Journal of Mathematical Biology

Papers
(The median citation count of Journal of Mathematical Biology is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
The influence of synaptic plasticity on critical coupling estimates for neural populations78
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation56
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience43
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model32
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment32
Nonlinear diffusion in multi-patch logistic model31
Global dynamics of a generalist predator–prey model in open advective environments29
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele28
Modelling non-local cell-cell adhesion: a multiscale approach27
Optimal vaccine allocation for the control of sexually transmitted infections25
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species24
Continuous approximations for the fixation probability of the Moran processes on star graphs24
Tumor growth and population modeling in a toxicant-stressed random environment23
Threshold dynamics of an age-structured HIV model with virus-to-cell, cell-to-cell transmissions, and CTL immune response23
Emergence of microbial host dormancy during a persistent virus epidemic23
Walk this way: modeling foraging ant dynamics in multiple food source environments23
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions22
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data22
Spectral theory of stochastic gene expression: a Hilbert space framework22
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches20
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections20
An integral renewal equation approach to behavioural epidemic models with information index20
Classes of explicit phylogenetic networks and their biological and mathematical significance19
Network transformation-based analysis of biochemical systems19
Contribution to the study of a pre-exposure prophylaxis HIV model19
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance19
Accessibility percolation on Cartesian power graphs19
Operating diagrams for a three-tiered microbial food web in the chemostat18
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes18
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing18
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks17
A model and a numerical scheme for the description of distribution and abundance of individuals17
Phase-field model of bilipid membrane electroporation16
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment16
Bifurcation analysis for a single population model with advection16
Spatio-temporal pattern formation under varying functional response parametrizations16
The arithmetic topology of genetic alignments15
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases15
Mathematical properties of pump-leak-cotransport models15
On the reduction of stochastic chemical reaction networks14
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient14
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity14
Necessary and sufficient condition for hysteresis in the mathematical model of the cell type regulation of Bacillus subtilis14
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems14
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator14
A hierarchical intervention scheme based on epidemic severity in a community network14
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy14
Description of chemical systems by means of response functions13
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors13
Convective stability of the critical waves of an FKPP-type model for self-organized growth13
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity13
Vector-borne disease outbreak control via instant releases13
Fractional derivatives in biomathematical models with memory: A critical discussion13
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche13
Optimal control of monomers and oligomers degradation in an Alzheimer’s disease model13
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows12
Graph-based, dynamics-preserving reduction of (bio)chemical systems12
Locked fronts in a discrete time discrete space population model12
Efficiency functionals for the Lévy flight foraging hypothesis12
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines12
Coexistence and extinction in flow-kick systems: An invasion growth rate approach12
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data12
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach12
Effective population size in simple infectious disease models12
Optimal bandwidth selection in stochastic regression of Bio-FET measurements12
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach12
Bifurcations induced by nonlocal spatial memory versus nonlocal perception11
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods11
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain11
50 Years Journal of Mathematical Biology11
Limits of epidemic prediction using SIR models11
General conditions for Turing and wave instabilities in reaction -diffusion systems11
An algebraic model for inversion and deletion in bacterial genome rearrangement11
A return-to-home model with commuting people and workers11
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic11
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem11
Confinement tonicity on epidemic spreading11
Cannibalistic enemy–pest model: effect of additional food and harvesting11
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir10
The structure of the genetic code as an optimal graph clustering problem10
Global dynamics of an age-structured cholera model with saturation incidence and multiple transmission pathways10
Dynamics of a kinetic model describing protein transfers in a cell population10
Vertex results for the robust analysis of uncertain biochemical systems10
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior10
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study10
