubert Stahn Biodiversity, Shapley value and
phylogenetic trees: some remarks . . . . 717--741
Tamás Varga and
Tamás F. Móri and
József Garay The ESS for evolutionary matrix games
under time constraints and its
relationship with the asymptotically
stable rest point of the replicator
dynamics . . . . . . . . . . . . . . . . 743--774
Aleksandra Arda\vseva and
Robert A. Gatenby and
Alexander R. A. Anderson and
Helen M. Byrne and
Philip K. Maini and
Tommaso Lorenzi Evolutionary dynamics of competing
phenotype-structured populations in
periodically fluctuating environments 775--807
Zhipeng Qiu and
Xuerui Wei and
Chunhua Shan and
Huaiping Zhu Monotone dynamics and global behaviors
of a West Nile virus model with mosquito
demographics . . . . . . . . . . . . . . 809--834
Bin-Guo Wang and
Lizhong Qiang and
Zhi-Cheng Wang An almost periodic Ross--Macdonald model
with structured vector population in a
patchy environment . . . . . . . . . . . 835--863
Manuela Geiß and
Peter F. Stadler and
Marc Hellmuth Reciprocal best match graphs . . . . . . 865--953
Éva Kisdi and
Stefan A. H. Geritz Correction to: Adaptive dynamics of
saturated polymorphisms . . . . . . . . 955--957
Xian Chen and
Chen Jia Limit theorems for generalized
density-dependent Markov chains and
bursty stochastic gene regulatory
networks . . . . . . . . . . . . . . . . 959--994
Marta Casanellas and
Jesús Fernández-Sánchez and
Jordi Roca-Lacostena Embeddability and rate identifiability
of Kimura $2$-parameter matrices . . . . 995--1019
Nicolas Bacaër Deux mod\`eles de population dans un
environnement périodique lent ou rapide.
(French) [Two population models in a
slow or fast periodic environment] . . . 1021--1037
Jonathan A. D. Wattis and
Qi Qi and
Helen M. Byrne Mathematical modelling of telomere
length dynamics . . . . . . . . . . . . 1039--1076
Tobia Dond\`e Uniform persistence in a prey--predator
model with a diseased predator . . . . . 1077--1093
Zhenguo Bai and
Xiao-Qiang Zhao Basic reproduction ratios for periodic
and time-delayed compartmental models
with impulses . . . . . . . . . . . . . 1095--1117
Lam Si Tung Ho and
Vu Dinh and
Frederick A. Matsen IV and
Marc A. Suchard On the convergence of the maximum
likelihood estimator for the transition
rate under a $2$-state symmetric model 1119--1138
Stefanie Brändle and
Syn Schmitt and
Matthias A. Müller A systems-theoretic analysis of
low-level human motor control:
application to a single-joint arm model 1139--1158
Elisenda Feliu On the role of algebra in models in
molecular biology . . . . . . . . . . . 1159--1161
Martin Golubitsky and
Yangyang Wang Infinitesimal homeostasis in three-node
input-output networks . . . . . . . . . 1163--1185
Ryusuke Kon Bifurcations of cycles in nonlinear
semelparous Leslie matrix models . . . . 1187--1207
Zuzana Chladná and
Jana Kopfová and
Dmitrii Rachinskii and
Samiha C. Rouf Global dynamics of SIR model with
switched transmission rate . . . . . . . 1209--1233
Cassandra Durell and
Stefan Forcey Level-1 phylogenetic networks and their
balanced minimum evolution polytopes . . 1235--1263
Michael Hendriksen and
Andrew Francis A partial order and cluster-similarity
metric on rooted phylogenetic trees . . 1265--1290
P. Clote Are RNA networks scale-free? . . . . . . 1291--1321
Alexandru Hening and
Dang H. Nguyen The competitive exclusion principle in
stochastic environments . . . . . . . . 1323--1351
Cedric Chauve and
Yann Ponty and
Michael Wallner Counting and sampling gene family
evolutionary histories in the
duplication-loss and
duplication-loss-transfer models . . . . 1353--1388
Chunyi Gai and
David Iron and
Theodore Kolokolnikov Localized outbreaks in an S-I-R model
with diffusion . . . . . . . . . . . . . 1389--1411
Ahmad Alhasanat and
Chunhua Ou On the conjecture for the pushed
wavefront to the diffusive
Lotka--Volterra competition model . . . 1413--1422
Wei-Jian Bo and
Guo Lin and
Shigui Ruan The effect of initial values on
extinction or persistence in degenerate
diffusion competition systems . . . . . 1423--1458
Manuela Geiß and
Marcos E. González Laffitte and
Alitzel López Sánchez and
Dulce I. Valdivia and
Marc Hellmuth and
Maribel Hernández Rosales and
Peter F. Stadler Best match graphs and reconciliation of
gene trees with species trees . . . . . 1459--1495
Fabian Freund Cannings models, population size changes
and multiple-merger coalescents . . . . 1497--1521
Eric Berry and
Bree Cummins and
Robert R. Nerem and
Lauren M. Smith and
Steven B. Haase and
Tomas Gedeon Using extremal events to characterize
noisy time series . . . . . . . . . . . 1523--1557
Yihong Du and
Bendong Lou and
Rui Peng and
Maolin Zhou The Fisher--KPP equation over simple
graphs: varied persistence states in
river networks . . . . . . . . . . . . . 1559--1616
Bootan Rahman and
Yuliya N. Kyrychko and
Konstantin B. Blyuss Dynamics of unidirectionally-coupled
ring neural network with discrete and
distributed delays . . . . . . . . . . . 1617--1653
Lea Popovic and
Liam Peuckert Diffusion dynamics on the coexistence
subspace in a stochastic evolutionary
game . . . . . . . . . . . . . . . . . . 1655--1682
Elizabeth Gross and
Heather Harrington and
Nicolette Meshkat and
Anne Shiu Joining and decomposing reaction
networks . . . . . . . . . . . . . . . . 1683--1731
Jeremy Baker and
Pavel Chigansky and
Peter Jagers and
Fima C. Klebaner On the establishment of a mutant . . . . 1733--1757
Nadia Loy and
Luigi Preziosi Modelling physical limits of migration
by a kinetic model with non-local
sensing . . . . . . . . . . . . . . . . 1759--1801
Hayriye Gulbudak and
Cameron J. Browne Infection severity across scales in
multi-strain immuno-epidemiological
Dengue model structured by host antibody
level . . . . . . . . . . . . . . . . . 1803--1843
Maxim Finkelstein and
James Vaupel On some stochastic properties of lives
lived and left in non-stationary
populations . . . . . . . . . . . . . . 1845--1856
Avner Friedman and
King-Yeung Lam Analysis of a mathematical model of
rheumatoid arthritis . . . . . . . . . . 1857--1883
S. Seirin-Lee and
T. Sukekawa and
T. Nakahara and
H. Ishii and
S.-I. Ei Transitions to slow or fast diffusions
provide a general property for in-phase
or anti-phase polarity in a cell . . . . 1885--1917
David F. Anderson and
David Schnoerr and
Chaojie Yuan Time-dependent product-form Poisson
distributions for reaction networks with
higher order complexes . . . . . . . . . 1919--1951
Ryo Ito Determining the optimal coefficient of
the spatially periodic Fisher--KPP
equation that minimizes the spreading
speed . . . . . . . . . . . . . . . . . 1953--1970
Andrew R. Francis and
Henry P. Wynn A mean first passage time genome
rearrangement distance . . . . . . . . . 1971--1992
Tomás M. Coronado and
Mareike Fischer and
Lina Herbst and
Francesc Rosselló and
Kristina Wicke On the minimum value of the Colless
index and the bifurcating trees that
achieve it . . . . . . . . . . . . . . . 1993--2054
Peter Shaffery and
Bret D. Elderd and
Vanja Dukic A note on species richness and the
variance of epidemic severity . . . . . 2055--2074
Elif Köksal Ersöz and
Mathieu Desroches and
Antoni Guillamon and
John Rinzel and
Joël Tabak Canard-induced complex oscillations in
an excitatory network . . . . . . . . . 2075--2107
Hiromi Seno An SIS model for the epidemic dynamics
with two phases of the human day-to-day
activity . . . . . . . . . . . . . . . . 2109--2140
Hiroshi C. Ito and
Ulf Dieckmann and
Johan A. J. Metz Lotka--Volterra approximations for
evolutionary trait-substitution
processes . . . . . . . . . . . . . . . 2141--2226
Mark B. Flegg and
Mario A. Muñoz and
Kate Smith-Miles and
Wai Shan Yuen and
Jennifer A. Flegg and
John G. Carroll Parameter estimation for a point-source
diffusion--decay morphogen model . . . . 2227--2255
Xiaoming Fu and
Quentin Griette and
Pierre Magal A cell-cell repulsion model on a
hyperbolic Keller--Segel equation . . . 2257--2300
Sean D. Lawley Distribution of extreme first passage
times of diffusion . . . . . . . . . . . 2301--2325
Shanshan Chen and
Junping Shi and
Zhisheng Shuai and
Yixiang Wu Asymptotic profiles of the steady states
for an SIS epidemic patch model with
asymmetric connectivity matrix . . . . . 2327--2361
P. Magal and
G. F. Webb and
Yixiang Wu A spatial model of honey bee colony
collapse due to pesticide contamination
of foraging bees . . . . . . . . . . . . 2363--2393
David S. Tourigny Dynamic metabolic resource allocation
based on the maximum entropy principle 2395--2430
Cecilia Berardo and
Stefan Geritz and
Mats Gyllenberg and
Gaël Raoul Interactions between different
predator--prey states: a method for the
derivation of the functional and
numerical response . . . . . . . . . . . 2431--2468
Elvan Akin and
Gülsah Yeni and
Alan S. Perelson Continuous and discrete modeling of
HIV-1 decline on therapy . . . . . . . . 1--24
Dan Wilson Optimal open-loop desynchronization of
neural oscillator populations . . . . . 25--64
Alexandru Hening and
Ky Quan Tran Harvesting and seeding of stochastic
populations: analysis and numerical
approximation . . . . . . . . . . . . . 65--112
Iboi Enahoro and
Steffen Eikenberry and
Abba B. Gumel and
Silvie Huijben and
Krijn Paaijmans Long-lasting insecticidal nets and the
quest for malaria eradication: a
mathematical modeling approach . . . . . 113--158
Benjamin D. Dalziel and
Enrique Thomann and
Jan Medlock and
Patrick De Leenheer Global analysis of a predator--prey
model with variable predator search rate 159--183
Magnus Dehli Vigeland Relatedness coefficients in pedigrees
with inbred founders . . . . . . . . . . 185--207
A. Ishaku and
A. M. Gazali and
S. A. Abdullahi and
N. Hussaini Analysis and optimal control of an HIV
model based on CD4 count . . . . . . . . 209--241
Xianghong Zhang and
Qiyong Liu and
Huaiping Zhu Modeling and dynamics of
\bionameWolbachia-infected male releases
and mating competition on mosquito
control . . . . . . . . . . . . . . . . 243--276
Eliza M. Ferreira and
Armando G. M. Neves Fixation probabilities for the Moran
process with three or more strategies:
general and coupling results . . . . . . 277--314
Yuanshi Wang and
Hong Wu and
Yiyang He and
Zhihui Wang and
Kun Hu Population abundance of two-patch
competitive systems with asymmetric
dispersal . . . . . . . . . . . . . . . 315--341
Pavol Bokes and
Alessandro Borri and
Pasquale Palumbo and
Abhyudai Singh Mixture distributions in a stochastic
gene expression model with delayed
feedback: a WKB approximation approach 343--367
Ting Guo and
Zhipeng Qiu and
Libin Rong Modeling the role of macrophages in HIV
persistence during antiretroviral
therapy . . . . . . . . . . . . . . . . 369--402
Qian Guo and
Xiaoqing He and
Wei-Ming Ni On the effects of carrying capacity and
intrinsic growth rate on single and
multiple species in spatially
heterogeneous environments . . . . . . . 403--433
Can Chen and
Pengde Wang and
Litao Zhang A two-thresholds policy for a Filippov
model in combating influenza . . . . . . 435--461
Elisa Tonello and
Heike Siebert Boolean analysis of lateral inhibition 463--486
E. J. Allen and
L. J. S. Allen and
H. L. Smith On real-valued SDE and
nonnegative-valued SDE population models
with demographic variability . . . . . . 487--515
Frank Boahen and
Nicolas Doyon Modelling dendritic spines with the
finite element method, investigating the
impact of geometry on electric and
calcic responses . . . . . . . . . . . . 517--547
Julia A. Shore and
