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 2021-05-01 to 2025-05-01.)
ArticleCitations
A systematic search for switch-like behavior in type II toxin–antitoxin systems50
Parameter estimation in fluorescence recovery after photobleaching: quantitative analysis of protein binding reactions and diffusion50
Individual based models exhibiting Lévy-flight type movement induced by intracellular noise38
Stability bounds of a delay visco-elastic rheological model with substrate friction36
Global dynamics of a generalist predator–prey model in open advective environments35
Occupancy times for time-dependent stage-structured models33
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties32
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation32
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species29
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele27
Nonlinear diffusion in multi-patch logistic model26
The influence of synaptic plasticity on critical coupling estimates for neural populations24
Optimal vaccine allocation for the control of sexually transmitted infections22
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions21
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model21
Modelling non-local cell-cell adhesion: a multiscale approach21
Walk this way: modeling foraging ant dynamics in multiple food source environments20
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance20
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data19
Dimensionality reduction via path integration for computing mRNA distributions19
An integral renewal equation approach to behavioural epidemic models with information index19
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view19
Effectiveness of isolation measures with app support to contain COVID-19 epidemics: a parametric approach19
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach19
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections18
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches17
Tumor growth and population modeling in a toxicant-stressed random environment17
Classes of explicit phylogenetic networks and their biological and mathematical significance16
A delay model for persistent viral infections in replicating cells16
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators16
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing15
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment14
Operating diagrams for a three-tiered microbial food web in the chemostat14
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks14
Bifurcation analysis for a single population model with advection14
Phase-field model of bilipid membrane electroporation14
Mathematical model for the estrogen paradox in breast cancer treatment14
A model and a numerical scheme for the description of distribution and abundance of individuals14
Accessibility percolation on Cartesian power graphs13
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves13
Network transformation-based analysis of biochemical systems13
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes13
Description of chemical systems by means of response functions13
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems12
Deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas12
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient12
A diffusive virus model with a fixed intracellular delay and combined drug treatments12
Competitive coexistence of seasonal breeders12
A hierarchical intervention scheme based on epidemic severity in a community network11
Mathematical properties of pump-leak-cotransport models11
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator11
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche11
Vector-borne disease outbreak control via instant releases11
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements11
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases11
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors11
The arithmetic topology of genetic alignments11
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy10
Classification of infinitesimal homeostasis in four-node input–output networks10
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity10
Life history traits and dispersal shape neutral genetic diversity in metapopulations10
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach10
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity10
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention10
Adaptation in a heterogeneous environment I: persistence versus extinction10
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic10
Traveling waves of an FKPP-type model for self-organized growth9
Efficiency functionals for the Lévy flight foraging hypothesis9
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows9
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach9
Effective population size in simple infectious disease models9
Ancestral state reconstruction with large numbers of sequences and edge-length estimation9
A Turing mechanism in order to explain the patchy nature of Crohn’s disease9
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines9
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods9
Convective stability of the critical waves of an FKPP-type model for self-organized growth9
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic9
Locked fronts in a discrete time discrete space population model9
Correction to: Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model9
Kinetic models for epidemic dynamics with social heterogeneity9
General conditions for Turing and wave instabilities in reaction -diffusion systems9
An algebraic model for inversion and deletion in bacterial genome rearrangement8
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain8
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data8
Limits of epidemic prediction using SIR models8
The impact of household structure on disease-induced herd immunity8
A return-to-home model with commuting people and workers8
Cannibalistic enemy–pest model: effect of additional food and harvesting8
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior8
Graph-based, dynamics-preserving reduction of (bio)chemical systems8
Vertex results for the robust analysis of uncertain biochemical systems7
Confinement tonicity on epidemic spreading7
Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects7
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory7
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics7
Biological invasion with a porous medium type diffusion in a heterogeneous space7
The structure of the genetic code as an optimal graph clustering problem7
An age-dependent immuno-epidemiological model with distributed recovery and death rates7
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system7
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale7
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir7
Optimal vaccination policy to prevent endemicity: a stochastic model7
Contact tracing & super-spreaders in the branching-process model7
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly7
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study7
An age-of-infection model with both symptomatic and asymptomatic infections6
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process6
In distributive phosphorylation catalytic constants enable non-trivial dynamics6
Parasite infection in a cell population: role of the partitioning kernel6
Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy6
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells6
Modelling the interplay between the CD4$$^{+}$$/CD8$$^{+}$$ T-cell ratio and the expression of MHC-I in tumours6
Stochastic control of ecological networks6
Mathematical indices for the influence of risk factors on the lethality of a disease6
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States6
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease6
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth6
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect6
Persistence in a large network of sparsely interacting neurons6
Site-bond percolation model of epidemic spreading with vaccination in complex networks6
Long-term behavior of stochastic SIQRS epidemic models6
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply6
Front propagation in the shadow wave-pinning model6
Pace and motor control optimization for a runner6
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread6
Propagation dynamics for an age-structured population model in time-space periodic habitat6
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species5
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling5
Stochastic transmission in epidemiological models5