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale10
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system10
Contact tracing & super-spreaders in the branching-process model10
The Pfaffian Structure of CFN Phylogenetic Networks10
An age-dependent immuno-epidemiological model with distributed recovery and death rates10
Biological invasion with a porous medium type diffusion in a heterogeneous space10
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory10
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics9
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly9
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods9
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread9
Site-bond percolation model of epidemic spreading with vaccination in complex networks9
The impact of household structure on disease-induced herd immunity9
Persistence in a large network of sparsely interacting neurons9
An age-of-infection model with both symptomatic and asymptomatic infections9
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply9
Optimal vaccination policy to prevent endemicity: a stochastic model9
Walks with jumps: a neurobiologically motivated class of paths in the hyperbolic plane9
Specieslike clusters based on identical ancestor points9
Stochastic control of ecological networks9
A multiscale theory for network advection- reaction-diffusion9
Exchangeable coalescents beyond the Cannings class8
A West Nile virus nonlocal model with free boundaries and seasonal succession8
Infection-induced increases to population size during cycles in a discrete-time epidemic model8
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells8
Long-term behavior of stochastic SIQRS epidemic models8
A Kermack–McKendrick type epidemic model with double threshold phenomenon (and a possible application to Covid-19)8
Staged HIV transmission and treatment in a dynamic model with long-term partnerships8
The hybrid number of a ploidy profile8
Filtering coupled Wright–Fisher diffusions8
Parasite infection in a cell population: role of the partitioning kernel8
Optimizing insecticide deployment strategies to delay quantitative resistance in mosquito populations8
In distributive phosphorylation catalytic constants enable non-trivial dynamics8
Infinitesimal homeostasis in mass-action systems8
Stabilising spatiotemporal dynamics of mussel–algae coupled map lattices model via proportional–differential control8
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States8
Data driven modeling of pseudopalisade pattern formation8
Impact of network connectivity on the dynamics of populations in stream environments8
Perceptive movement of susceptible individuals with memory8
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species8
A predator-prey model with age-structured role reversal8
Front propagation in the shadow wave-pinning model8
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect8
Dynamical mechanisms of inflammatory spatial distribution and its association with recurrence in Crohn’s disease8
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth8
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species8
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality8
Interaction between harvesting intervention and birth perturbation in an age-structured model8
Multistability shifts in an aird vegetation system with nonlocal water absorption effect7
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust7
Stochastic dynamics of an SIS epidemic on networks7
Phase field modeling and computation of vesicle growth or shrinkage7
STDP-based associative memory formation and retrieval7
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment7
Harmonic fields and the mechanical response of a cellular monolayer to ablation7
Stochastic branching models for the telomeres dynamics in a model including telomerase activity7
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics7
Effects and biological consequences of the predator-mediated apparent competition I: ODE models7
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading7
Wave speed and critical patch size for integro-difference equations with a strong Allee effect7
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs7
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models7
A p-adic reaction-diffusion model of branching coral growth and calcification dynamics7
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity7
Stochastic transmission in epidemiological models7
A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds7
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation6
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications6
When can a population spreading across sink habitats persist?6
Foundations of static and dynamic absolute concentration robustness6
Stoichiometric theory in optimal foraging strategy6
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment6
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach6
Evolution of a trait distributed over a large fragmented population: propagation of chaos meets adaptive dynamics6
Multi-objective control to schedule therapies for acute viral infections6
Evaluation of age-structured vaccination strategies for curbing the disease spread6
Memory effects in disease modelling through kernel estimates with oscillatory time history6
Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response6
Resource allocation in a PDE ecosystem model6
A model for contractile stress fibers embedded in bulk actomyosin networks6
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation6
Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis6
A replicator model with transport dynamics on networks for species evolution6
Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism6
Human mobility and disease prevalence6
Cyclic attractors of nonexpanding q-ary networks6
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release6
The persistence of bipartite ecological communities with Lotka–Volterra dynamics6