Jeremy G. Sumner and
Barbara R. Holland The impracticalities of
multiplicatively-closed codon models: a
retreat to linear alternatives . . . . . 549--573
Gorgui Gackou and
Arnaud Guillin and
Arnaud Personne Quantitative approximation of the
discrete Moran process by a
Wright--Fisher diffusion . . . . . . . . 575--602
Leonard Schmiester and
Daniel Weindl and
Jan Hasenauer Parameterization of mechanistic models
from qualitative data using an efficient
optimal scaling approach . . . . . . . . 603--623
Xueying Wang and
Xiao-Qiang Zhao Target reproduction numbers for
reaction--diffusion population models 625--647
Mohit P. Dalwadi and
Diego Orol and
Frederik Walter and
Nigel P. Minton and
John R. King and
Katalin Kovács Using singular perturbation theory to
determine kinetic parameters in a
non-standard coupled enzyme assay . . . 649--690
Sima Sarv Ahrabi and
Alireza Momenzadeh Metaheuristics and Pontryagin's minimum
principle for optimal therapeutic
protocols in cancer immunotherapy: a
case study and methods comparison . . . 691--723
Michael G. Watson and
Helen M. Byrne and
Charlie Macaskill and
Mary R. Myerscough A multiphase model of growth
factor-regulated atherosclerotic cap
formation . . . . . . . . . . . . . . . 725--767
Jeyashree Krishnan and
Reza Torabi and
Andreas Schuppert and
Edoardo Di Napoli A modified Ising model of
Barabási--Albert network with gene-type
spins . . . . . . . . . . . . . . . . . 769--798
Adam Rhodes and
Thomas Hillen Implications of immune-mediated
metastatic growth on metastatic
dormancy, blow-up, early detection, and
treatment . . . . . . . . . . . . . . . 799--843
Peter Jagers and
Sergei Zuyev Populations in environments with a soft
carrying capacity are eventually extinct 845--851
David Thong and
George Streftaris and
Gavin J. Gibson Latent likelihood ratio tests for
assessing spatial kernels in epidemic
models . . . . . . . . . . . . . . . . . 853--873
Lukas Eigentler and
Jonathan A. Sherratt An integrodifference model for
vegetation patterns in semi-arid
environments with seasonality . . . . . 875--904
Odo Diekmann and
Mats Gyllenberg and
Johan A. J. Metz Correction to: Finite dimensional state
representation of physiologically
structured populations . . . . . . . . . 905--906
Yuhua Cai and
Stefan A. H. Geritz Resident-invader dynamics of similar
strategies in fluctuating environments 907--959
Simone Linz and
Charles Semple Caterpillars on three and four leaves
are sufficient to reconstruct binary
normal networks . . . . . . . . . . . . 961--980
Shin-Ichiro Ei and
Hiroshi Ishii and
Makoto Sato and
Yoshitaro Tanaka and
Miaoxing Wang and
Tetsuo Yasugi A continuation method for spatially
discretized models with nonlocal
interactions conserving size and shape
of cells and lattices . . . . . . . . . 981--1028
Cassius Manuel and
Arndt von Haeseler Structure of the space of taboo-free
sequences . . . . . . . . . . . . . . . 1029--1057
Henri Berestycki and
Romain Ducasse and
Luca Rossi Influence of a road on a population in
an ecological niche facing climate
change . . . . . . . . . . . . . . . . . 1059--1097
Jingwei Li and
Hao Ge and
Yunxin Zhang Fluctuating-rate model with multiple
gene states . . . . . . . . . . . . . . 1099--1141
Gonçalo Oliveira Early epidemic spread, percolation and
Covid-19 . . . . . . . . . . . . . . . . 1143--1168
Nidhi Kaihnsa and
Yue Ren and
Mohab Safey El Din and
Johannes W. R. Martini Cooperativity, absolute interaction, and
algebraic optimization . . . . . . . . . 1169--1191
Bingtuan Li and
Minghua Zhang and
Bradley Coffman Can a barrier zone stop invasion of a
population? . . . . . . . . . . . . . . 1193--1216
Simina M. Boca and
Lucy Huang and
Noah A. Rosenberg On the heterozygosity of an admixed
population . . . . . . . . . . . . . . . 1217--1250
Maria Eckardt and
Kevin J. Painter and
Christina Surulescu and
Anna Zhigun Nonlocal and local models for taxis in
cell migration: a rigorous limit
procedure . . . . . . . . . . . . . . . 1251--1298
Bastian Prasse and
Piet Van Mieghem Time-dependent solution of the NIMFA
equations around the epidemic threshold 1299--1355
Mathilde Bouvel and
Philippe Gambette and
Marefatollah Mansouri Counting phylogenetic networks of level
1 and 2 . . . . . . . . . . . . . . . . 1357--1395
David A. Edwards and
Brooks Emerick and
Anna Georgieva Kondic and
Kristian Kiradjiev and
Christopher Raymond and
Maxim Zyskin Mathematical models for the effect of
anti-vascular endothelial growth factor
on visual acuity . . . . . . . . . . . . 1397--1428
Hua Nie and
Biao Wang and
Jianhua Wu Invasion analysis on a predator--prey
system in open advective environments 1429--1463
Je-Chiang Tsai and
Yu-Yu Weng Propagation direction of traveling waves
for a class of bistable epidemic models 1465--1493
Yifei Li and
Peter van Heijster and
Robert Marangell and
Matthew J. Simpson Travelling wave solutions in a negative
nonlinear diffusion--reaction model . . 1495--1522
Pia Brechmann and
Alan D. Rendall Unbounded solutions of models for
glycolysis . . . . . . . . . . . . . . . ??
Kentaro Nagahara and
Yuan Lou and
Eiji Yanagida Maximizing the total population with
logistic growth in a patchy environment ??
Víctor Jiménez López and
Eduardo Liz Destabilization and chaos induced by
harvesting: insights from
one-dimensional discrete-time models . . ??
Robert A. Van Gorder and
Václav Klika and
Andrew L. Krause Turing conditions for pattern forming
systems on evolving manifolds . . . . . ??
David S. Tourigny Cooperative metabolic resource
allocation in spatially-structured
systems . . . . . . . . . . . . . . . . ??
Martina Favero and
Henrik Hult and
Timo Koski A dual process for the coupled
Wright--Fisher diffusion . . . . . . . . ??
Zhi-An Wang and
Jiao Xu On the Lotka--Volterra competition
system with dynamical resources and
density-dependent diffusion . . . . . . ??
Lena Collienne and
Alex Gavryushkin Computing nearest neighbour interchange
distances between ranked phylogenetic
trees . . . . . . . . . . . . . . . . . ??
Pavel Kurasov and
Delio Mugnolo and
Verena Wolf Analytic solutions for stochastic hybrid
models of gene regulatory networks . . . ??
Christian Engwer and
Michael Wenske Estimating the extent of glioblastoma
invasion . . . . . . . . . . . . . . . . ??
François Robin and
Anne Van Gorp and
Amandine Véber The role of mode switching in a
population of actin polymers with
constraints . . . . . . . . . . . . . . ??
Frédérique Clément and
Frédérique Robin and
Romain Yvinec Stochastic nonlinear model for somatic
cell population dynamics during ovarian
follicle activation . . . . . . . . . . ??
Carlos Martínez and
Jean-Luc Gouzé Global dynamics of the chemostat with
overflow metabolism . . . . . . . . . . ??
Alex McAvoy and
Benjamin Allen Fixation probabilities in evolutionary
dynamics under weak selection . . . . . ??
Sergei Drozhzhin and
Tatiana Yakushkina and
Alexander S. Bratus Fitness optimization and evolution of
permanent replicator systems . . . . . . ??
Rams\`es Djidjou-Demasse and
Samuel Alizon and
Mircea T. Sofonea Within-host bacterial growth dynamics
with both mutation and horizontal gene
transfer . . . . . . . . . . . . . . . . ??
Olivier Salagnac and
John Wakeley The consequences of switching strategies
in a two-player iterated survival game ??
Yujie Ding and
Bard Ermentrout Traveling waves in non-local
pulse-coupled networks . . . . . . . . . ??
M. K. Garba and
T. M. W. Nye and
J. Lueg and
S. F. Huckemann Information geometry for phylogenetic
trees . . . . . . . . . . . . . . . . . ??
David Schaller and
Manuela Geiß and
Peter F. Stadler and
Marc Hellmuth Complete Characterization of Incorrect
Orthology Assignments in Best Match
Graphs . . . . . . . . . . . . . . . . . ??
W. Duncan Martinson and
Hirokazu Ninomiya and
Helen M. Byrne and
Philip K. Maini Comparative analysis of continuum
angiogenesis models . . . . . . . . . . ??
Ingemar Kaj and
Sylvain Glémin and
Daniah Tahir and
Martin Lascoux Analysis of diversity-dependent species
evolution using concepts in population
genetics . . . . . . . . . . . . . . . . ??
Hannah Lu and
Kimoon Um and
Daniel M. Tartakovsky Hybrid models of chemotaxis with
application to leukocyte migration . . . ??
Yangyang Shi and
Hongyong Zhao Analysis of a two-strain malaria
transmission model with spatial
heterogeneity and vector-bias . . . . . ??
Alessandro Borri and
Andrea De Gaetano A quasi-equilibrium reduced model of
pancreatic insulin secretion . . . . . . ??
Sheng-Chen Fu and
Masayasu Mimura and
Je-Chiang Tsai Traveling waves for a three-component
reaction--diffusion model of farmers and
hunter-gatherers in the Neolithic
transition . . . . . . . . . . . . . . . ??
Xue Zhang and
Bei Sun and
Yijun Lou Dynamics of a periodic tick-borne
disease model with co-feeding and
multiple patches . . . . . . . . . . . . ??
Yue Liu and
Elisabeth G. Rens and
Leah Edelstein-Keshet Spots, stripes, and spiral waves in
models for static and motile cells . . . ??
Dietmar B. Oelz Quasi-steady-state reduction of a model
for cytoplasmic transport of secretory
vesicles in stimulated chromaffin cells ??
Hui Zhang A game-theoretical dynamic imitation
model on networks . . . . . . . . . . . ??
George H. Youlden and
Vito Ricci and
Xuan Wang-Kan and
Laura J. V. Piddock and
Sara Jabbari and
John R. King Time dependent asymptotic analysis of
the gene regulatory network of the
AcrAB-TolC efflux pump system in
gram-negative bacteria . . . . . . . . . ??
Carsten Conradi and
Nida Obatake and
Anne Shiu and
Xiaoxian Tang Dynamics of ERK regulation in the
processive limit . . . . . . . . . . . . ??
Qingyan Shi and
Junping Shi and
Hao Wang Spatial movement with distributed memory ??
Sean T. Vittadello and
Scott W. McCue and
Gency Gunasingh and
Nikolas K. Haass and
Matthew J. Simpson A novel mathematical model of
heterogeneous cell proliferation . . . . ??
Hannah J. Pybus and
Amanda L. Tatler and
Lowell T. Edgar and
Reuben D. O'Dea and
Bindi S. Brook Reduced biomechanical models for
precision-cut lung-slice stretching
experiments . . . . . . . . . . . . . . ??
Emeric Bouin and
Guillaume Legendre and
Yuan Lou and
Nichole Slover Evolution of anisotropic diffusion in
two-dimensional heterogeneous
environments . . . . . . . . . . . . . . ??
Frank P. Pijpers A non-parametric method for determining
epidemiological reproduction numbers . . ??
Hirofumi Izuhara and
Harunori Monobe and
Chang-Hong Wu The formation of spreading front: the
singular limit of three-component
reaction--diffusion models . . . . . . . ??
Martin Andrade-Restrepo and
Ionel Sorin Ciuperca and
Paul Lemarre and
Laurent Pujo-Menjouet and
Léon Matar Tine A reaction--diffusion model of spatial
propagation of $ A \beta $ oligomers in
early stage Alzheimer's disease . . . . ??
Katharina T. Huber and
Simone Linz and
Vincent Moulton The rigid hybrid number for two
phylogenetic trees . . . . . . . . . . . ??
F. Alberti and
E. Baake and
I. Letter and
S. Mart\'ìnez Solving the migration-recombination
equation from a genealogical point of
view . . . . . . . . . . . . . . . . . . ??
Tao Feng and
Daniel Charbonneau and
Zhipeng Qiu and
Yun Kang Dynamics of task allocation in social
insect colonies: scaling effects of
colony size versus work activities . . . ??
Christopher E. Overton and
Kieran J. Sharkey Evolutionary bet-hedging in structured
populations . . . . . . . . . . . . . . ??
K. Argasinski and
M. Broom Towards a replicator dynamics model of
age structured populations . . . . . . . ??
