Journal of Mathematical Biology

Papers
(The TQCC of Journal of Mathematical Biology is 5. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
Occupancy times for time-dependent stage-structured models58
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species55
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele49
The influence of synaptic plasticity on critical coupling estimates for neural populations45
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation37
Modelling non-local cell-cell adhesion: a multiscale approach36
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience30
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model28
Stability bounds of a delay visco-elastic rheological model with substrate friction26
Optimal vaccine allocation for the control of sexually transmitted infections26
Nonlinear diffusion in multi-patch logistic model26
Global dynamics of a generalist predator–prey model in open advective environments23
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties23
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment23
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance22
Tumor growth and population modeling in a toxicant-stressed random environment21
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections21
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions21
Walk this way: modeling foraging ant dynamics in multiple food source environments20
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data20
Classes of explicit phylogenetic networks and their biological and mathematical significance19
An integral renewal equation approach to behavioural epidemic models with information index18
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks18
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches18
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes17
Contribution to the study of a pre-exposure prophylaxis HIV model17
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves17
A model and a numerical scheme for the description of distribution and abundance of individuals16
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing16
Mathematical model for the estrogen paradox in breast cancer treatment16
Accessibility percolation on Cartesian power graphs16
Operating diagrams for a three-tiered microbial food web in the chemostat16
Phase-field model of bilipid membrane electroporation16
Network transformation-based analysis of biochemical systems16
Bifurcation analysis for a single population model with advection16
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment16
Mathematical properties of pump-leak-cotransport models15
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases15
Description of chemical systems by means of response functions14
The arithmetic topology of genetic alignments14
Life history traits and dispersal shape neutral genetic diversity in metapopulations14
Classification of infinitesimal homeostasis in four-node input–output networks14
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient14
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors14
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
On the reduction of stochastic chemical reaction networks13
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy13
A hierarchical intervention scheme based on epidemic severity in a community network12
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements12
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems12
Vector-borne disease outbreak control via instant releases11
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator11
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach11
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic11
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity11
Convective stability of the critical waves of an FKPP-type model for self-organized growth11
Ancestral state reconstruction with large numbers of sequences and edge-length estimation11
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data11
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity11
Locked fronts in a discrete time discrete space population model11
Traveling waves of an FKPP-type model for self-organized growth11
Optimal bandwidth selection in stochastic regression of Bio-FET measurements10
Graph-based, dynamics-preserving reduction of (bio)chemical systems10
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach10
General conditions for Turing and wave instabilities in reaction -diffusion systems10
Bifurcations induced by nonlocal spatial memory versus nonlocal perception10
Cannibalistic enemy–pest model: effect of additional food and harvesting10
Efficiency functionals for the Lévy flight foraging hypothesis10
Coexistence and extinction in flow-kick systems: An invasion growth rate approach10
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines10
Effective population size in simple infectious disease models10
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows10
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods10
Limits of epidemic prediction using SIR models10
Contact tracing & super-spreaders in the branching-process model9
Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects9
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain9
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior9
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory9
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly9
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem9
Biological invasion with a porous medium type diffusion in a heterogeneous space9
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system9
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale9
An algebraic model for inversion and deletion in bacterial genome rearrangement9
Confinement tonicity on epidemic spreading9
The impact of household structure on disease-induced herd immunity9
The structure of the genetic code as an optimal graph clustering problem8
50 Years Journal of Mathematical Biology8
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics8
Optimal vaccination policy to prevent endemicity: a stochastic model8
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect8
Propagation dynamics for an age-structured population model in time-space periodic habitat8
Mathematical indices for the influence of risk factors on the lethality of a disease8
An age-of-infection model with both symptomatic and asymptomatic infections8
A return-to-home model with commuting people and workers8
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir8
Site-bond percolation model of epidemic spreading with vaccination in complex networks8
Stochastic control of ecological networks8