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator6
An aggregation model of cockroaches with fast-or-slow motion dichotomy6
An epidemic model with short-lived mixing groups5
Universality of the mean-field equations of networks of Hopfield-like neurons5
Trimming to coexistence: how dispersal strategies should be accounted for in resource management5
Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model5
Mixed uncertainty analysis on pumping by peristaltic hearts using Dempster–Shafer theory5
Rate-induced tipping in a lake eutrophication model coupled with human activities5
Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus5
Evolution of pathogen tolerance and reproductive trade-off implications5
Effects of anisotropic diffusion in heterogeneous time-periodic environments5
Global dynamics of a reaction-diffusion switching model with multiple stable states and linear harvesting rate5
Global dynamics in a reaction-diffusion competition model with edge behavior5
The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems5
Dispersal-induced growth in a time-periodic environment5
Spatial ecology, optimal control and game theoretical fishing problems5
The work of Pierre Magal on differential equations, functional analysis and mathematical biology5
Enumeration of binary trees compatible with a perfect phylogeny5
When can we reconstruct the ancestral state? Beyond Brownian motion5
Mathematical analysis of topological and random m-order spread models5
Mutational meltdown in asexual populations doomed to extinction5
Strongly nonlinear age-structured equation, time-elapsed model and large delays5
A stochastic hierarchical model for low grade glioma evolution5
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics5
Noise-driven bifurcations in a neural field system modelling networks of grid cells5
A Model for Cell Proliferation in a Developing Organism5
Equilibrium and surviving species in a large Lotka–Volterra system of differential equations5
The impact of oxygen heterogeneity on epithelial-mesenchymal transitions: a numerical study5
A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations5
Global dynamics of a two-species competition patch model in a Y-shaped river network5
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour5
A mathematical model for axonal transport of large cargo vesicles5
Integrodifference models for evolutionary processes in biological invasions5
Heteroclinic cycling and extinction in May–Leonard models with demographic stochasticity5
Positive and negative role of random perturbations in the dynamics of a tumor-immune system with treatment5
Computation of random time-shift distributions for stochastic population models5
Quasispecies dynamics with time lags and periodic fluctuations in replication5
Dynamics of an epidemic metapopulation system with heterogeneous threshold control and implications for threshold policy design5
On a model of evolution of subspecies5
The effects of spatially-constrained treatment regions upon a model of wombat mange5
Geometry of fitness landscapes: peaks, shapes and universal positive epistasis5
Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density5
A Ca2+ puff model based on integrodifferential equations4
Global bifurcation dynamics in an SIRS model with nonlinear incidence and double exposure4
A new algebraic approach to genome rearrangement models4
Effects of whaling and krill fishing on the whale–krill predation dynamics: bifurcations in a harvested predator–prey model with Holling type I functional response4
Predator-prey system with a boundary-upstream protection zone in open advective environments4
A coupled algebraic-delay differential system modeling tick-host interactive behavioural dynamics and multi-stability4
Propagation and blocking of bistable waves by variable diffusion4
Perturbation theory for evolution of cooperation on networks4
Evaluating the long-term effects of combination antiretroviral therapy of HIV infection: a modeling study4
The robustness of phylogenetic diversity indices to extinctions4
A hybrid Lagrangian–Eulerian model for vector-borne diseases4
Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis–Menten reaction mechanism4
Population size in stochastic discrete-time ecological dynamics4
Duration of transients in outbreaks: when can infectiousness be estimated?4
Another view of sequential sampling in the birth process with immigration4
Petri nets in epidemiology4
Can insecticide resistance increase malaria transmission? A genetics-epidemiology mathematical modeling approach4
A mosquito population suppression model with a saturated Wolbachia release strategy in seasonal succession4
Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera4
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors4
Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems4
Fast propagation in cooperative reducible reaction-diffusion systems4
A seasonal succession model for frog population dynamics with mating behaviors4
Fixation probability in evolutionary dynamics on switching temporal networks4
Exploring spaces of semi-directed level-1 networks4
Cumulative damage for multi-type epidemics and an application to infectious diseases4
Sensitivity of the electrical response of a node of Ranvier model to alterations of the myelin sheath geometry4
Mathematical dissection of tumor phenotypic heterogeneity in a spatial data-informed nonlocal reaction-diffusion model4
A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer4
Correction to: Reaction, diffusion and non-local interaction4
Population games with instantaneous behavior and the Rosenzweig–MacArthur model4
Spatial spread of infectious diseases with conditional vector preferences4
Characterization of differential susceptibility and differential infectivity epidemic models4
Optimal protein production by a synthetic microbial consortium: coexistence, distribution of labor, and syntrophy4
Tumor containment: a more general mathematical analysis4
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