Zhong-Kai Guo and
Hong Xiang and
Hai-Feng Huo Analysis of an age-structured
tuberculosis model with treatment and
relapse . . . . . . . . . . . . . . . . ??
A. Gómez-Corral and
M. López-García and
M. T. Rodríguez-Bernal On time-discretized versions of the
stochastic SIS epidemic model: a
comparative analysis . . . . . . . . . . ??
David Schaller and
Manuela Geiß and
Edgar Chávez and
Marcos González Laffitte and
Alitzel López Sánchez and
Bärbel M. R. Stadler and
Dulce I. Valdivia and
Marc Hellmuth and
Maribel Hernández Rosales and
Peter F. Stadler Corrigendum to ``Best match graphs'' . . ??
Linda J. S. Allen and
Xueying Wang Stochastic models of infectious diseases
in a periodic environment with
application to cholera epidemics . . . . ??
Pawan Kumar and
Jing Li and
Christina Surulescu Multiscale modeling of glioma
pseudopalisades: contributions from the
tumor microenvironment . . . . . . . . . ??
Matt Reichenbach and
Richard Rebarber and
Brigitte Tenhumberg Spectral properties of a non-compact
operator in ecology . . . . . . . . . . ??
Ting Guo and
Zhipeng Qiu and
Mingwang Shen and
Libin Rong Dynamics of a new HIV model with the
activation status of infected cells . . ??
Christophe Besse and
Grégory Faye Dynamics of epidemic spreading on
connected graphs . . . . . . . . . . . . ??
Jochen Blath and
Eugenio Buzzoni and
Adrián González Casanova and
Maite Wilke Berenguer Separation of timescales for the seed
bank diffusion and its jump-diffusion
limit . . . . . . . . . . . . . . . . . ??
Stephen Schecter Geometric singular perturbation theory
analysis of an epidemic model with
spontaneous human behavioral change . . ??
Sara Sommariva and
Giacomo Caviglia and
Michele Piana Gain and loss of function mutations in
biological chemical reaction networks: a
mathematical model with application to
colorectal cancer cells . . . . . . . . ??
Alexandru Hening and
Dang H. Nguyen and
Peter Chesson A general theory of coexistence and
extinction for stochastic ecological
communities . . . . . . . . . . . . . . ??
Shin-Ichiro Ei and
Hiroshi Ishii and
Makoto Sato and
Yoshitaro Tanaka and
Miaoxing Wang and
Tetsuo Yasugi Correction to: A continuation method for
spatially discretized models with
nonlocal interactions conserving size
and shape of cells and lattices . . . . ??
Céline Bonnet and
Sylvie Méléard Large fluctuations in multi-scale
modeling for rest hematopoiesis . . . . ??
Giacomo Albi and
Lorenzo Pareschi and
Mattia Zanella Control with uncertain data of socially
structured compartmental epidemic models ??
Yuanyuan Feng and
Gautam Iyer and
Lei Li Scheduling fixed length quarantines to
minimize the total number of fatalities
during an epidemic . . . . . . . . . . . ??
Cody E. FitzGerald and
James P. Keener A systematic search for switch-like
behavior in type II toxin-antitoxin
systems . . . . . . . . . . . . . . . . ??
Hayriye Gulbudak and
Paul L. Salceanu and
Gail S. K. Wolkowicz A delay model for persistent viral
infections in replicating cells . . . . ??
Alexandru Hening and
Yao Li Stationary distributions of persistent
ecological systems . . . . . . . . . . . ??
Linard Hoessly Stationary distributions via
decomposition of stochastic reaction
networks . . . . . . . . . . . . . . . . ??
Peter D. Jarvis and
Jeremy G. Sumner Correction to: Matrix group structure
and Markov invariants in the strand
symmetric phylogenetic substitution
model . . . . . . . . . . . . . . . . . ??
Yoshihisa Morita and
Sungrim Seirin-Lee Long time behavior and stable patterns
in high-dimensional polarity models of
asymmetric cell division . . . . . . . . ??
Hendrik Richter Spectral analysis of transient
amplifiers for death-birth updating
constructed from regular graphs . . . . ??
A. Tricot and
I. M. Sokolov and
D. Holcman Modeling the voltage distribution in a
non-locally but globally electroneutral
confined electrolyte medium:
applications for nanophysiology . . . . ??
Yangyang Wang and
Zhengyuan Huang and
Martin Golubitsky The structure of infinitesimal
homeostasis in input-output networks . . ??
Amandine Aftalion and
Emmanuel Trélat Pace and motor control optimization for
a runner . . . . . . . . . . . . . . . . ??
G. Dimarco and
B. Perthame and
M. Zanella Kinetic models for epidemic dynamics
with social heterogeneity . . . . . . . ??
Avner Friedman and
King-Yeung Lam Analysis of a mathematical model of
immune response to fungal infection . . ??
Christian John Hurry and
Alexander Mozeika and
Alessia Annibale Modelling the interplay between the
CD4$^+$ /CD8$^+$ T-cell ratio and the
expression of MHC-I in tumours . . . . . ??
Peter Jagers and
Sergei Zuyev Amendment to: populations in
environments with a soft carrying
capacity are eventually extinct . . . . ??
Hao Kang and
Shigui Ruan Mathematical analysis on an
age-structured SIS epidemic model with
nonlocal diffusion . . . . . . . . . . . ??
David I. Ketcheson Optimal control of an SIR epidemic
through finite-time non-pharmaceutical
intervention . . . . . . . . . . . . . . ??
David Schaller and
Manuel Lafond and
Marc Hellmuth Indirect identification of horizontal
gene transfer . . . . . . . . . . . . . ??
Arnd Scheel and
Angela Stevens and
Christoph Tenbrock Signaling gradients in surface dynamics
as basis for planarian regeneration . . ??
Daniel E. Williamson and
Erik Sahai and
John R. King Parameter estimation in fluorescence
recovery after photobleaching:
quantitative analysis of protein binding
reactions and diffusion . . . . . . . . ??
Subekshya Bidari and
Zachary P Kilpatrick Hive geometry shapes the recruitment
rate of honeybee colonies . . . . . . . ??
Jochen Blath and
Felix Hermann and
Martin Slowik A branching process model for dormancy
and seed banks in randomly fluctuating
environments . . . . . . . . . . . . . . ??
Jean-Charles Croix and
Nicolas Durrande and
Mauricio A. Alvarez Bayesian inversion of a diffusion model
with application to biology . . . . . . ??
François Hamel and
Florian Lavigne and
Lionel Roques Adaptation in a heterogeneous
environment I: persistence versus
extinction . . . . . . . . . . . . . . . ??
Won Eui Hong and
Robert L. Pego Exclusion and multiplicity for stable
communities in Lotka--Volterra systems ??
Jana Kopfová and
Petra Nábelková and
Samiha C. Rouf Dynamics of SIR model with vaccination
and heterogeneous behavioral response of
individuals modeled by the Preisach
operator . . . . . . . . . . . . . . . . ??
Chai Molina and
David J. D. Earn On inferring evolutionary stability in
finite populations using infinite
population models . . . . . . . . . . . ??
Grégoire Nadin and
Eric Ogier-Denis and
Hatem Zaag A Turing mechanism in order to explain
the patchy nature of Crohn's disease . . ??
Tuan Anh Phan and
Hai Dang Nguyen and
Jianjun Paul Tian Deterministic and stochastic modeling
for PDGF-driven gliomas reveals a
classification of gliomas . . . . . . . ??
Horst R. Thieme Discrete-time population dynamics of
spatially distributed semelparous
two-sex populations . . . . . . . . . . ??
Feng-Bin Wang and
Chang-Yuan Cheng A diffusive virus model with a fixed
intracellular delay and combined drug
treatments . . . . . . . . . . . . . . . ??
Jimin Zhang and
Junping Shi and
Xiaoyuan Chang A model of algal growth depending on
nutrients and inorganic carbon in a
poorly mixed water column . . . . . . . ??
Manu Aggarwal and
N. G. Cogan and
Owen L. Lewis Physiological insights into
electrodiffusive maintenance of gastric
mucus through sensitivity analysis and
simulations . . . . . . . . . . . . . . ??
Luis Almeida and
Gissell Estrada-Rodriguez and
Francois Vallette Treatment-induced shrinking of tumour
aggregates: a nonlinear volume-filling
chemotactic approach . . . . . . . . . . ??
Muhammad Ardiyansyah and
Dimitra Kosta and
Kaie Kubjas The model-specific Markov embedding
problem for symmetric group-based models ??
Ginger Egberts and
Fred Vermolen and
Paul van Zuijlen Stability of a one-dimensional
morphoelastic model for post-burn
contraction . . . . . . . . . . . . . . ??
Elizabeth Gross and
Leo van Iersel and
Yukihiro Murakami Distinguishing level-1 phylogenetic
networks on the basis of data generated
by Markov processes . . . . . . . . . . ??
Akane Hara and
Akiko Satake Why meals during resting time cause fat
accumulation in mammals? Mathematical
modeling of circadian regulation on
glucose metabolism . . . . . . . . . . . ??
Kamruzzaman Khan and
Shuang Liu and
Yihong Du Invasive behaviour under competition via
a free boundary model: a numerical
approach . . . . . . . . . . . . . . . . ??
Charles Semple and
Gerry Toft Trinets encode orchard phylogenetic
networks . . . . . . . . . . . . . . . . ??
Sabrina H. Streipert and
Gail S. K. Wolkowicz An alternative delayed population growth
difference equation model . . . . . . . ??
Xiaoru Xue and
Min Tang Individual based models exhibiting
Lévy-flight type movement induced by
intracellular noise . . . . . . . . . . ??
Wenjing Zhang and
Leif Ellingson and
Jane Heffernan An investigation of tuberculosis
progression revealing the role of
macrophages apoptosis via sensitivity
and bifurcation analysis . . . . . . . . ??
Luca Bolzoni and
Rossella Della Marca and
Maria Groppi On the optimal control of SIR model with
Erlang-distributed infectious period:
isolation strategies . . . . . . . . . . ??
Fabiana Calleri and
Giovanni Nastasi and
Vittorio Romano Continuous-time stochastic processes for
the spread of COVID-19 disease simulated
via a Monte Carlo approach and
comparison with deterministic models . . ??
Carla Castillo-Laborde and
Taco de Wolff and
Héctor Ramírez C. Assessment of event-triggered policies
of nonpharmaceutical interventions based
on epidemiological indicators . . . . . ??
Kwok Pui Choi and
Gursharn Kaur and
Taoyang Wu On asymptotic joint distributions of
cherries and pitchforks for random
phylogenetic trees . . . . . . . . . . . ??
Emiliano Cristiani and
Marta Menci and
Léonard Brafman An all-leader agent-based model for
turning and flocking birds . . . . . . . ??
Yunfeng Geng and
Frithjof Lutscher Competitive coexistence of seasonal
breeders . . . . . . . . . . . . . . . . ??
Hildeberto Jardón-Kojakhmetov and
Christian Kuehn and
Mattia Sensi A geometric analysis of the SIRS
epidemiological model on a homogeneous
network . . . . . . . . . . . . . . . . ??
Silvia Jerez and
Emilene Pliego and
Anna K. Miller Antigen receptor therapy in bone
metastasis via optimal control for
different human life stages . . . . . . ??
Joana Pinheiro Neto and
Irina Alho and
Susana Vinga Dynamic modeling of bone remodeling,
osteolytic metastasis and PK/PD therapy:
introducing variable order derivatives
as a simplification technique . . . . . ??
Vassilis G. Papanicolaou A binary search scheme for determining
all contaminated specimens . . . . . . . ??
Hongying Shu and
Zongwei Ma and
Xiang-Sheng Wang Threshold dynamics of a nonlocal and
delayed cholera model in a spatially
heterogeneous environment . . . . . . . ??
Faheem Zaidi and
Alona Ben-Tal and
Mick Roberts Is our breathing optimal? Solving a
piecewise linear model with constraints ??
Jaroslav Albert Dimensionality reduction via path
integration for computing mRNA
distributions . . . . . . . . . . . . . ??
Prajakta Bedekar and
Ilya Timofeyev and
Misha Perepelitsa Reaction-diffusion models for
morphological patterning of hESCs . . . ??
François Bienvenu and
Gabriel Cardona and
Celine Scornavacca Revisiting Shao and Sokal's $ B_2 $
index of phylogenetic balance . . . . . ??
Elisabetta Brocchieri and
Lucilla Corrias and
Yong-Jung Kim Evolution of dietary diversity and a
starvation driven cross-diffusion system
as its singular limit . . . . . . . . . ??
Pau Capera-Aragones and
Eric Foxall and
Rebecca C. Tyson Differential equation model for
central-place foragers with memory:
implications for bumble bee crop
pollination . . . . . . . . . . . . . . ??
