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 2021-09-01 to 2025-09-01.)
ArticleCitations
Stability bounds of a delay visco-elastic rheological model with substrate friction54
Occupancy times for time-dependent stage-structured models43
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties41
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation39
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele35
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species35
The influence of synaptic plasticity on critical coupling estimates for neural populations30
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience25
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model25
Nonlinear diffusion in multi-patch logistic model24
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment23
Optimal vaccine allocation for the control of sexually transmitted infections23
Global dynamics of a generalist predator–prey model in open advective environments22
Dimensionality reduction via path integration for computing mRNA distributions22
Modelling non-local cell-cell adhesion: a multiscale approach22
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions22
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach21
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view20
Walk this way: modeling foraging ant dynamics in multiple food source environments20
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections20
Effectiveness of isolation measures with app support to contain COVID-19 epidemics: a parametric approach20
Tumor growth and population modeling in a toxicant-stressed random environment18
An integral renewal equation approach to behavioural epidemic models with information index18
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches17
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance17
Classes of explicit phylogenetic networks and their biological and mathematical significance17
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data17
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing16
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators16
Phase-field model of bilipid membrane electroporation15
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks15
A model and a numerical scheme for the description of distribution and abundance of individuals15
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves15
Accessibility percolation on Cartesian power graphs15
Bifurcation analysis for a single population model with advection14
Network transformation-based analysis of biochemical systems14
Operating diagrams for a three-tiered microbial food web in the chemostat14
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment14
Mathematical model for the estrogen paradox in breast cancer treatment14
Vector-borne disease outbreak control via instant releases13
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes13
A hierarchical intervention scheme based on epidemic severity in a community network13
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator13
Mathematical properties of pump-leak-cotransport models13
Contribution to the study of a pre-exposure prophylaxis HIV model13
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases13
Description of chemical systems by means of response functions13
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems13
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche13
Classification of infinitesimal homeostasis in four-node input–output networks12
The arithmetic topology of genetic alignments12
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient12
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements12
Competitive coexistence of seasonal breeders11
Optimal control of monomers and oligomers degradation in an Alzheimer’s disease model11
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors11
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity11
Life history traits and dispersal shape neutral genetic diversity in metapopulations11
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity11
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy10
Ancestral state reconstruction with large numbers of sequences and edge-length estimation10
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data10
Bifurcations induced by nonlocal spatial memory versus nonlocal perception10
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem10
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach10
Locked fronts in a discrete time discrete space population model10
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows10
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach10
Convective stability of the critical waves of an FKPP-type model for self-organized growth10
Traveling waves of an FKPP-type model for self-organized growth10
Efficiency functionals for the Lévy flight foraging hypothesis10
Optimal bandwidth selection in stochastic regression of Bio-FET measurements10
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods10
General conditions for Turing and wave instabilities in reaction -diffusion systems9
Cannibalistic enemy–pest model: effect of additional food and harvesting9
Effective population size in simple infectious disease models9
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines9
Graph-based, dynamics-preserving reduction of (bio)chemical systems9
Biological invasion with a porous medium type diffusion in a heterogeneous space8
Limits of epidemic prediction using SIR models8
A return-to-home model with commuting people and workers8
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory8
Optimal vaccination policy to prevent endemicity: a stochastic model8
The structure of the genetic code as an optimal graph clustering problem8
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir8
An algebraic model for inversion and deletion in bacterial genome rearrangement8
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale8
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system8
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior8
An age-dependent immuno-epidemiological model with distributed recovery and death rates8
Confinement tonicity on epidemic spreading8
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 insects8
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain8
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly8
The impact of household structure on disease-induced herd immunity8
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics8
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease7
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 infections7
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread7
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply7
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells7
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect7
Persistence in a large network of sparsely interacting neurons7
Contact tracing & super-spreaders in the branching-process model7
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process7
Mathematical indices for the influence of risk factors on the lethality of a disease7
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods7
Propagation dynamics for an age-structured population model in time-space periodic habitat7
Vertex results for the robust analysis of uncertain biochemical systems7
Site-bond percolation model of epidemic spreading with vaccination in complex networks7
Stochastic control of ecological networks7
Long-term behavior of stochastic SIQRS epidemic models7
Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy7
Data driven modeling of pseudopalisade pattern formation6
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs6
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment6
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust6
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics6
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth6
Multistability shifts in an aird vegetation system with nonlocal water absorption effect6
A West Nile virus nonlocal model with free boundaries and seasonal succession6
Staged HIV transmission and treatment in a dynamic model with long-term partnerships6
Vectorial crystallization problems and collective behavior6
Parasite infection in a cell population: role of the partitioning kernel6
Wave speed and critical patch size for integro-difference equations with a strong Allee effect6
Filtering coupled Wright–Fisher diffusions6
Revisiting Shao and Sokal’s B2 index of phylogenetic balance6
Phase field modeling and computation of vesicle growth or shrinkage6
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models6
Stochastic dynamics of an SIS epidemic on networks6
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species6
Perceptive movement of susceptible individuals with memory6
Front propagation in the shadow wave-pinning model6
Exchangeable coalescents beyond the Cannings class6
The hybrid number of a ploidy profile6
Infection-induced increases to population size during cycles in a discrete-time epidemic model6
An aggregation model of cockroaches with fast-or-slow motion dichotomy6
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading6
Stochastic transmission in epidemiological models6
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity6
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species6
STDP-based associative memory formation and retrieval6
Interaction between harvesting intervention and birth perturbation in an age-structured model6
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States6
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling6
In distributive phosphorylation catalytic constants enable non-trivial dynamics6
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality6
Stoichiometric theory in optimal foraging strategy5
Modified quasispecies model: the analysis of a periodic therapy5
Resource allocation in a PDE ecosystem model5
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic5
Integrodifference models for evolutionary processes in biological invasions5
Stochastic branching models for the telomeres dynamics in a model including telomerase activity5
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications5
A binary search scheme for determining all contaminated specimens5
Population dynamics under climate change: persistence criterion and effects of fluctuations5
Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism5
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour5
Demographic feedbacks can hamper the spatial spread of a gene drive5
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment5
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics5
The persistence of bipartite ecological communities with Lotka–Volterra dynamics5
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator5
Foundations of static and dynamic absolute concentration robustness5
Memory effects in disease modelling through kernel estimates with oscillatory time history5
When can a population spreading across sink habitats persist?5
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation5
Structural identifiability analysis of age-structured PDE epidemic models5
Cyclic attractors of nonexpanding q-ary networks5
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation5
A mathematical model for axonal transport of large cargo vesicles5
An epidemic model with short-lived mixing groups5
Incorporating carbon dioxide into a stoichiometric producer–grazer model5
Enumeration of binary trees compatible with a perfect phylogeny5
Multi-objective control to schedule therapies for acute viral infections5
The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study5
Human mobility and disease prevalence5
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach5
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release5
Evaluation of age-structured vaccination strategies for curbing the disease spread5
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