Persistence in a large network of sparsely interacting neurons8
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process8
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread8
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study8
An age-dependent immuno-epidemiological model with distributed recovery and death rates8
Dynamics of a kinetic model describing protein transfers in a cell population8
Vertex results for the robust analysis of uncertain biochemical systems8
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods8
Stabilising spatiotemporal dynamics of mussel–algae coupled map lattices model via proportional–differential control8
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells8
Long-term behavior of stochastic SIQRS epidemic models8
A West Nile virus nonlocal model with free boundaries and seasonal succession7
Interaction between harvesting intervention and birth perturbation in an age-structured model7
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States7
Dynamical mechanisms of inflammatory spatial distribution and its association with recurrence in Crohn’s disease7
Parasite infection in a cell population: role of the partitioning kernel7
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease7
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality7
Staged HIV transmission and treatment in a dynamic model with long-term partnerships7
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species7
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply7
In distributive phosphorylation catalytic constants enable non-trivial dynamics7
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species7
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth7
Infection-induced increases to population size during cycles in a discrete-time epidemic model7
Vectorial crystallization problems and collective behavior7
Front propagation in the shadow wave-pinning model7
Exchangeable coalescents beyond the Cannings class7
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment6
Filtering coupled Wright–Fisher diffusions6
The hybrid number of a ploidy profile6
Stochastic transmission in epidemiological models6
Effects and biological consequences of the predator-mediated apparent competition I: ODE models6
Multi-objective control to schedule therapies for acute viral infections6
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust6
Memory effects in disease modelling through kernel estimates with oscillatory time history6
STDP-based associative memory formation and retrieval6
Multistability shifts in an aird vegetation system with nonlocal water absorption effect6
Stochastic dynamics of an SIS epidemic on networks6
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading6
Perceptive movement of susceptible individuals with memory6
Population dynamics under climate change: persistence criterion and effects of fluctuations6
Foundations of static and dynamic absolute concentration robustness6
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs6
The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study6
Phase field modeling and computation of vesicle growth or shrinkage6
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity6
Data driven modeling of pseudopalisade pattern formation6
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics6
Wave speed and critical patch size for integro-difference equations with a strong Allee effect6
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release6
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation6
Stochastic branching models for the telomeres dynamics in a model including telomerase activity6
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models6
A model for contractile stress fibers embedded in bulk actomyosin networks5
A mathematical model for axonal transport of large cargo vesicles5
Stoichiometric theory in optimal foraging strategy5
The persistence of bipartite ecological communities with Lotka–Volterra dynamics5
Dispersal-induced growth in a time-periodic environment5
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator5
Mixed uncertainty analysis on pumping by peristaltic hearts using Dempster–Shafer theory5
Structural identifiability analysis of age-structured PDE epidemic models5
The effects of spatially-constrained treatment regions upon a model of wombat mange5
An aggregation model of cockroaches with fast-or-slow motion dichotomy5
Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density5
A replicator model with transport dynamics on networks for species evolution5
Spatial ecology, optimal control and game theoretical fishing problems5
Modified quasispecies model: the analysis of a periodic therapy5
Universality of the mean-field equations of networks of Hopfield-like neurons5
An epidemic model with short-lived mixing groups5
Mathematical analysis of topological and random m-order spread models5
Demographic feedbacks can hamper the spatial spread of a gene drive5
Population growth and competition models with decay and competition consistent delay5
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation5
Effects of anisotropic diffusion in heterogeneous time-periodic environments5
Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism5
Heteroclinic cycling and extinction in May–Leonard models with demographic stochasticity5
Evaluation of age-structured vaccination strategies for curbing the disease spread5
Noise-driven bifurcations in a neural field system modelling networks of grid cells5
When can a population spreading across sink habitats persist?5
Enumeration of binary trees compatible with a perfect phylogeny5
Resource allocation in a PDE ecosystem model5
Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response5
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics5
The work of Pierre Magal on differential equations, functional analysis and mathematical biology5
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour5
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic5
Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus5
Cyclic attractors of nonexpanding q-ary networks5
Quasispecies dynamics with time lags and periodic fluctuations in replication5
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach5
A Model for Cell Proliferation in a Developing Organism5
Human mobility and disease prevalence5
Integrodifference models for evolutionary processes in biological invasions5
Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis5
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment5
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications5
Global dynamics of a two-species competition patch model in a Y-shaped river network5
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