Jean-Guy Caputo and
Valérie Girardin and
Quentin Nogu\`es Analysis of trophic networks: an
optimisation approach . . . . . . . . . ??
Lena Collienne and
Kieran Elmes and
Alex Gavryushkin Discrete coalescent trees . . . . . . . ??
Colleen M. Davies and
Hao Wang Incorporating carbon dioxide into a
stoichiometric producer-grazer model . . ??
Claude Lef\`evre and
Philippe Picard and
Sergey Utev A chain binomial epidemic with
asymptomatics motivated by COVID-19
modelling . . . . . . . . . . . . . . . ??
Andrea Maiorana and
Marco Meneghelli and
Mario Resnati Effectiveness of isolation measures with
app support to contain COVID-19
epidemics: a parametric approach . . . . ??
Jason G. Miles and
Nicholas A. Battista Exploring the sensitivity in jellyfish
locomotion under variations in scale,
frequency, and duty cycle . . . . . . . ??
John J. Vastola Solving the chemical master equation for
monomolecular reaction systems and
beyond: a Doi--Peliti path integral view ??
Elias Ventre and
Thibault Espinasse and
Olivier Gandrillon Reduction of a stochastic model of gene
expression: Lagrangian dynamics gives
access to basins of attraction as cell
types and metastabilty . . . . . . . . . ??
Yian Xu and
Masoud Asadi-Zeydabadi and
Orrin Shindell Universality in kinetic models of
circadian rhythms in \bionameArabidopsis
thaliana . . . . . . . . . . . . . . . . ??
Nara Yoon and
Nikhil Krishnan and
Jacob Scott Theoretical modeling of collaterally
sensitive drug cycles: shaping
heterogeneity to allow adaptive therapy ??
Florin Boenkost and
Adrián González Casanova and
Anton Wakolbinger Haldane's formula in Cannings models:
the case of moderately strong selection ??
Guillaume Cantin and
Arnaud Ducrot and
Beatriz M. Funatsu Mathematical modeling of forest
ecosystems by a
reaction-diffusion-advection system:
impacts of climate change and
deforestation . . . . . . . . . . . . . ??
Bertrand Cloez and
Beno\^\ite de Saporta and
Tristan Roget Long-time behavior and Darwinian
optimality for an asymmetric
size-structured branching process . . . ??
Malik A. Dawi and
Jose J. Muñoz Stability bounds of a delay
visco-elastic rheological model with
substrate friction . . . . . . . . . . . ??
Elamin H. Elbasha and
Abba B. Gumel Vaccination and herd immunity thresholds
in heterogeneous populations . . . . . . ??
Léo Girardin and
Florence Débarre Demographic feedbacks can hamper the
spatial spread of a gene drive . . . . . ??
Jules Guilberteau and
Camille Pouchol and
Nastassia Pouradier Duteil Monostability and bistability of
biological switches . . . . . . . . . . ??
Asger Hobolth and
Mogens Bladt and
Lars Nòrvang Andersen Multivariate phase-type theory for the
site frequency spectrum . . . . . . . . ??
Vladimir Kozlov and
Sonja Radosavljevic and
Uno Wennergren Global stability of an age-structured
population model on several temporally
variable patches . . . . . . . . . . . . ??
Adam Le and
Aaron A. King and
Pejman Rohani The impact of infection-derived immunity
on disease dynamics . . . . . . . . . . ??
Tommaso Lorenzi and
Andrea Pugliese and
Agnese Zardini Evolutionary dynamics in an SI epidemic
model with phenotype-structured
susceptible compartment . . . . . . . . ??
Per Lötstedt Derivation of continuum models from
discrete models of mechanical forces in
cell populations . . . . . . . . . . . . ??
Zhihui Ma and
Shuyan Han and
Shenghua Li A stochastic eco-epidemiological system
with patchy structure and
transport-related infection . . . . . . ??
Ricardo Martínez and
Joaquín Sánchez-Soriano Mathematical indices for the influence
of risk factors on the lethality of a
disease . . . . . . . . . . . . . . . . ??
Mirko Pasquini and
David Angeli On convergence for hybrid models of gene
regulatory networks under polytopic
uncertainties: a Lyapunov approach . . . ??
François Baccelli and
Nithin Ramesan A computational framework for evaluating
the role of mobility on the propagation
of epidemics on point processes . . . . ??
Jan-Erik Busse and
Sílvia Cuadrado and
Anna Marciniak-Czochra Local asymptotic stability of a system
of integro-differential equations
describing clonal evolution of a
self-renewing cell population under
mutation . . . . . . . . . . . . . . . . ??
Julia Delacour and
Marie Doumic and
Gabriele Zaffagnini A mathematical model of p62-ubiquitin
aggregates in autophagy . . . . . . . . ??
Thomas G. Fai and
Youngmin Park Global asymptotic stability of the
active disassembly model of flagellar
length control . . . . . . . . . . . . . ??
Tomás Gedeon and
Antony R. Humphries and
Zhao Wang Operon dynamics with state dependent
transcription and/or translation delays ??
L. De Luca and
A. Ninno and
M. Ponsiglione Vectorial crystallization problems and
collective behavior . . . . . . . . . . ??
Marissa Renardy and
Denise Kirschner and
Marisa Eisenberg Structural identifiability analysis of
age-structured PDE epidemic models . . . ??
Wesley Ridgway and
Michael J. Ward and
Brian T. Wetton Quorum-sensing induced transitions
between bistable steady-states for a
cell-bulk ODE--PDE model with Lux
intracellular kinetics . . . . . . . . . ??
Deeptajyoti Sen and
Saktipada Ghorai and
Andrew Morozov Bifurcation analysis of the
predator--prey model with the Allee
effect in the predator . . . . . . . . . ??
Juping Zhang and
Wenhui Hao and
Zhen Jin The dynamics of sexually transmitted
diseases with men who have sex with men ??
Matthieu Alfaro and
Quentin Griette and
Beno\^\it Sarels The spatio-temporal dynamics of
interacting genetic incompatibilities.
Part I: the case of stacked
underdominant clines . . . . . . . . . . ??
Ebrahim Azhdari and
Jahed Naghipoor The effect of viscoelasticity of the
tissue on the magneto-responsive drug
delivery system . . . . . . . . . . . . ??
George Chappelle and
Alan Hastings and
Martin Rasmussen Occupancy times for time-dependent
stage-structured models . . . . . . . . ??
Léonard Dekens Evolutionary dynamics of complex traits
in sexual populations in a heterogeneous
environment: how normal? . . . . . . . . ??
Yingli Pan Propagation dynamics for an
age-structured population model in
time-space periodic habitat . . . . . . ??
Meena Pargaei and
B. V. Rathish Kumar and
Simone Scacchi Cardiac electro-mechanical activity in a
deforming human cardiac tissue:
modeling, existence-uniqueness, finite
element computation and application to
multiple ischemic disease . . . . . . . ??
Yurij Salmaniw and
Zhongwei Shen and
Hao Wang Global dynamics of a diffusive
competition model with habitat
degradation . . . . . . . . . . . . . . ??
Leonardo Videla Strong stochastic persistence of some
Lévy-driven Lotka--Volterra systems . . . ??
Cuihua Wang and
Sanling Yuan and
Hao Wang Spatiotemporal patterns of a diffusive
prey-predator model with spatial memory
and pregnancy period in an intimidatory
environment . . . . . . . . . . . . . . ??
Jianshe Yu and
Jia Li A delay suppression model with sterile
mosquitoes release period equal to wild
larvae maturation period . . . . . . . . ??
Lam Si Tung Ho and
Edward Susko Ancestral state reconstruction with
large numbers of sequences and
edge-length estimation . . . . . . . . . ??
Zhengyuan Huang and
Martin Golubitsky Classification of infinitesimal
homeostasis in four-node input-output
networks . . . . . . . . . . . . . . . . ??
Masataka Kuwamura and
Hirofumi Izuhara and
Shin-ichiro Ei Oscillations and bifurcation structure
of reaction-diffusion model for cell
polarity formation . . . . . . . . . . . ??
John C. Lang Use of mathematical modelling to assess
respiratory syncytial virus epidemiology
and interventions: a literature review ??
Souvik Roy and
Zui Pan and
Suvra Pal A Fokker--Planck feedback control
framework for optimal personalized
therapies in colon cancer-induced
angiogenesis . . . . . . . . . . . . . . ??
Cristina Vaghi and
Raphaëlle Fanciullino and
Clair Poignard Macro-scale models for fluid flow in
tumour tissues: impact of microstructure
properties . . . . . . . . . . . . . . . ??
Zhuojun Yu and
Peter J. Thomas A homeostasis criterion for limit cycle
systems based on infinitesimal shape
response curves . . . . . . . . . . . . ??
Matthieu Alfaro and
Thomas Giletti and
Hyowon Seo On the modelling of spatially
heterogeneous nonlocal diffusion:
deciding factors and preferential
position of individuals . . . . . . . . ??
Elizabeth S. Allman and
Hector Baños and
John A. Rhodes Identifiability of species network
topologies from genomic sequences using
the logDet distance . . . . . . . . . . ??
David Cheek The coalescent tree of a Markov
branching process with generalised
logistic growth . . . . . . . . . . . . ??
Gautam Dasarathy and
Elchanan Mossel and
Sebastien Roch A stochastic Farris transform for
genetic data under the multispecies
coalescent with applications to data
requirements . . . . . . . . . . . . . . ??
Mohammad Abu Hamed and
Alexander A. Nepomnyashchy Phase field model for cell spreading
dynamics . . . . . . . . . . . . . . . . ??
Emma Hubert and
Thibaut Mastrolia and
Xavier Warin Incentives, lockdown, and testing: from
Thucydides' analysis to the COVID-19
pandemic . . . . . . . . . . . . . . . . ??
Chiu-Ju Lin and
Ting-Hao Hsu and
Gail S. K. Wolkowicz Population growth and competition models
with decay and competition consistent
delay . . . . . . . . . . . . . . . . . ??
J. R. Reoch and
Y. M. Stokes and
J. E. F. Green A mathematical model for cell-induced
gel contraction incorporating osmotic
effects . . . . . . . . . . . . . . . . ??
Xueying Wang and
Ruiwen Wu and
Xiao-Qiang Zhao A reaction-advection-diffusion model of
cholera epidemics with seasonality and
human behavior change . . . . . . . . . ??
Flavien Alonzo and
Aurelien A. Serandour and
Mazen Saad Simulating the behaviour of glioblastoma
multiforme based on patient MRI during
treatments . . . . . . . . . . . . . . . ??
Camille Coron and
Yves Le Jan Pedigree in the biparental Moran model ??
Jeffery Demers and
Suzanne L. Robertson and
William F. Fagan Implicit versus explicit vector
management strategies in models for
vector-borne disease epidemiology . . . ??
Shasha Gao and
Maia Martcheva and
Libin Rong The impact of vaccination on human
papillomavirus infection with
disassortative geographical mixing: a
two-patch modeling study . . . . . . . . ??
Jimmy Garnier and
Pierre Lafontaine Life history traits and dispersal shape
neutral genetic diversity in
metapopulations . . . . . . . . . . . . ??
Alexandru Hening and
Ky Quan Tran and
Sergiu C. Ungureanu The effects of random and seasonal
environmental fluctuations on optimal
harvesting and stocking . . . . . . . . ??
Xiaojie Jing and
Guirong Liu and
Zhen Jin Stochastic dynamics of an SIS epidemic
on networks . . . . . . . . . . . . . . ??
Sungsik Kong and
Joan Carles Pons and
Kristina Wicke Classes of explicit phylogenetic
networks and their biological and
mathematical significance . . . . . . . ??
Florian Kreten Traveling waves of an FKPP-type model
for self-organized growth . . . . . . . ??
Sean D. Lawley and
H. Frederik Nijhout and
Michael C. Reed Spiracular fluttering decouples oxygen
uptake and water loss: a stochastic PDE
model of respiratory water loss in
insects . . . . . . . . . . . . . . . . ??
Yuan Lou and
Hua Nie Global dynamics of a generalist
predator--prey model in open advective
environments . . . . . . . . . . . . . . ??
Arjun Mirani and
Alex McAvoy Payoff landscapes and the robustness of
selfish optimization in iterated games ??
Mamadou Sadio Ndongo and
Papa Ibrahima Ndiaye and
Mohamed Aziz Darghouth A climate-based model for tick life
cycle: positive semigroup theory on
Cauchy problem approach . . . . . . . . ??
Julia A. Palacios and
Anand Bhaskar and
Noah A. Rosenberg Enumeration of binary trees compatible
with a perfect phylogeny . . . . . . . . ??
