Journal of Mathematical Biology

Article	Citations
Population games with instantaneous behavior and the Rosenzweig–MacArthur model	45
Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique	41
Traveling waves in non-local pulse-coupled networks	36
The role of natural recovery category in malaria dynamics under saturated treatment	34
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect	32
The influence of synaptic plasticity on critical coupling estimates for neural populations	30
A branching model for intergenerational telomere length dynamics	29
A spatial multiscale mathematical model of Plasmodium vivax transmission	24
Analytic solutions for the circadian oscillator characterize cycle dynamics and its robustness	22
Analytical solution of phosphate kinetics for hemodialysis	21
Two results about the Sackin and Colless indices for phylogenetic trees and their shapes	21
Revealing endogenous conditions for Peto’s paradox via an ordinary differential equation model	20
A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence	20
Two wrongs do not make a right: the assumption that an inhibitor acts as an inverse activator	19
Adaptation in a heterogeneous environment II: to be three or not to be	18
Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein–Uhlenbeck process	18
Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments	18
Dynamics of the epidemiological Predator–Prey system in advective environments	18
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele	17
Site-bond percolation model of epidemic spreading with vaccination in complex networks	17
Global dynamics of an age-dependent multiscale hepatitis C virus model	17
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply	17
Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation	16
Optimal vaccine allocation for the control of sexually transmitted infections	16
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion	15

An age-of-infection model with both symptomatic and asymptomatic infections	15
Individual based models exhibiting Lévy-flight type movement induced by intracellular noise	14
Nonlinear diffusion in multi-patch logistic model	14
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation	14
Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact	13
Optimal vaccination: various (counter) intuitive examples	13
A stochastic lipid structured model for macrophage dynamics in atherosclerotic plaques	13
Relative prevalence-based dispersal in an epidemic patch model	13
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species	12
Optimal control of bioproduction in the presence of population heterogeneity	12
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process	12
An estimator for the recombination rate from a continuously observed diffusion of haplotype frequencies	12
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties	11
A reaction–diffusion model of spatial propagation of A$$\beta $$ oligomers in early stage Alzheimer’s disease	11
Modelling the interplay between the CD4$$^{+}$$/CD8$$^{+}$$ T-cell ratio and the expression of MHC-I in tumours	11
Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems	11
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model	11
Pedigree in the biparental Moran model	10
Occupancy times for time-dependent stage-structured models	10
Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment	10
Stability of a one-dimensional morphoelastic model for post-burn contraction	10
Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach	9
Modeling tumour heterogeneity of PD-L1 expression in tumour progression and adaptive therapy	9
A spatial measure-valued model for radiation-induced DNA damage kinetics and repair under protracted irradiation condition	9
Comparative analysis of continuum angiogenesis models	9
Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment	9
Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria	9
Persistence in a large network of sparsely interacting neurons	9
Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera	8
Stochastic control of ecological networks	8
Gain and loss of function mutations in biological chemical reaction networks: a mathematical model with application to colorectal cancer cells	8
Optimal protein production by a synthetic microbial consortium: coexistence, distribution of labor, and syntrophy	8
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay	8
Mathematical indices for the influence of risk factors on the lethality of a disease	8
Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations	8
Modelling non-local cell-cell adhesion: a multiscale approach	8
On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees	8
A systematic search for switch-like behavior in type II toxin–antitoxin systems	7
The robustness of phylogenetic diversity indices to extinctions	7
Quasi-steady-state reduction of a model for cytoplasmic transport of secretory vesicles in stimulated chromaffin cells	7
Parameter estimation in fluorescence recovery after photobleaching: quantitative analysis of protein binding reactions and diffusion	7
Three-stage modeling of HIV infection and implications for antiretroviral therapy	7
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread	7
Fast and precise inference on diffusivity in interacting particle systems	7
Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel	7
COVID-19-associated pulmonary aspergillosis in immunocompetent patients: a virtual patient cohort study	7
The importance of quarantine: modelling the COVID-19 testing process	7
Propagation dynamics for an age-structured population model in time-space periodic habitat	7
Perturbation theory for evolution of cooperation on networks	7
The role of A$$\beta $$ and Tau proteins in Alzheimer’s disease: a mathematical model on graphs	7

Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy	7
Mutational meltdown in asexual populations doomed to extinction	7
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells	7
Asymptotic behavior of an epidemic model with infinitely many variants	7
Inferring density-dependent population dynamics mechanisms through rate disambiguation for logistic birth-death processes	7
How influenza vaccination and virus interference may impact combined influenza-coronavirus disease burden	7
A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models	6
Calibration of stochastic, agent-based neuron growth models with approximate Bayesian computation	6
Vector-borne disease models with Lagrangian approach	6
SIRC epidemic model with cross-immunity and multiple time delays	6
Correction: An SIRS model with nonmonotone incidence and saturated treatment in a changing environment	6
Dimensionality reduction via path integration for computing mRNA distributions	6
The expected loss of feature diversity (versus phylogenetic diversity) following rapid extinction at the present	6
The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: the case of stacked underdominant clines	6
Stability bounds of a delay visco-elastic rheological model with substrate friction	6
Characterization of differential susceptibility and differential infectivity epidemic models	6
Spatial dynamics of a vegetation model with uptake–diffusion feedback in an arid environment	6
A hybrid Lagrangian–Eulerian model for vector-borne diseases	6
Embedding of Markov matrices for $$\varvec{d \leqslant 4}$$	6
Correction to: Modeling insect growth regulators for pest management	6
Walk this way: modeling foraging ant dynamics in multiple food source environments	6
A general theory of coexistence and extinction for stochastic ecological communities	6
Fixation probabilities in evolutionary dynamics under weak selection	6
Global dynamics of a generalist predator–prey model in open advective environments	6
Evolutionary branching in multi-level selection models	6
A Markovian arrival stream approach to stochastic gene expression in cells	6
A time independent least squares algorithm for parameter identification of Turing patterns in reaction–diffusion systems	6
Modeling insect growth regulators for pest management	6
The effect of viscoelasticity of the tissue on the magneto-responsive drug delivery system	6
Exploring how ecological and epidemiological processes shape multi-host disease dynamics using global sensitivity analysis	6
Optimal control of bi-seasonal hand, foot and mouth disease in mainland China suggests transmission from children and isolating older infected individuals are critical	6
A game-theoretical dynamic imitation model on networks	5
An analytical and comparative study of swallowing in a tumor-infected oesophagus: a mathematical model	5
Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis–Menten reaction mechanism	5
Impact of tetravalent dengue vaccination with screening, ADE, and altered infectivity on single-serotype dengue and Zika transmission	5
The (human) respiratory rate at rest	5
Noise dissipation in gene regulatory networks via second order statistics of networks of infinite server queues	5
Front propagation in the shadow wave-pinning model	5
Can insecticide resistance increase malaria transmission? A genetics-epidemiology mathematical modeling approach	5
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors	5
Effectiveness of isolation measures with app support to contain COVID-19 epidemics: a parametric approach	5
Spatial spread of infectious diseases with conditional vector preferences	5
A coupled algebraic-delay differential system modeling tick-host interactive behavioural dynamics and multi-stability	5
Tumor growth and population modeling in a toxicant-stressed random environment	5
Plastic energy allocation toward life-history functions in a consumer-resource interaction	5
The existence and stability of spikes in the one-dimensional Keller–Segel model with logistic growth	5
Forward-backward and period doubling bifurcations in a discrete epidemic model with vaccination and limited medical resources	5
Continuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models	5
Spectral properties of a non-compact operator in ecology	5
Bayesian inversion of a diffusion model with application to biology	5
A mosquito population suppression model with a saturated Wolbachia release strategy in seasonal succession	5
A simple in-host model for COVID-19 with treatments: model prediction and calibration	5
Seed predation-induced Allee effects, seed dispersal and masting jointly drive the diversity of seed sources during population expansion	5
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species	5
Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth	5
‘Holey’ niche! finding holes in niche hypervolumes using persistence homology	5
Generating function approach to the effective degree SIR model	5
The coalescent tree of a Markov branching process with generalised logistic growth	5
On the optimal control of SIR model with Erlang-distributed infectious period: isolation strategies	5
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach	5
TruEst: a better estimator of evolutionary distance under the INFER model	5
The role of mode switching in a population of actin polymers with constraints	5
Pace and motor control optimization for a runner	4
Modeling the voltage distribution in a non-locally but globally electroneutral confined electrolyte medium: applications for nanophysiology	4
Forward hysteresis and Hopf bifurcation in an Npzd model with application to harmful algal blooms	4
Imperfect and Bogdanov–Takens bifurcations in biological models: from harvesting of species to isolation of infectives	4
Structural stability of invasion graphs for Lotka–Volterra systems	4
Permanence via invasion graphs: incorporating community assembly into modern coexistence theory	4
Analysis of a mathematical model of immune response to fungal infection	4
Wolbachia invasion dynamics of a random mosquito population model with imperfect maternal transmission and incomplete CI	4
Optimal control by deep learning techniques and its applications on epidemic models	4
The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling	4
Effects of whaling and krill fishing on the whale–krill predation dynamics: bifurcations in a harvested predator–prey model with Holling type I functional response	4
Perceptive movement of susceptible individuals with memory	4
Global dynamics of the chemostat with overflow metabolism	4
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions	4
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data	4
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth	4
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species	4
Evolution of anisotropic diffusion in two-dimensional heterogeneous environments	4

Corrigendum to “Best match graphs”	4
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States	4
A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer	4
Tumor containment: a more general mathematical analysis	4
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance	4
In distributive phosphorylation catalytic constants enable non-trivial dynamics	4
Differential equation model for central-place foragers with memory: implications for bumble bee crop pollination	4
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling	4
Classes of explicit phylogenetic networks and their biological and mathematical significance	4
Correction to: General conditions for Turing and wave instabilities in reaction–diffusion systems	4
Replicator dynamics on heterogeneous networks	4
The large-sample asymptotic behaviour of quartet-based summary methods for species tree inference	4
An immuno-epidemiological model with waning immunity after infection or vaccination	4
Infection-induced increases to population size during cycles in a discrete-time epidemic model	4
Vectorial crystallization problems and collective behavior	4
On the qualitative study of a two-trophic plant–herbivore model	4
Learning spiking neuronal networks with artificial neural networks: neural oscillations	4
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view	4