Physiological insights into electrodiffusive maintenance of gastric mucus through sensitivity analysis and simulations5
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation5
An aggregation model of cockroaches with fast-or-slow motion dichotomy5
Hive geometry shapes the recruitment rate of honeybee colonies5
Memory effects in disease modelling through kernel estimates with oscillatory time history5
STDP-based associative memory formation and retrieval5
Revisiting Shao and Sokal’s B2 index of phylogenetic balance5
Data driven modeling of pseudopalisade pattern formation5
Wave speed and critical patch size for integro-difference equations with a strong Allee effect5
A West Nile virus nonlocal model with free boundaries and seasonal succession5
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality5
Phase field modeling and computation of vesicle growth or shrinkage5
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics5
Structural identifiability analysis of age-structured PDE epidemic models5
A binary search scheme for determining all contaminated specimens5
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs5
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust5
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity5
Exchangeable coalescents beyond the Cannings class5
Filtering coupled Wright–Fisher diffusions5
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species5
Perceptive movement of susceptible individuals with memory5
Staged HIV transmission and treatment in a dynamic model with long-term partnerships5
Infection-induced increases to population size during cycles in a discrete-time epidemic model5
Stochastic dynamics of an SIS epidemic on networks5
The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study5
Population dynamics under climate change: persistence criterion and effects of fluctuations5
Foundations of static and dynamic absolute concentration robustness5
Evaluation of age-structured vaccination strategies for curbing the disease spread5
The hybrid number of a ploidy profile5
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment5
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models5
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading5
Vectorial crystallization problems and collective behavior5
Computation of random time-shift distributions for stochastic population models4
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic4
On a model of evolution of subspecies4
Cyclic attractors of nonexpanding q-ary networks4
An epidemic model with short-lived mixing groups4
Multi-objective control to schedule therapies for acute viral infections4
Human mobility and disease prevalence4
Enumeration of binary trees compatible with a perfect phylogeny4
When can a population spreading across sink habitats persist?4
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment4
A mathematical model for axonal transport of large cargo vesicles4
Population growth and competition models with decay and competition consistent delay4
The effects of spatially-constrained treatment regions upon a model of wombat mange4
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour4
Mathematical analysis of topological and random m-order spread models4
Integrodifference models for evolutionary processes in biological invasions4
Incorporating carbon dioxide into a stoichiometric producer–grazer model4
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach4
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications4
Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response4
Resource allocation in a PDE ecosystem model4
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics4
A Model for Cell Proliferation in a Developing Organism4
The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems4
Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density4
A stochastic hierarchical model for low grade glioma evolution4
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation4
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator4
Modified quasispecies model: the analysis of a periodic therapy4
Spatial ecology, optimal control and game theoretical fishing problems4
The persistence of bipartite ecological communities with Lotka–Volterra dynamics4
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release4
Demographic feedbacks can hamper the spatial spread of a gene drive4
Stoichiometric theory in optimal foraging strategy4
Equilibrium and surviving species in a large Lotka–Volterra system of differential equations3
Spatial spread of infectious diseases with conditional vector preferences3
Heteroclinic cycling and extinction in May–Leonard models with demographic stochasticity3
Effects of whaling and krill fishing on the whale–krill predation dynamics: bifurcations in a harvested predator–prey model with Holling type I functional response3
A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations3
Modeling the voltage distribution in a non-locally but globally electroneutral confined electrolyte medium: applications for nanophysiology3
Stability of a one-dimensional morphoelastic model for post-burn contraction3
Evolution of pathogen tolerance and reproductive trade-off implications3
Another view of sequential sampling in the birth process with immigration3
Discrete coalescent trees3
A Ca2+ puff model based on integrodifferential equations3
A hybrid Lagrangian–Eulerian model for vector-borne diseases3
An investigation of tuberculosis progression revealing the role of macrophages apoptosis via sensitivity and bifurcation analysis3
Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact3
Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus3
A mosquito population suppression model with a saturated Wolbachia release strategy in seasonal succession3
Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model3
Noise dissipation in gene regulatory networks via second order statistics of networks of infinite server queues3
Mixed uncertainty analysis on pumping by peristaltic hearts using Dempster–Shafer theory3
Can insecticide resistance increase malaria transmission? A genetics-epidemiology mathematical modeling approach3
Dispersal-induced growth in a time-periodic environment3
A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer3
Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems3
The coalescent tree of a Markov branching process with generalised logistic growth3
Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein–Uhlenbeck process3
On the geometry of elementary flux modes3
Sensitivity of the electrical response of a node of Ranvier model to alterations of the myelin sheath geometry3
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors3
Mutational meltdown in asexual populations doomed to extinction3
Evaluating the long-term effects of combination antiretroviral therapy of HIV infection: a modeling study3
Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera3
Tumor containment: a more general mathematical analysis3
A branching model for intergenerational telomere length dynamics3
The robustness of phylogenetic diversity indices to extinctions3
Plastic energy allocation toward life-history functions in a consumer-resource interaction3
Geometry of fitness landscapes: peaks, shapes and universal positive epistasis3
The existence and stability of spikes in the one-dimensional Keller–Segel model with logistic growth3
When can we reconstruct the ancestral state? Beyond Brownian motion3
Seed predation-induced Allee effects, seed dispersal and masting jointly drive the diversity of seed sources during population expansion3
Noise-driven bifurcations in a neural field system modelling networks of grid cells3
Learning spiking neuronal networks with artificial neural networks: neural oscillations3
Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique3
TruEst: a better estimator of evolutionary distance under the INFER model3
Strong biological correlations as a cause of autonomous oscillations in epidemics3
Invasive behaviour under competition via a free boundary model: a numerical approach3
A coupled algebraic-delay differential system modeling tick-host interactive behavioural dynamics and multi-stability3
Spatial dynamics of a vegetation model with uptake–diffusion feedback in an arid environment3
On inverse problems for several coupled PDE systems arising in mathematical biology3
Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel3
Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis–Menten reaction mechanism3
On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees3
Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion3
The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling3
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