Venta Terauds and
Jeremy Sumner A new algebraic approach to genome
rearrangement models . . . . . . . . . . ??
Ran Zhang and
Jinliang Wang On the global attractivity for a
reaction-diffusion malaria model with
incubation period in the vector
population . . . . . . . . . . . . . . . ??
Susanne Pieschner and
Jan Hasenauer and
Christiane Fuchs Identifiability analysis for models of
the translation kinetics after mRNA
transfection . . . . . . . . . . . . . . ??
Juping Ji and
Genghong Lin and
Lin Wang and
Ali Mai Spatiotemporal dynamics induced by
intraguild predator diffusion in an
intraguild predation model . . . . . . . ??
Antonio Montalbán and
Rodrigo M. Corder and
M. Gabriela M. Gomes Herd immunity under individual variation
and reinfection . . . . . . . . . . . . ??
Justin Eilertsen and
Kashvi Srivastava and
Santiago Schnell Stochastic enzyme kinetics and the
quasi-steady-state reductions:
Application of the slow scale linear
noise approximation \`a la Fenichel . . ??
Alexander K. Y. Tam and
Alex Mogilner and
Dietmar B. Oelz $F$-actin bending facilitates net
actomyosin contraction By inhibiting
expansion with plus-end-located myosin
motors . . . . . . . . . . . . . . . . . ??
Xiaoming Zheng and
Kun Zhao and
Trachette Jackson and
John Lowengrub Tumor growth towards lower extracellular
matrix conductivity regions under
Darcy's Law and steady morphology . . . ??
Robert Stephen Cantrell and
Chris Cosner and
Ying Zhou Ideal free dispersal in
integrodifference models . . . . . . . . ??
Arnaud Z. Dragicevic and
Anjula Gurtoo Stochastic control of ecological
networks . . . . . . . . . . . . . . . . ??
Glenn Young and
Andrew Belmonte Fixation in the stochastic
Lotka--Volterra model with small fitness
trade-offs . . . . . . . . . . . . . . . ??
Pawe\l B\la\.zej and
Dariusz R. Kowalski and
Dorota Mackiewicz and
Ma\lgorzata Wnetrzak and
Daniyah A. Aloqalaa and
Pawe\l Mackiewicz The structure of the genetic code as an
optimal graph clustering problem . . . . ??
Mohammed H. Alharbi and
Christopher M. Kribs How influenza vaccination and virus
interference may impact combined
influenza--coronavirus disease burden ??
Kerry Manson and
Charles Semple and
Mike Steel Counting and optimising maximum
phylogenetic diversity sets . . . . . . ??
Daniel B. Cooney and
Yoichiro Mori Long-time behavior of a PDE replicator
equation for multilevel selection in
group-structured populations . . . . . . ??
Alan Scaramangas and
Mark Broom Aposematic signalling in prey-predator
systems: determining evolutionary
stability when prey populations consist
of a single species . . . . . . . . . . ??
Justin Dean and
Ayalvadi Ganesh Noise dissipation in gene regulatory
networks via second order statistics of
networks of infinite server queues . . . ??
Yantao Yang and
Chaojing Ma and
Jian Zu Coevolutionary dynamics of host-pathogen
interaction with density-dependent
mortality . . . . . . . . . . . . . . . ??
Pierre Degond and
Sophie Hecht and
Mich\`ele Romanos and
Ariane Trescases Multi-species viscous models for tissue
growth: incompressible limit and
qualitative behaviour . . . . . . . . . ??
Pengfei Song and
Yanni Xiao Analysis of a diffusive epidemic system
with spatial heterogeneity and lag
effect of media impact . . . . . . . . . ??
Bo Zheng Impact of releasing period and magnitude
on mosquito population in a sterile
release model with delay . . . . . . . . ??
Bin Wu Evolutionary stability is sensitive on
the conflict between reproduction and
survival: proofs . . . . . . . . . . . . ??
Clive Emary and
Anne-Kathleen Malchow Stability-instability transition in
tripartite merged ecological networks ??
Yuqiong Lan and
Yanqiu Li and
Dongmei Zheng Global dynamics of an age-dependent
multiscale hepatitis C virus model . . . ??
Yao-ban Chan and
Qiuyi Li and
Celine Scornavacca The large-sample asymptotic behaviour of
quartet-based summary methods for
species tree inference . . . . . . . . . ??
Qin Pan and
Jicai Huang and
Hao Wang An SIRS model with nonmonotone incidence
and saturated treatment in a changing
environment . . . . . . . . . . . . . . ??
Guy Katriel Dispersal-induced growth in a
time-periodic environment . . . . . . . ??
Q. Peng and
F. J. Vermolen Upscaling between an agent-based model
(smoothed particle approach) and a
continuum-based model for skin
contractions . . . . . . . . . . . . . . ??
Jérémie Unterberger and
Philippe Nghe Stoechiometric and dynamical
autocatalysis for diluted chemical
reaction networks . . . . . . . . . . . ??
Dhaker Kroumi and
Sabin Lessard Average abundancy of cooperation in
multi-player games with random payoffs ??
Ján Elia\vs and
Hirofumi Izuhara and
Masayasu Mimura and
Bao Q. Tang An aggregation model of cockroaches with
fast-or-slow motion dichotomy . . . . . ??
Stephanie M. Lewkiewicz and
Sebastiano De Bona and
Matthew R. Helmus and
Benjamin Seibold Temperature sensitivity of pest
reproductive numbers in age-structured
PDE models, with a focus on the invasive
spotted lanternfly . . . . . . . . . . . ??
K. T. Huber and
L. J. Maher The hybrid number of a ploidy profile ??
Miguel Ballesteros and
Guillermo Garro A model and a numerical scheme for the
description of distribution and
abundance of individuals . . . . . . . . ??
P. J. Harris and
B. E. J. Bodmann A mathematical model for simulating the
spread of a disease through a country
divided into geographical regions with
different population densities . . . . . ??
Serena Dipierro and
Giovanni Giacomin and
Enrico Valdinoci Efficiency functionals for the Lévy
flight foraging hypothesis . . . . . . . ??
Muhammad Salman Khan and
Maria Samreen and
Muhammad Ozair and
Takasar Hussain and
E. M. Elsayed and
J. F. Gómez-Aguilar On the qualitative study of a
two-trophic plant-herbivore model . . . ??
Franco Blanchini and
Patrizio Colaneri and
Giulia Giordano and
Irene Zorzan Vertex results for the robust analysis
of uncertain biochemical systems . . . . ??
Omar Melikechi and
Alexander L. Young and
Tao Tang and
Trevor Bowman and
David Dunson and
James Johndrow Limits of epidemic prediction using SIR
models . . . . . . . . . . . . . . . . . ??
Daniel J. Eck and
Olga Morozova and
Forrest W. Crawford Randomization for the susceptibility
effect of an infectious disease
intervention . . . . . . . . . . . . . . ??
Susmita Sadhu Analysis of the onset of a regime shift
and detecting early warning signs of
major population changes in a
two-trophic three-species predator--prey
model with long-term transients . . . . ??
Matt Holzer and
Zachary Richey and
Wyatt Rush and
Samuel Schmidgall Locked fronts in a discrete time
discrete space population model . . . . ??
Romain Narci and
Maud Delattre and
Catherine Larédo and
Elisabeta Vergu Inference in Gaussian state-space models
with mixed effects for multiple epidemic
dynamics . . . . . . . . . . . . . . . . ??
Bente Hilde Bakker and
Timothy E. Faver and
Hermen Jan Hupkes and
Roeland M. H. Merks and
Jelle van der Voort Scaling relations for auxin waves . . . ??
José A. Carrillo and
Helge Holden and
Susanne Solem Noise-driven bifurcations in a neural
field system modelling networks of grid
cells . . . . . . . . . . . . . . . . . ??
Félix Foutel-Rodier and
François Blanquart and
Philibert Courau and
Peter Czuppon and
Jean-Jil Duchamps and
Jasmine Gamblin and
Élise Kerdoncuff and
Rob Kulathinal and
Léo Régnier and
Laura Vuduc and
Amaury Lambert and
Emmanuel Schertzer From individual-based epidemic models to
McKendrick-von Foerster PDEs: a guide to
modeling and inferring COVID-19 dynamics ??
Sarra Nouaoura and
Radhouane Fekih-Salem and
Nahla Abdellatif and
Tewfik Sari Operating diagrams for a three-tiered
microbial food web in the chemostat . . ??
Etan Basser-Ravitz and
Arman Darbar and
Julia Chifman Cyclic attractors of nonexpanding
$q$-ary networks . . . . . . . . . . . . ??
Avner Friedman and
Wenrui Hao and
King-Yeung Lam A cancer model with nonlocal free
boundary dynamics . . . . . . . . . . . ??
Chiu-Yen Kao and
Seyyed Abbas Mohammadi Maximal total population of species in a
diffusive logistic model . . . . . . . . ??
Sean T. Vittadello and
Michael P. H. Stumpf A group theoretic approach to model
comparison with simplicial
representations . . . . . . . . . . . . ??
Shuping Li and
Xiaorong Zhao and
Ruixia Zhang Site-bond percolation model of epidemic
spreading with vaccination in complex
networks . . . . . . . . . . . . . . . . ??
Gui-Quan Sun and
Li-Feng Hou and
Li Li and
Zhen Jin and
Hao Wang Spatial dynamics of a vegetation model
with uptake-diffusion feedback in an
arid environment . . . . . . . . . . . . ??
Cameron Meaney and
Mohammad Kohandel and
Arian Novruzi Temporal optimization of radiation
therapy to heterogeneous tumour
populations and cancer stem cells . . . ??
Emil F. Fròlich and
Uffe H. Thygesen Population games with instantaneous
behavior and the Rosenzweig--MacArthur
model . . . . . . . . . . . . . . . . . ??
Badal Joshi and
Gheorghe Craciun Foundations of static and dynamic
absolute concentration robustness . . . ??
Josef Hofbauer and
Sebastian J. Schreiber Permanence via invasion graphs:
incorporating community assembly into
modern coexistence theory . . . . . . . ??
Idriss Mazari and
Dom\`enec Ruiz-Balet Spatial ecology, optimal control and
game theoretical fishing problems . . . ??
Valeria Giunta and
Thomas Hillen and
Mark A. Lewis and
Jonathan R. Potts Detecting minimum energy states and
multi-stability in nonlocal
advection-diffusion models for
interacting species . . . . . . . . . . ??
Vince N. Campo and
John Lawrence Palacios and
Hideo Nagahashi and
Hyunju Oh and
Jan Rychtá\vr and
Dewey Taylor A game-theoretic model of rabies in
domestic dogs with multiple voluntary
preventive measures . . . . . . . . . . ??
Yaodan Huang and
Bei Hu Symmetry-breaking longitude bifurcations
for a free boundary problem modeling
small plaques in three dimensions . . . ??
Bingtuan Li and
Garrett Otto Wave speed and critical patch size for
integro-difference equations with a
strong Allee effect . . . . . . . . . . ??
Wolfgang Schramm The (human) respiratory rate at rest . . ??
Hua Zhang and
Junjie Wei Bifurcation analysis for a single
population model with advection . . . . ??
Christian Kuehn and
Jan Mölter The influence of a transport process on
the epidemic threshold . . . . . . . . . ??
Frank Ball and
Peter Neal An epidemic model with short-lived
mixing groups . . . . . . . . . . . . . ??
Frank Ernesto Alvarez and
José Antonio Carrillo and
Jean Clairambault Evolution of a structured cell
population endowed with plasticity of
traits under constraints on and between
the traits . . . . . . . . . . . . . . . ??
Anna Claudia M. Resende and
Ernesto A. B. F. Lima and
Regina C. Almeida and
Matthew T. McKenna and
Thomas E. Yankeelov Model selection for assessing the
effects of doxorubicin on
triple-negative breast cancer cell lines ??
Imane Akjouj and
Jamal Najim Feasibility of sparse large
Lotka--Volterra ecosystems . . . . . . . ??
Gheorghe Craciun and
Abhishek Deshpande Homeostasis and injectivity: a reaction
network perspective . . . . . . . . . . ??
R. Gutiérrez and
F. Córdova-Lepe and
F. N. Moreno-Gómez and
N. A. Velásquez Plastic energy allocation toward
life-history functions in a
consumer-resource interaction . . . . . ??
Gary Goh and
Michael Fuchs and
Louxin Zhang Two results about the Sackin and Colless
indices for phylogenetic trees and their
shapes . . . . . . . . . . . . . . . . . ??
Jay A. Stotsky and
Hans G. Othmer The effects of internal forces and
membrane heterogeneity on
three-dimensional cell shapes . . . . . ??
