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 2021-06-01 to 2025-06-01.)
ArticleCitations
Stability bounds of a delay visco-elastic rheological model with substrate friction52
Individual based models exhibiting Lévy-flight type movement induced by intracellular noise52
Occupancy times for time-dependent stage-structured models36
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation36
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties36
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species35
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele30
Optimal vaccine allocation for the control of sexually transmitted infections27
The influence of synaptic plasticity on critical coupling estimates for neural populations27
Parameter estimation in fluorescence recovery after photobleaching: quantitative analysis of protein binding reactions and diffusion25
Global dynamics of a generalist predator–prey model in open advective environments23
Modelling non-local cell-cell adhesion: a multiscale approach22
Nonlinear diffusion in multi-patch logistic model22
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment21
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model21
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience21
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions20
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
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach19
Dimensionality reduction via path integration for computing mRNA distributions19
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 approach18
An integral renewal equation approach to behavioural epidemic models with information index17
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data16
Classes of explicit phylogenetic networks and their biological and mathematical significance16
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches16
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections16
Tumor growth and population modeling in a toxicant-stressed random environment15
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators14
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing14
Bifurcation analysis for a single population model with advection14
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks14
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves14
A model and a numerical scheme for the description of distribution and abundance of individuals14
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment14
Phase-field model of bilipid membrane electroporation14
Mathematical model for the estrogen paradox in breast cancer treatment14
Accessibility percolation on Cartesian power graphs13
Description of chemical systems by means of response functions13
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes13
Network transformation-based analysis of biochemical systems13
Operating diagrams for a three-tiered microbial food web in the chemostat13
A diffusive virus model with a fixed intracellular delay and combined drug treatments12
Deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas12
A hierarchical intervention scheme based on epidemic severity in a community network12
Competitive coexistence of seasonal breeders12
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche12
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems12
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases12
Mathematical properties of pump-leak-cotransport models11
The arithmetic topology of genetic alignments11
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator11
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic11
Vector-borne disease outbreak control via instant releases11
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors11
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements11
A Turing mechanism in order to explain the patchy nature of Crohn’s disease10
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention10
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient10
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity10
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy10
Classification of infinitesimal homeostasis in four-node input–output networks10
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach10
Life history traits and dispersal shape neutral genetic diversity in metapopulations10
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity10
Ancestral state reconstruction with large numbers of sequences and edge-length estimation9
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows9
Convective stability of the critical waves of an FKPP-type model for self-organized growth9
General conditions for Turing and wave instabilities in reaction -diffusion systems9
Effective population size in simple infectious disease models9
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
Graph-based, dynamics-preserving reduction of (bio)chemical systems9
Adaptation in a heterogeneous environment I: persistence versus extinction9
Traveling waves of an FKPP-type model for self-organized growth9
Efficiency functionals for the Lévy flight foraging hypothesis9
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach9
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data9
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods9
An algebraic model for inversion and deletion in bacterial genome rearrangement8
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior8
Biological invasion with a porous medium type diffusion in a heterogeneous space8
Bifurcations induced by nonlocal spatial memory versus nonlocal perception8
Limits of epidemic prediction using SIR models8
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem8
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain8
A return-to-home model with commuting people and workers8
Kinetic models for epidemic dynamics with social heterogeneity8
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines8
The impact of household structure on disease-induced herd immunity8
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir8
Cannibalistic enemy–pest model: effect of additional food and harvesting8
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic8
Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects7
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale7
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly7
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics7
Contact tracing & super-spreaders in the branching-process model7
The structure of the genetic code as an optimal graph clustering problem7
Confinement tonicity on epidemic spreading7
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory7
Optimal vaccination policy to prevent endemicity: a stochastic model7
Vertex results for the robust analysis of uncertain biochemical systems7
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
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
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease6
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
An age-of-infection model with both symptomatic and asymptomatic infections6
Propagation dynamics for an age-structured population model in time-space periodic habitat6
Exchangeable coalescents beyond the Cannings class6
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth6
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods6
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-time behavior and Darwinian optimality for an asymmetric size-structured branching process6
Mathematical indices for the influence of risk factors on the lethality of a disease6
Parasite infection in a cell population: role of the partitioning kernel6
In distributive phosphorylation catalytic constants enable non-trivial dynamics6
Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy6
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread6
Stochastic control of ecological networks6
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study6
Staged HIV transmission and treatment in a dynamic model with long-term partnerships5
A West Nile virus nonlocal model with free boundaries and seasonal succession5
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity5
A binary search scheme for determining all contaminated specimens5
