Journal of Mathematical Biology

Article	Citations
Individual based models exhibiting Lévy-flight type movement induced by intracellular noise	54
Stability bounds of a delay visco-elastic rheological model with substrate friction	41
Occupancy times for time-dependent stage-structured models	38
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties	37
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation	35
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species	32
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele	30
Modelling non-local cell-cell adhesion: a multiscale approach	25
The influence of synaptic plasticity on critical coupling estimates for neural populations	25
Nonlinear diffusion in multi-patch logistic model	23
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience	23
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model	23
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment	22
Global dynamics of a generalist predator–prey model in open advective environments	21
Optimal vaccine allocation for the control of sexually transmitted infections	21
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach	20
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions	20
Walk this way: modeling foraging ant dynamics in multiple food source environments	20
Dimensionality reduction via path integration for computing mRNA distributions	20
Effectiveness of isolation measures with app support to contain COVID-19 epidemics: a parametric approach	20
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view	18
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections	17
Classes of explicit phylogenetic networks and their biological and mathematical significance	17
An integral renewal equation approach to behavioural epidemic models with information index	17
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance	17

Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches	17
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data	16
Tumor growth and population modeling in a toxicant-stressed random environment	16
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing	15
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators	15
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks	15
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment	14
Phase-field model of bilipid membrane electroporation	14
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves	14
Bifurcation analysis for a single population model with advection	14
A model and a numerical scheme for the description of distribution and abundance of individuals	13
Accessibility percolation on Cartesian power graphs	13
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes	13
Network transformation-based analysis of biochemical systems	13
Mathematical model for the estrogen paradox in breast cancer treatment	13
Competitive coexistence of seasonal breeders	13
Contribution to the study of a pre-exposure prophylaxis HIV model	13
Deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas	13
Operating diagrams for a three-tiered microbial food web in the chemostat	13
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator	12
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche	12
Mathematical properties of pump-leak-cotransport models	12
A hierarchical intervention scheme based on epidemic severity in a community network	12
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases	12
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems	12
The arithmetic topology of genetic alignments	11
Life history traits and dispersal shape neutral genetic diversity in metapopulations	11
Vector-borne disease outbreak control via instant releases	11
Classification of infinitesimal homeostasis in four-node input–output networks	11
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors	11
Description of chemical systems by means of response functions	11
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements	11
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient	11
Ancestral state reconstruction with large numbers of sequences and edge-length estimation	10
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows	10
Locked fronts in a discrete time discrete space population model	10
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity	10
Traveling waves of an FKPP-type model for self-organized growth	10
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data	10
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy	10
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach	10
Efficiency functionals for the Lévy flight foraging hypothesis	10
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem	10
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity	10
Optimal bandwidth selection in stochastic regression of Bio-FET measurements	9
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods	9
Cannibalistic enemy–pest model: effect of additional food and harvesting	9
General conditions for Turing and wave instabilities in reaction -diffusion systems	9
Bifurcations induced by nonlocal spatial memory versus nonlocal perception	9
Effective population size in simple infectious disease models	9

Convective stability of the critical waves of an FKPP-type model for self-organized growth	9
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach	9
Graph-based, dynamics-preserving reduction of (bio)chemical systems	9
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain	8
Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects	8
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory	8
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines	8
Confinement tonicity on epidemic spreading	8
A return-to-home model with commuting people and workers	8
Biological invasion with a porous medium type diffusion in a heterogeneous space	8
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale	8
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system	8
Limits of epidemic prediction using SIR models	8
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic	8
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir	8
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics	8
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly	8
An algebraic model for inversion and deletion in bacterial genome rearrangement	8
The structure of the genetic code as an optimal graph clustering problem	7
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process	7
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect	7
Mathematical indices for the influence of risk factors on the lethality of a disease	7
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods	7
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior	7
Contact tracing & super-spreaders in the branching-process model	7
An age-dependent immuno-epidemiological model with distributed recovery and death rates	7
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread	7
Long-term behavior of stochastic SIQRS epidemic models	7
Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy	7
Stochastic control of ecological networks	7
Optimal vaccination policy to prevent endemicity: a stochastic model	7
The impact of household structure on disease-induced herd immunity	7
Vertex results for the robust analysis of uncertain biochemical systems	7
Site-bond percolation model of epidemic spreading with vaccination in complex networks	7
Persistence in a large network of sparsely interacting neurons	7
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply	7
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells	7
Propagation dynamics for an age-structured population model in time-space periodic habitat	7
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study	7
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States	6
Exchangeable coalescents beyond the Cannings class	6
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease	6
In distributive phosphorylation catalytic constants enable non-trivial dynamics	6
Interaction between harvesting intervention and birth perturbation in an age-structured model	6
Stochastic dynamics of an SIS epidemic on networks	6
Data driven modeling of pseudopalisade pattern formation	6
The hybrid number of a ploidy profile	6
Filtering coupled Wright–Fisher diffusions	6
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth	6
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality	6
Front propagation in the shadow wave-pinning model	6
An age-of-infection model with both symptomatic and asymptomatic infections	6
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species	6
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species	6
Physiological insights into electrodiffusive maintenance of gastric mucus through sensitivity analysis and simulations	6
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics	6
A West Nile virus nonlocal model with free boundaries and seasonal succession	6
Perceptive movement of susceptible individuals with memory	6
Vectorial crystallization problems and collective behavior	6
Parasite infection in a cell population: role of the partitioning kernel	6
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling	6
Staged HIV transmission and treatment in a dynamic model with long-term partnerships	6
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity	6
STDP-based associative memory formation and retrieval	6
Wave speed and critical patch size for integro-difference equations with a strong Allee effect	6
Infection-induced increases to population size during cycles in a discrete-time epidemic model	6
An aggregation model of cockroaches with fast-or-slow motion dichotomy	5
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust	5
Multistability shifts in an aird vegetation system with nonlocal water absorption effect	5
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs	5
Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism	5
A binary search scheme for determining all contaminated specimens	5
Incorporating carbon dioxide into a stoichiometric producer–grazer model	5
The persistence of bipartite ecological communities with Lotka–Volterra dynamics	5
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics	5
Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach	5
Evaluation of age-structured vaccination strategies for curbing the disease spread	5
Population dynamics under climate change: persistence criterion and effects of fluctuations	5
Foundations of static and dynamic absolute concentration robustness	5
Asymptotic behavior of the basic reproduction number for periodic nonlocal dispersal operators and applications	5

Stochastic transmission in epidemiological models	5
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading	5
Memory effects in disease modelling through kernel estimates with oscillatory time history	5
Stochastic branching models for the telomeres dynamics in a model including telomerase activity	5
The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study	5
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic	5
Enumeration of binary trees compatible with a perfect phylogeny	5
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation	5
Spatial ecology, optimal control and game theoretical fishing problems	5
When can a population spreading across sink habitats persist?	5
Multi-objective control to schedule therapies for acute viral infections	5
Structural identifiability analysis of age-structured PDE epidemic models	5
Revisiting Shao and Sokal’s B2 index of phylogenetic balance	5
Phase field modeling and computation of vesicle growth or shrinkage	5
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment	5
Human mobility and disease prevalence	5
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation	5
Feedback-delay dependence of the stability of cluster periodic orbits in populations of degrade-and-fire oscillators with common activator	5
Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response	5
Integrodifference models for evolutionary processes in biological invasions	5
Cyclic attractors of nonexpanding q-ary networks	5
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release	5
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour	5
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models	5