Haifeng Zhang and
Meirong Zhang and
Jinzhi Lei A mathematical model with aberrant
growth correction in tissue homeostasis
and tumor cell growth . . . . . . . . . ??
Mohsen Kamelian Rad and
Mohammad Ali Ahmadi-Pajouh and
Mehrdad Saviz Selective electrical stimulation of low
versus high diameter myelinated fibers
and its application in pain relief: a
modeling study . . . . . . . . . . . . . ??
Camille Coron and
Manon Costa and
Hél\`ene Leman and
Violaine Llaurens and
Charline Smadi Origin and persistence of polymorphism
in loci targeted by disassortative
preference: a general model . . . . . . ??
Rachidi B. Salako Impact of population size and movement
on the persistence of a two-strain
infectious disease . . . . . . . . . . . ??
Fanze Kong and
Juncheng Wei and
Liangshun Xu The existence and stability of spikes in
the one-dimensional Keller--Segel model
with logistic growth . . . . . . . . . . ??
Peter Georg and
Lars Grasedyck and
Maren Klever and
Rudolf Schill and
Rainer Spang and
Tilo Wettig Low-rank tensor methods for Markov
chains with applications to tumor
progression models . . . . . . . . . . . ??
Eduardo Cerpa and
Mat\'ìas Courdurier and
Esteban Hernández and
Leonel E. Medina and
Esteban Paduro A partially averaged system to model
neuron responses to interferential
current stimulation . . . . . . . . . . ??
Cameron J. Browne and
Fadoua Yahia Virus-immune dynamics determined by
prey-predator interaction network and
epistasis in viral fitness landscape . . ??
Elizabeth S. Allman and
Hector Baños and
Jonathan D. Mitchell and
John A. Rhodes The tree of blobs of a species network:
identifiability under the coalescent . . ??
Thomas K. Porter and
Michael N. Heinz and
Daniel James Lundberg and
Allan M. Brooks and
Tedrick Thomas Salim Lew and
Kevin S. Silmore and
Volodymyr B. Koman and
Mervin Chun-Yi Ang and
Duc Thinh Khong and
Gajendra Pratap Singh and
James W. Swan and
Rajani Sarojam and
Nam-Hai Chua and
Michael S. Strano A theory of mechanical stress-induced
H$_2$O$_2$ signaling waveforms in Planta ??
Jingcheng Xu and
Cécile Ané Identifiability of local and global
features of phylogenetic networks from
average distances . . . . . . . . . . . ??
Kristina Wicke and
Mareike Fischer and
Laura Kubatko Effects of discordance between species
and gene trees on phylogenetic diversity
conservation . . . . . . . . . . . . . . ??
Yangjin Kim and
Junho Lee and
Chaeyoung Lee and
Sean Lawler Role of senescent tumor cells in
building a cytokine shield in the tumor
microenvironment: mathematical modeling ??
L. Eigentler and
J. A. Sherratt Long-range seed dispersal enables almost
stationary patterns in a model for
dryland vegetation . . . . . . . . . . . ??
Maximiliano Altamirano and
Roberto Cortez and
Matthieu Jonckheere and
Lasse Leskelä Persistence in a large network of
sparsely interacting neurons . . . . . . ??
Frank Boahen and
Nicolas Doyon and
Jean Deteix Sensitivity of the electrical response
of a node of Ranvier model to
alterations of the myelin sheath
geometry . . . . . . . . . . . . . . . . ??
Gopikrishnan C. Remesan and
Jennifer A. Flegg and
Helen M. Byrne Two-phase model of compressive stress
induced on a surrounding hyperelastic
medium by an expanding tumour . . . . . ??
Min-Jhe Lu and
Wenrui Hao and
Bei Hu and
Shuwang Li Bifurcation analysis of a free boundary
model of vascular tumor growth with a
necrotic core and chemotaxis . . . . . . ??
Isam Al-Darabsah and
Kang-Ling Liao and
Stéphanie Portet A simple in-host model for COVID-19 with
treatments: model prediction and
calibration . . . . . . . . . . . . . . ??
Samiran Ghosh and
Vitaly Volpert and
Malay Banerjee An age-dependent immuno-epidemiological
model with distributed recovery and
death rates . . . . . . . . . . . . . . ??
Cameron Luke Hall and
Bram Alexander Siebert Exact solutions and bounds for network
SIR and SEIR models using a rooted-tree
approximation . . . . . . . . . . . . . ??
De Tang and
Zhi-An Wang Population dynamics with
resource-dependent dispersal: single-
and two-species models . . . . . . . . . ??
Johannes Müller and
Volker Hösel Contact tracing & super-spreaders in the
branching-process model . . . . . . . . ??
Liqiong Pu and
Zhigui Lin and
Yuan Lou A West Nile virus nonlocal model with
free boundaries and seasonal succession ??
Jean-François Delmas and
Dylan Dronnier and
Pierre-André Zitt Optimal vaccination: various (counter)
intuitive examples . . . . . . . . . . . ??
Qin Pan and
Jicai Huang and
Hao Wang Correction: An SIRS model with
nonmonotone incidence and saturated
treatment in a changing environment . . ??
Tomislav Plesa Stochastic approximations of
higher-molecular by bi-molecular
reactions . . . . . . . . . . . . . . . ??
Odo Diekmann and
Hisashi Inaba A systematic procedure for incorporating
separable static heterogeneity into
compartmental epidemic models . . . . . ??
Nicholas W. Barendregt and
Peter J. Thomas Heteroclinic cycling and extinction in
May--Leonard models with demographic
stochasticity . . . . . . . . . . . . . ??
Juping Ji and
Russell Milne and
Hao Wang Stoichiometry and environmental change
drive dynamical complexity and
unpredictable switches in an intraguild
predation model . . . . . . . . . . . . ??
Hongyong Zhao and
Kai Wang and
Hao Wang Basic reproduction ratio of a
mosquito-borne disease in heterogeneous
environment . . . . . . . . . . . . . . ??
Hans Othmer and
Yuan Lou and
Philip Maini and
Urszula Ledzewicz Introduction to the special collection
in honor of Avner Friedman . . . . . . . ??
Christopher Barrett and
Andrei Bura and
Qijun He and
Fenix Huang and
Christian Reidys The arithmetic topology of genetic
alignments . . . . . . . . . . . . . . . ??
Yan Wang and
Jun Liu and
Xinhong Zhang and
Jane M. Heffernan An HIV stochastic model with
cell-to-cell infection, B-cell immune
response and distributed delay . . . . . ??
Shuangshuang Yin and
Jianhong Wu and
Pengfei Song Optimal control by deep learning
techniques and its applications on
epidemic models . . . . . . . . . . . . ??
Jiawei Deng and
Hongying Shu and
Lin Wang and
Xiang-Sheng Wang Viral dynamics with immune responses:
effects of distributed delays and
Filippov antiretroviral therapy . . . . ??
Shizhao Ma and
Jinzhi Lei and
Xiulan Lai Modeling tumour heterogeneity of PD-L1
expression in tumour progression and
adaptive therapy . . . . . . . . . . . . ??
Edgardo Villar-Sepúlveda and
Alan R. Champneys General conditions for Turing and wave
instabilities in reaction--diffusion
systems . . . . . . . . . . . . . . . . ??
Jung-Chao Ban and
Jyy-I Hong and
Yu-Liang Wu Mathematical analysis of topological and
random $m$-order spread models . . . . . ??
R. S. Cantrell and
C. Cosner and
R. B. Salako Effects of dispersal rates in a
two-stage reaction-diffusion system . . ??
Xue Zhang and
Jianhong Wu A coupled algebraic-delay differential
system modeling tick-host interactive
behavioural dynamics and multi-stability ??
Davin Lunz and
J. Frédéric Bonnans and
Jakob Ruess Optimal control of bioproduction in the
presence of population heterogeneity . . ??
Jandre Snyman and
Colin Fox and
David Bryant Parsimony and the rank of a flattening
matrix . . . . . . . . . . . . . . . . . ??
Stephan Luckhaus and
Angela Stevens A free boundary problem-in time-for the
spread of Covid-19 . . . . . . . . . . . ??
Benjamin Schmiegelt and
Joachim Krug Accessibility percolation on Cartesian
power graphs . . . . . . . . . . . . . . ??
Raúl Fierro Cumulative damage for multi-type
epidemics and an application to
infectious diseases . . . . . . . . . . ??
J. Ignacio Fierro Ulloa and
Liu-Di Lu and
Olivier Bernard Theoretical growth rate of microalgae
under high/low-flashing light . . . . . ??
Hong-Gyu Yoon and
Pilwon Kim STDP-based associative memory formation
and retrieval . . . . . . . . . . . . . ??
Linh Huynh and
Jacob G. Scott and
Peter J. Thomas Inferring density-dependent population
dynamics mechanisms through rate
disambiguation for logistic birth-death
processes . . . . . . . . . . . . . . . ??
Zhaowang Zhang and
Lijie Chang and
Qiming Huang and
Rong Yan and
Bo Zheng A mosquito population suppression model
with a saturated \bionameWolbachia
release strategy in seasonal succession ??
Min Lu and
Daozhou Gao and
Jicai Huang and
Hao Wang Relative prevalence-based dispersal in
an epidemic patch model . . . . . . . . ??
Andrew N. Hill and
John W. Glasser and
Zhilan Feng Implications for infectious disease
models of heterogeneous mixing on
control thresholds . . . . . . . . . . . ??
Christopher M. Heggerud and
King-Yeung Lam and
Hao Wang Niche differentiation in the light
spectrum promotes coexistence of
phytoplankton species: a spatial
modelling approach . . . . . . . . . . . ??
Pak-Wing Fok Shear stress regulation in cylindrical
arteries through medial growth and
nitric oxide release . . . . . . . . . . ??
Alison M. V. D. L. Melo and
Matheus C. Santos Final size and partial distance estimate
for a two-group SEIRD model . . . . . . ??
Edgardo Villar-Sepúlveda and
Alan R. Champneys Correction to: General conditions for
Turing and wave instabilities in
reaction--diffusion systems . . . . . . ??
Delaney Smith and
Anita Layton The intrarenal renin-angiotensin system
in hypertension: insights from
mathematical modelling . . . . . . . . . ??
Ginger Egberts and
Fred Vermolen and
Paul van Zuijlen Stability of a two-dimensional
biomorphoelastic model for post-burn
contraction . . . . . . . . . . . . . . ??
Henri Berestycki and
Beno\^ìt Desjardins and
Joshua S. Weitz and
Jean-Marc Oury Epidemic modeling with heterogeneity and
social diffusion . . . . . . . . . . . . ??
Rossella Della Marca and
Nadia Loy and
Andrea Tosin An SIR model with viral load-dependent
transmission . . . . . . . . . . . . . . ??
Kristina Crona and
Joachim Krug and
Malvika Srivastava Geometry of fitness landscapes: peaks,
shapes and universal positive epistasis ??
Bruce Pell and
Samantha Brozak and
Tin Phan and
Fuqing Wu and
Yang Kuang The emergence of a virus variant:
dynamics of a competition model with
cross-immunity time-delay validated by
wastewater surveillance data for
COVID-19 . . . . . . . . . . . . . . . . ??
Gustav Lindwall and
Philip Gerlee Fast and precise inference on
diffusivity in interacting particle
systems . . . . . . . . . . . . . . . . ??
Hua Zhang and
Hao Wang and
Junjie Wei Perceptive movement of susceptible
individuals with memory . . . . . . . . ??
Glenn Webb and
Xinyue Evelyn Zhao Bifurcation analysis of critical values
for wound closure outcomes in wound
healing experiments . . . . . . . . . . ??
Cyrille Kenne and
Gis\`ele Mophou and
Pascal Zongo A nested model with boosting and waning
of immunity from Tilapia Lake Virus
infection with distributed resistance to
pathogens carrier-state . . . . . . . . ??
Sara Hamis and
Panu Somervuo and
J. Arvid Ågren and
Dagim Shiferaw Tadele and
Juha Kesseli and
Jacob G. Scott and
Matti Nykter and
Philip Gerlee and
Dmitri Finkelshtein and
Otso Ovaskainen Spatial cumulant models enable spatially
informed treatment strategies and
analysis of local interactions in cancer
systems . . . . . . . . . . . . . . . . ??
Muhammad Ardiyansyah and
Dimitra Kosta and
Jordi Roca-Lacostena Embeddability of centrosymmetric
matrices capturing the double-helix
structure in natural and synthetic DNA ??
David Cheek and
Samuel G. G. Johnston Ancestral reproductive bias in branching
processes . . . . . . . . . . . . . . . ??
Hao Wang and
Yurij Salmaniw Open problems in PDE models for
knowledge-based animal movement via
nonlocal perception and cognitive
mapping . . . . . . . . . . . . . . . . ??