An aggregation model of cockroaches with fast-or-slow motion dichotomy5
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation5
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment5
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species5
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust5
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading5
The hybrid number of a ploidy profile5
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling5
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality5
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States5
Physiological insights into electrodiffusive maintenance of gastric mucus through sensitivity analysis and simulations5
Foundations of static and dynamic absolute concentration robustness5
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs5
Memory effects in disease modelling through kernel estimates with oscillatory time history5
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics5
Data driven modeling of pseudopalisade pattern formation5
Vectorial crystallization problems and collective behavior5
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species5
Infection-induced increases to population size during cycles in a discrete-time epidemic model5
Perceptive movement of susceptible individuals with memory5
Phase field modeling and computation of vesicle growth or shrinkage5
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models5
Hive geometry shapes the recruitment rate of honeybee colonies5
Revisiting Shao and Sokal’s B2 index of phylogenetic balance5
Stochastic transmission in epidemiological models5
Stochastic dynamics of an SIS epidemic on networks5
Filtering coupled Wright–Fisher diffusions5
Wave speed and critical patch size for integro-difference equations with a strong Allee effect5
STDP-based associative memory formation and retrieval5
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour4
Computation of random time-shift distributions for stochastic population models4
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic4
The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems4
Spatial ecology, optimal control and game theoretical fishing problems4
Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response4
Human mobility and disease prevalence4
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics4
Multi-objective control to schedule therapies for acute viral infections4
The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study4
Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density4
A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations4
A mathematical model for axonal transport of large cargo vesicles4
Population growth and competition models with decay and competition consistent delay4
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation4
The effects of spatially-constrained treatment regions upon a model of wombat mange4
Demographic feedbacks can hamper the spatial spread of a gene drive4
Resource allocation in a PDE ecosystem model4
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications4
Mathematical analysis of topological and random m-order spread models4
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release4
An epidemic model with short-lived mixing groups4
Population dynamics under climate change: persistence criterion and effects of fluctuations4
Structural identifiability analysis of age-structured PDE epidemic models4
Incorporating carbon dioxide into a stoichiometric producer–grazer model4
A Model for Cell Proliferation in a Developing Organism4
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach4
On a model of evolution of subspecies4
Cyclic attractors of nonexpanding q-ary networks4
A stochastic hierarchical model for low grade glioma evolution4
Integrodifference models for evolutionary processes in biological invasions4
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment4
Evaluation of age-structured vaccination strategies for curbing the disease spread4
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator4
When can a population spreading across sink habitats persist?4
Modified quasispecies model: the analysis of a periodic therapy4
Stoichiometric theory in optimal foraging strategy4
Enumeration of binary trees compatible with a perfect phylogeny4
The persistence of bipartite ecological communities with Lotka–Volterra dynamics4
Noise-driven bifurcations in a neural field system modelling networks of grid cells3
Evaluating the long-term effects of combination antiretroviral therapy of HIV infection: a modeling study3
Plastic energy allocation toward life-history functions in a consumer-resource interaction3
Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis–Menten reaction mechanism3
Noise dissipation in gene regulatory networks via second order statistics of networks of infinite server queues3
Coexistence or extinction: Dynamics of multiple lizard species with competition, dispersal and intraguild predation3
Fixation probability in evolutionary dynamics on switching temporal networks3
Another view of sequential sampling in the birth process with immigration3
Learning spiking neuronal networks with artificial neural networks: neural oscillations3
A new algebraic approach to genome rearrangement models3
On asymptotic joint distributions of cherries and pitchforks for random phylogenetic trees3
The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling3
Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion3
Equilibrium and surviving species in a large Lotka–Volterra system of differential equations3
On inverse problems for several coupled PDE systems arising in mathematical biology3
When can we reconstruct the ancestral state? Beyond Brownian motion3
A mosquito population suppression model with a saturated Wolbachia release strategy in seasonal succession3
TruEst: a better estimator of evolutionary distance under the INFER model3
Seed predation-induced Allee effects, seed dispersal and masting jointly drive the diversity of seed sources during population expansion3
A hybrid Lagrangian–Eulerian model for vector-borne diseases3
Cumulative damage for multi-type epidemics and an application to infectious diseases3
A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column3
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
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay3
Spatial spread of infectious diseases with conditional vector preferences3
Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique3
A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer3
Dispersal-induced growth in a time-periodic environment3
Mixed uncertainty analysis on pumping by peristaltic hearts using Dempster–Shafer theory3
A coupled algebraic-delay differential system modeling tick-host interactive behavioural dynamics and multi-stability3
Heteroclinic cycling and extinction in May–Leonard models with demographic stochasticity3
A Ca2+ puff model based on integrodifferential equations3
Population games with instantaneous behavior and the Rosenzweig–MacArthur model3
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
The existence and stability of spikes in the one-dimensional Keller–Segel model with logistic growth3
Exploring spaces of semi-directed level-1 networks3
Tumor growth towards lower extracellular matrix conductivity regions under Darcy’s Law and steady morphology3
Strong biological correlations as a cause of autonomous oscillations in epidemics3
Tumor containment: a more general mathematical analysis3
Discrete coalescent trees3
Geometry of fitness landscapes: peaks, shapes and universal positive epistasis3
Can insecticide resistance increase malaria transmission? A genetics-epidemiology mathematical modeling approach3
The robustness of phylogenetic diversity indices to extinctions3
The coalescent tree of a Markov branching process with generalised logistic growth3
Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model3
Assessing the impact of serostatus-dependent immunization on mitigating the spread of dengue virus3
An investigation of tuberculosis progression revealing the role of macrophages apoptosis via sensitivity and bifurcation analysis3
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