Daniel Gomez and
King-Yeung Lam and
Yoichiro Mori Front propagation in the shadow
wave-pinning model . . . . . . . . . . . ??
Ourania Drosinou and
Christos V. Nikolopoulos and
Anastasios Matzavinos and
Nikos I. Kavallaris A stochastic parabolic model of MEMS
driven by fractional Brownian motion . . ??
Katharine Gurski and
Kathleen Hoffman Staged HIV transmission and treatment in
a dynamic model with long-term
partnerships . . . . . . . . . . . . . . ??
Fernando Saldaña and
Vanessa Steindorf and
Akhil Kumar Srivastav and
Nico Stollenwerk and
Ma\'ìra Aguiar Optimal vaccine allocation for the
control of sexually transmitted
infections . . . . . . . . . . . . . . . ??
Dimitri Loutchko An algebraic characterization of
self-generating chemical reaction
networks using semigroup models . . . . ??
Yu-Jhe Huang and
Jonq Juang and
Tai-Yi Kuo and
Yu-Hao Liang Forward-backward and period doubling
bifurcations in a discrete epidemic
model with vaccination and limited
medical resources . . . . . . . . . . . ??
Dimitri Loutchko Semigroup models for biochemical
reaction networks . . . . . . . . . . . ??
Brian Fralix and
Mark Holmes and
Andreas Löpker A Markovian arrival stream approach to
stochastic gene expression in cells . . ??
Xiaogang Liu and
Yuming Chen and
Xiaomin Li and
Jianquan Li Global stability of
latency-age/stage-structured epidemic
models with differential infectivity . . ??
Wanxiao Xu and
Hongying Shu and
Lin Wang and
Xiang-Sheng Wang and
James Watmough The importance of quarantine: modelling
the COVID-19 testing process . . . . . . ??
Fan Bai An age-of-infection model with both
symptomatic and asymptomatic infections ??
Kalpana Hanthanan Arachchilage and
Mohammed Y. Hussaini and
N. G. Cogan and
Michael H. Cortez Exploring how ecological and
epidemiological processes shape
multi-host disease dynamics using global
sensitivity analysis . . . . . . . . . . ??
Jawdat Alebraheem and
Yahya Abu-Hassan A novel mechanism measurement of
predator interference in predator--prey
models . . . . . . . . . . . . . . . . . ??
Christopher Kribs and
David Greenhalgh Impact of tetravalent dengue vaccination
with screening, ADE, and altered
infectivity on single-serotype dengue
and Zika transmission . . . . . . . . . ??
Iain R. Moyles and
Chapin S. Korosec and
Jane M. Heffernan Determination of significant
immunological timescales from
mRNA-LNP-based vaccines in humans . . . ??
Yue Wang and
Siqi He Inference on autoregulation in gene
expression with variance-to-mean ratio ??
Nhat L. Vu and
Thanh P. Nguyen and
Binh T. Nguyen and
Vu Dinh and
Lam Si Tung Ho When can we reconstruct the ancestral
state? Beyond Brownian motion . . . . . ??
Evelyn Buckwar and
Martina Conte and
Amira Meddah A stochastic hierarchical model for low
grade glioma evolution . . . . . . . . . ??
Sean D. Lawley and
Joshua Johnson Slowest first passage times, redundancy,
and menopause timing . . . . . . . . . . ??
Nourridine Siewe and
Abdul-Aziz Yakubu Hybrid discrete-time-continuous-time
models and a SARS CoV-2 mystery:
Sub-Saharan Africa's low SARS CoV-2
disease burden . . . . . . . . . . . . . ??
Louisiane Lemaire and
Mathieu Desroches and
Martin Krupa and
Massimo Mantegazza Idealized multiple-timescale model of
cortical spreading depolarization
initiation and pre-epileptic
hyperexcitability caused by Na$_V$
1.1/SCN1A mutations . . . . . . . . . . ??
Hui Cao and
Baojun Song and
Yicang Zhou Treatment strategies for the latent
tuberculosis infections . . . . . . . . ??
Yuyue Zhang and
Jicai Huang and
Hao Wang Bifurcations driven by generalist and
specialist predation: mathematical
interpretation of Fennoscandia
phenomenon . . . . . . . . . . . . . . . ??
Junya Watanabe Exact expressions and numerical
evaluation of average evolvability
measures for characterizing and
comparing $ \textbf {G} $ matrices . . . ??
Wencel Valega-Mackenzie and
Jason Bintz and
Suzanne Lenhart Resource allocation in a PDE ecosystem
model . . . . . . . . . . . . . . . . . ??
Xiaoxia Tang and
Shuwang Li and
John S. Lowengrub and
Steven M. Wise Phase field modeling and computation of
vesicle growth or shrinkage . . . . . . ??
Robert C. Griffiths and
Paul A. Jenkins An estimator for the recombination rate
from a continuously observed diffusion
of haplotype frequencies . . . . . . . . ??
Bilel Elbetch and
Ali Moussaoui Nonlinear diffusion in multi-patch
logistic model . . . . . . . . . . . . . ??
Vincent Bansaye and
Bertrand Cloez From the distributions of times of
interactions to preys and predators
dynamical systems . . . . . . . . . . . ??
Hendrik Richter Spectral dynamics of guided edge
removals and identifying transient
amplifiers for death-Birth updating . . ??
Sandesh Athni Hiremath and
Christina Surulescu Data driven modeling of pseudopalisade
pattern formation . . . . . . . . . . . ??
Ling Xue and
Xiulei Jin and
Huaiping Zhu Assessing the impact of
serostatus-dependent immunization on
mitigating the spread of dengue virus ??
Henrique A. L. Ribeiro and
Yogesh Scindia and
Borna Mehrad and
Reinhard Laubenbacher COVID-19-associated pulmonary
aspergillosis in immunocompetent
patients: a virtual patient cohort study ??
Nour El Houda Zitouni and
Mohamed Dellal and
Mustapha Lakrib Substrate inhibition can produce
coexistence and limit cycles in the
chemostat model with allelopathy . . . . ??
Dimitrios Katsaounis and
Mark A. J. Chaplain and
Nikolaos Sfakianakis Stochastic differential equation
modelling of cancer cell migration and
tissue invasion . . . . . . . . . . . . ??
José Alfredo Zavaleta-Viveros and
Porfirio Toledo and
Martha Lorena Avendaño-Garrido and
Jesús Enrique Escalante-Mart\'ìnez and
Mar\'ìa-Leonor López-Meraz and
Karen Paola Ramos-Riera A modification to the Kuramoto model to
simulate epileptic seizures as
synchronization . . . . . . . . . . . . ??
Silas Poloni and
Frithjof Lutscher Integrodifference models for
evolutionary processes in biological
invasions . . . . . . . . . . . . . . . ??
M. Andersen and
K. O. Bangsgaard and
J. G. Heaf and
J. T. Ottesen Analytical solution of phosphate
kinetics for hemodialysis . . . . . . . ??
Lingqi Meng and
Naoki Masuda Perturbation theory for evolution of
cooperation on networks . . . . . . . . ??
Maxime Clenet and
François Massol and
Jamal Najim Equilibrium and surviving species in a
large Lotka--Volterra system of
differential equations . . . . . . . . . ??
Mengfeng Sun and
Xinchu Fu Competitive dual-strain SIS
epidemiological models with awareness
programs in heterogeneous networks: two
modeling approaches . . . . . . . . . . ??
Seungjoon Lee and
Yorgos M. Psarellis and
Constantinos I. Siettos and
Ioannis G. Kevrekidis Learning black- and gray-box chemotactic
PDEs/closures from agent based Monte
Carlo simulation data . . . . . . . . . ??
Romain Ducasse and
Samuel Nordmann Propagation properties in a
multi-species SIR reaction--diffusion
system . . . . . . . . . . . . . . . . . ??
Shigui Ruan and
Dongmei Xiao Imperfect and Bogdanov--Takens
bifurcations in biological models: from
harvesting of species to isolation of
infectives . . . . . . . . . . . . . . . ??
Pedro Jaramillo-Aguayo and
Annabelle Collin and
Clair Poignard Phase-field model of bilipid membrane
electroporation . . . . . . . . . . . . ??
Jun Chen and
Jordy O. Rodriguez Rincon and
Gloria DeGrandi-Hoffman and
Jennifer Fewell and
Jon Harrison and
Yun Kang Impacts of seasonality and parasitism on
honey bee population dynamics . . . . . ??
Yuan Lou and
Rachidi B. Salako and
Pengfei Song Human mobility and disease prevalence ??
Subrata Dey and
S. Ghorai and
Malay Banerjee Analytical detection of stationary and
dynamic patterns in a prey-predator
model with reproductive Allee effect in
prey growth . . . . . . . . . . . . . . ??
Cuihua Wang and
Hao Wang and
Sanling Yuan Precipitation governing vegetation
patterns in an arid or semi-arid
environment . . . . . . . . . . . . . . ??
Carlos Mart\'ìnez and
Eugenio Cinquemani and
Hidde de Jong and
Jean-Luc Gouzé Optimal protein production by a
synthetic microbial consortium:
coexistence, distribution of labor, and
syntrophy . . . . . . . . . . . . . . . ??
MyVan Vo and
Zhilan Feng and
John W. Glasser and
Kristie E. N. Clarke and
Jefferson N. Jones Analysis of metapopulation models of the
transmission of SARS--CoV-2 in the
United States . . . . . . . . . . . . . ??
Alexey Zabelkin and
Pavel Avdeyev and
Nikita Alexeev TruEst: a better estimator of
evolutionary distance under the INFER
model . . . . . . . . . . . . . . . . . ??
Antony Pearson and
Manuel E. Lladser On latent idealized models in symbolic
datasets: unveiling signals in noisy
sequencing data . . . . . . . . . . . . ??
Dimitris G. Patsatzis and
Dimitris A. Goussis Algorithmic criteria for the validity of
quasi-steady state and partial
equilibrium models: the
Michaelis--Menten reaction mechanism . . ??
Jemal Mohammed-Awel and
Abba B. Gumel Can insecticide resistance increase
malaria transmission? A
genetics-epidemiology mathematical
modeling approach . . . . . . . . . . . ??
Runzi He and
Xiaofeng Luo and
Joshua Kiddy K. Asamoah and
Yongxin Zhang and
Yihong Li and
Zhen Jin and
Gui-Quan Sun A hierarchical intervention scheme based
on epidemic severity in a community
network . . . . . . . . . . . . . . . . ??
Léna Kläy and
Léo Girardin and
Vincent Calvez and
Florence Débarre Pulled, pushed or failed: the
demographic impact of a gene drive can
change the nature of its spatial spread ??
Fabián Mauricio Vélez Salazar and
Iván David Patiño Arcila Influence of electric pulse
characteristics on the cellular
internalization of chemotherapeutic
drugs and cell survival fraction in
electroporated and vasoconstricted
cancer tissues using boundary element
techniques . . . . . . . . . . . . . . . ??
Rams\`es Djidjou-Demasse and
Ibou Goudiaby and
Ousmane Seydi Growth bound and threshold dynamic for
nonautonomous nondensely defined
evolution problems . . . . . . . . . . . ??
Vahini Reddy Nareddy and
Jonathan Machta and
Karen Abbott and
Shadisadat Esmaeili and
Alan Hastings Modeling and prediction of phase shifts
in noisy two-cycle oscillations . . . . ??
Chad Clark and
Julius Jonu\vsas and
James D. Mitchell and
Andrew Francis An algebraic model for inversion and
deletion in bacterial genome
rearrangement . . . . . . . . . . . . . ??
Mikko S. Pakkanen and
Xenia Miscouridou and
Matthew J. Penn and
Charles Whittaker and
Tresnia Berah and
Swapnil Mishra and
Thomas A. Mellan and
Samir Bhatt Unifying incidence and prevalence under
a time-varying general branching process ??
István Z. Kiss and
Eben Kenah and
Grzegorz A. Rempa\la Necessary and sufficient conditions for
exact closures of epidemic equations on
configuration model networks . . . . . . ??
Christopher Kribs and
Shigui Ruan and
Zhilan Feng A celebration of Fred Brauer's legacy in
mathematical biology . . . . . . . . . . ??
Frédéric M. Hamelin and
Frank M. Hilker and
Yves Dumont Spatial spread of infectious diseases
with conditional vector preferences . . ??
Xiaoqing He and
Wei-Ming Ni and
Haoyi Wang Dynamics of consumer-resource
reaction-diffusion models: single and
multiple consumer species . . . . . . . ??
Jean-Baptiste Burie and
Arnaud Ducrot and
Quentin Griette Asymptotic behavior of an epidemic model
with infinitely many variants . . . . . ??
Lei Wang and
Zhidong Teng and
Xi Huo and
Kai Wang and
Xiaomei Feng A stochastic dynamical model for
nosocomial infections with
co-circulation of sensitive and
resistant bacterial strains . . . . . . ??
Shashank Goel and
Sumit Kaur Bhatia and
Jai Prakash Tripathi and
Sarita Bugalia and
Mansi Rana and
Vijay Pal Bajiya SIRC epidemic model with cross-immunity
and multiple time delays . . . . . . . . ??
Mark Sinzger-D'Angelo and
Sofia Startceva and
Heinz Koeppl Bye bye, linearity, bye: quantification
of the mean for linear CRNs in a random
environment . . . . . . . . . . . . . . ??
J. Dimaschko and
V. Shlyakhover and
M. Iabluchanskyi Strong biological correlations as a
cause of autonomous oscillations in
epidemics . . . . . . . . . . . . . . . ??
J. C. Macdonald and
H. Gulbudak Forward hysteresis and Hopf bifurcation
in an Npzd model with application to
harmful algal blooms . . . . . . . . . . ??
Hao Kang Asymptotic behavior of the basic
reproduction number in an age-structured
SIS epidemic patch model . . . . . . . . ??
Violette Doublet and
Lionel Roques and
Etienne K. Klein and
François Lef\`evre and
Thomas Boivin Seed predation-induced Allee effects,
seed dispersal and masting jointly drive
the diversity of seed sources during
population expansion . . . . . . . . . . ??
Thi Minh Thao Le and
Erida Gjini and
Sten Madec Quasi-neutral dynamics in a coinfection
system with $N$ strains and asymmetries
along multiple traits . . . . . . . . . ??
Michiel Bertsch and
Bruno Franchi and
Maria Carla Tesi and
Veronica Tora The role of A$ \beta $ and Tau proteins
in Alzheimer's disease: a mathematical
model on graphs . . . . . . . . . . . . ??
Frederik Wieder and
Martin Henk and
Alexander Bockmayr On the geometry of elementary flux modes ??
Justin Wright and
Kelly Buch and
Ursula K. Beattie and
Brenna M. G. Gormally and
L. Michael Romero and
Nina Fefferman A mathematical representation of the
reactive scope model . . . . . . . . . . ??
Christoph Walker Well-posedness and stability analysis of
an epidemic model with infection age and
spatial diffusion . . . . . . . . . . . ??
Marcus Overwater and
Daniel Pelletier and
Mike Steel The expected loss of feature diversity
(versus phylogenetic diversity)
following rapid extinction at the
present . . . . . . . . . . . . . . . . ??
Simon Schardt and
Sabine C. Fischer Adjusting the range of cell-cell
communication enables fine-tuning of
cell fate patterns from checkerboard to
engulfing . . . . . . . . . . . . . . . ??
Jingjing Xu and
Zhen Wang and
Seyed M. Moghadas Modelling the effect of travel-related
policies on disease control in a
meta-population structure . . . . . . . ??
Anton Bovier and
Lisa Hartung The speed of invasion in an advancing
population . . . . . . . . . . . . . . . ??
Nora M. Gilbertson and
Mark Kot Block-pulse integrodifference equations ??
Jai Prakash Tripathi and
Deepak Tripathi and
Swarnendu Mandal and
Manish Dev Shrimali Cannibalistic enemy-pest model: effect
of additional food and harvesting . . . ??
Aaron Li and
Danika Kibby and
Jasmine Foo A comparison of mutation and
amplification-driven resistance
mechanisms and their impacts on tumor
recurrence . . . . . . . . . . . . . . . ??
Carolin Grumbach and
Femke N. Reurik and
Juan Segura and
Daniel Franco and
Frank M. Hilker The effect of dispersal on asymptotic
total population size in discrete- and
continuous-time two-patch models . . . . ??
Shoshana Elgart A perturbative approach to the analysis
of many-compartment models characterized
by the presence of waning immunity . . . ??
Tung D. Nguyen and
Yixiang Wu and
Tingting Tang and
Amy Veprauskas and
Ying Zhou and
Behzad Djafari Rouhani and
Zhisheng Shuai Impact of resource distributions on the
competition of species in stream
environment . . . . . . . . . . . . . . ??
Alexander Roitershtein and
Reza Rastegar and
Robert S. Chapkin and
Ivan Ivanov Extinction scenarios in evolutionary
processes: a multinomial Wright--Fisher
approach . . . . . . . . . . . . . . . . ??
Jnanajyoti Bhaumik and
Naoki Masuda Fixation probability in evolutionary
dynamics on switching temporal networks ??
Vincent Fromion and
Philippe Robert and
Jana Zaherddine Stochastic models of regulation of
transcription in biological cells . . . ??
Zhong-Kai Guo and
Hai-Feng Huo and
Hong Xiang and
Qiu-Yan Ren Global dynamics of a tuberculosis model
with age-dependent latency and time
delays in treatment . . . . . . . . . . ??
F. Guillén-González and
E. Sevillano-Castellano and
A. Suárez Fitting parameters and therapies of ODE
tumor models with senescence and immune
system . . . . . . . . . . . . . . . . . ??
Matthieu Alfaro and
François Hamel and
Florian Patout and
Lionel Roques Adaptation in a heterogeneous
environment II: to be three or not to be ??
Annia Abtout and
Jürgen Reingruber Analysis of dim-light responses in rod
and cone photoreceptors with altered
calcium kinetics . . . . . . . . . . . . ??
Simone Linz and
Kristina Wicke Exploring spaces of semi-directed
level-1 networks . . . . . . . . . . . . ??
Junyuan Yang and
Peiqi Jia and
Jin Wang and
Zhen Jin Rich dynamics of a bidirectionally
linked immuno-epidemiological model for
cholera . . . . . . . . . . . . . . . . ??
Tailei Zhang and
Xiao-Qiang Zhao Threshold dynamics of an almost periodic
vector-borne disease model . . . . . . . ??
Feng Rao and
Zhongliang Zhang and
Jiaxu Li Dynamical analysis of a glucose-insulin
regulatory system with insulin-degrading
enzyme and multiple delays . . . . . . . ??
Emily Howerton and
Kyle Dahlin and
Christina J. Edholm and
Lindsey Fox and
Margaret Reynolds and
Brandon Hollingsworth and
George Lytle and
Melody Walker and
Julie Blackwood and
Suzanne Lenhart The effect of governance structures on
optimal control of two-patch epidemic
models . . . . . . . . . . . . . . . . . ??
Will Dumm and
Mary Barker and
William Howard-Snyder and
William S. DeWitt III and
Frederick A. Matsen IV Representing and extending ensembles of
parsimonious evolutionary histories with
a directed acyclic graph . . . . . . . . ??
Maike L. Morrison and
Noah A. Rosenberg Mathematical bounds on Shannon entropy
given the abundance of the $i$-th most
abundant taxon . . . . . . . . . . . . . ??
M. H. Duong and
C. M. Durbac and
T. A. Han Cost optimisation of hybrid
institutional incentives for promoting
cooperation in finite populations . . . ??
Martin L. Mann-Manyombe and
Abdoulaye Mendy and
Ousmane Seydi and
Rams\`es Djidjou-Demasse Linking within- and between-host scales
for understanding the evolutionary
dynamics of quantitative antimicrobial
resistance . . . . . . . . . . . . . . . ??
Gerardo Chowell and
Sushma Dahal and
Yuganthi R. Liyanage and
Amna Tariq and
Necibe Tuncer Structural identifiability analysis of
epidemic models based on differential
equations: a tutorial-based primer . . . ??
Madi Yerlanov and
Piyush Agarwal and
Caroline Colijn and
Jessica E. Stockdale Effective population size in simple
infectious disease models . . . . . . . ??
Rui Peng and
Zhi-An Wang and
Guanghui Zhang and
Maolin Zhou Novel spatial profiles of some diffusive
SIS epidemic models . . . . . . . . . . ??
Denise Cammarota and
Noemi Zeraick Monteiro and
Rafael Menezes and
Hugo Fort and
Angel M. Segura Lotka--Volterra model with Allee effect:
equilibria, coexistence and size scaling
of maximum and minimum abundance . . . . ??
Frank Ball and
Liam Critcher and
Peter Neal and
David Sirl The impact of household structure on
disease-induced herd immunity . . . . . ??
Michael C. Dallaston and
Geneva Birtles and
Robyn P. Araujo and
Adrianne L. Jenner The effect of chemotaxis on T-cell
regulatory dynamics . . . . . . . . . . ??
Tuan Anh Phan and
Farhana Sarower and
Jinqiao Duan and
Jianjun Paul Tian Stochastic dynamics of human
papillomavirus delineates cervical
cancer progression . . . . . . . . . . . ??
Ming-Hui Ding and
Hongyu Liu and
Guang-Hui Zheng On inverse problems for several coupled
PDE systems arising in mathematical
biology . . . . . . . . . . . . . . . . ??
M. Gabriela Navas-Zuloaga and
Kaitlin M. Baudier and
Jennifer H. Fewell and
Noam Ben-Asher and
Theodore P. Pavlic and
Yun Kang A modeling framework for adaptive
collective defense: crisis response in
social-insect colonies . . . . . . . . . ??
Peter Olofsson and
Logan Chipkin and
Ryan C. Daileda and
Ricardo B. R. Azevedo Mutational meltdown in asexual
populations doomed to extinction . . . . ??
Nizhum Rahman and
Dietmar B. Oelz A mathematical model for axonal
transport of large cargo vesicles . . . ??
Guijie Lan and
Sanling Yuan and
Baojun Song Threshold behavior and exponential
ergodicity of an SIR epidemic model: the
impact of random jamming and hospital
capacity . . . . . . . . . . . . . . . . ??
Derdei M. Bichara Characterization of differential
susceptibility and differential
infectivity epidemic models . . . . . . ??
Thomas Hillen and
Nadia Loy and
Kevin J. Painter and
Ryan Thiessen Modelling microtube driven invasion of
glioma . . . . . . . . . . . . . . . . . ??
Lili Chang and
Xinyu Wang and
Guiquan Sun and
Zhen Wang and
Zhen Jin A time independent least squares
algorithm for parameter identification
of Turing patterns in
reaction--diffusion systems . . . . . . ??
Gülsah Yeni and
Elvan Akin and
Naveen K. Vaidya Time scale theory on stability of
explicit and implicit discrete epidemic
models: applications to Swine flu
outbreak . . . . . . . . . . . . . . . . ??
Somya Mehra and
James M. McCaw and
Peter G. Taylor Superinfection and the hypnozoite
reservoir for \bionamePlasmodium vivax:
a general framework . . . . . . . . . . ??
Muhammad Sajjad Shabbir and
Qamar Din and
Manuel De la Sen and
J. F. Gómez-Aguilar Exploring dynamics of plant-herbivore
interactions: bifurcation analysis and
chaos control with Holling type-II
functional response . . . . . . . . . . ??
Pierre Magal A return-to-home model with commuting
people and workers . . . . . . . . . . . ??
Hannah G. Anderson and
Gregory P. Takacs and
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Cameron Clarke and
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Kaitlyn Toth and
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San-Xing Wu and
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Adam Mielke and
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Andrew Francis and
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Maxime Estavoyer and
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Alain Goriely and
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Kerry Manson The robustness of phylogenetic diversity
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Qi Deng and
Ting Guo and
Zhipeng Qiu and
Yuming Chen A mathematical model for HIV dynamics
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Somya Mehra and
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Alicia Dickenstein and
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Margaret L. Brandeau Vaccination for communicable endemic
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Subrata Dey and
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Matt Dopson and
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Huarong Ren and
Rui Xu Prevention and control of Ebola virus
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Haichun Kan and
Yu Chen Revealing endogenous conditions for
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Yang Hua and
Zengji Du and
Jiang Liu Dynamics of the epidemiological
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Qun Liu Dynamical analysis of a stochastic maize
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Hyunjoon Park and
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Alex P. Farrell and
James P. Collins and
Amy L. Greer and
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Duo Bai and
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Jiawei Deng and
Hongying Shu and
Sanyi Tang and
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Hiromi Seno Persistent prey species in the
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Wei-Ming Ni and
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Athanasios Benetos and
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Yan-Xia Feng and
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Huimin Hu and
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Lili Yu and
Christopher C. Whalen and
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Ning Wang and
Long Zhang and
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E. Franco and
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Islam M. Elbaz and
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Bo Zheng and
Huichao Yang and
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Yongli Cai and
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Georg Grasegger and
Kaie Kubjas and
Fatemeh Mohammadi and
Anthony Nixon Single-cell 3D genome reconstruction in
the haploid setting using rigidity
theory . . . . . . . . . . . . . . . . . ??
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