Mathematical Biosciences

Papers
(The median citation count of Mathematical Biosciences 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease83
Investigating the eco-evolutionary tunnels for establishing cooperative communities30
Editorial Board28
Editorial Board26
Modeling covalently closed circular DNA dynamics in assessing chronic hepatitis B prognosis24
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs24
Modeling cholera transmission dynamics with antibiotic resistance and mutation: A case study in Zimbabwe23
Calcium signalling in glioblastoma networks of different topologies and possible treatments23
Imperfect vaccine can yield multiple Nash equilibria in vaccination games22
Stability analysis of a novel HIV model with CTL immune response, latency age, infection age and a saturated infection rate20
Investigating the impact of adipose derived media on ovarian cancer: Insights from a 3D in-silico model20
Pathogen spillover in a seasonal cholera model20
Effect of cross-immunity in a two-strain cholera model with aquatic component19
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model18
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data18
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments18
Turing patterns in a morphogenetic model with single regulatory function18
Effect of homophily on coupled behavior-disease dynamics near a tipping point17
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer17
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections17
Editorial Board17
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches17
Sequential allocation of vaccine to control an infectious disease15
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks15
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model15
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells14
Overcoming the impossibility of age-balanced harvest14
Dynamics in an almost periodic metapopulation with competition and habitat destruction: An exponential dichotomy based approach14
Modeling and analysis of the transmission dynamics in metapopulation networks incorporating individual contact heterogeneity14
A stochastic programming approach to the antibiotics time machine problem13
Characterizing symmetry transitions in systems with dynamic morphology13
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals13
A stochastic reaction-diffusion HIV/AIDS model with implications for long-Acting ART13
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination13
Editorial Board13
Spatial dynamics of a pest population with stage-structure and control in a temporally periodic environment13
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation13
Editorial Board12
We are all different: Modeling key individual differences in physiological systems12
Nucleation feedback can drive establishment and maintenance of biased microtubule polarity in neurites12
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion12
Mechanistic embedding of concise physiological absorption models for enhanced prediction in population pharmacokinetic modeling of oral ibuprofen12
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?12
A simple model of coupled individual behavior and its impact on epidemic dynamics11
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach11
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China11
Predator-prey dynamics with personality-dependent foraging and maturation delay: stability switches, Hopf and Bogdanov-Takens bifurcations11
Integrating machine learning into the in silico clinical trial pipeline11
A framework for the modelling and the analysis of epidemiological spread in commuting populations11
Mechanistic models are hypotheses: A perspective10
Stability of periodic solution for a free boundary problem modeling small plaques10
Optimal control of species augmentation in a competition model10
Data-driven modeling and prediction of microglial cell dynamics in the ischemic penumbra10
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex10
Extinction in host–vector infection models and the role of heterogeneity9
Evolutionary tendency of vegetation systems at critical points — based on optimal control methods9
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation9
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period9
Three-population connectivity scheme for inhibitory control from the locus coeruleus governing the development of power law wake bouts through early infancy9
New results on traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient9
Applying a multi-strain dengue model to epidemics data9
Finding analytical approximations for discrete, stochastic, individual-based models of ecology9
Nonlinear control designs and their application to cancer differentiation therapy9
Classification of 2-node excitatory–inhibitory networks9
A mathematical model for cancer dynamics with treatment and saboteur bacteria8
Editorial Board8
Stoichiometric constraints and cooperative hunting reshape tri-trophic food-chain dynamics and trophic transfer efficiency8
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays8
Hypergraphs and centrality measures identifying key features in gene expression data8
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach8
A Wheel of Fortune: The eukaryotic cell cycle as a tetra-stable excitable system8
Social vs. individual age-dependent costs of imperfect vaccination8
Distributions of prevalence and daily new cases in a stochastic linear SEIR model7
Mathematical modeling of neuroblast migration toward the olfactory bulb7
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines7
A mathematical study of anti-VEGF and cytotoxic therapies of cancer with optimal control7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer7
Why does nature force the creation of proteobacteria community in the estuarine ecosystem? - A theoretical model7
Calibrating a parameterized stochastic Boolean network model of gene regulation using a single steady-state gene expression profile7
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-197
Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks7
Deconstructing the integrated oscillator model for pancreatic β-ce7
Book Review7
Dynamics of bovine tuberculosis transmission in mixed herds in Chad7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Editorial Board7
An SEIR network epidemic model with manual and digital contact tracing allowing delays7
Combining model-based and data-driven models: An application to synthetic biology resource competition7
The dynamics of casual groups can keep free-riders at bay7
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence7
Bifurcation analysis and fear-induced reactions in non-refuged prey with cooperative hunting among predators: Deterministic and stochastic dynamics7
Dynamics of a pine wilt disease control model with nonlocal competition and memory diffusion6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
A non local model for cell migration in response to mechanical stimuli6
Modeling mixotroph-bacterium dynamics: Spatial homogeneity vs heterogeneity6
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-196
Analyzing the impact of threshold strategies on cancer treatment using non-smooth models6
Persistence index for harvested populations6
A general class of bounded diffusion processes with applications in the biosciences6
Multiseasonal modeling of pesticide resistance in maize stalk borer6
Tumor growth and immune response: On the impact of the space-structuration of the tumor microenvironment6
Modeling the synergistic interplay between malaria dynamics and economic growth6
Stochastic model of siRNA endosomal escape mediated by fusogenic peptides6
When simple is enough: Binary models capture social complexity in coupled human-environment systems6
Investigation the epidemiological transition of ebola virus under contagious population with sustainable extended fractional operator6
Editorial Board6
Effects of nonlinear impulsive controls and seasonality on hantavirus infection6
Epidemic spread on patch networks with community structure6
Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks5
Plant tolerance is explained by resource-based plant–nematode interactions5
The impact of risk compensation adaptive behavior on the final epidemic size5
A potential surrogate model for efficient inference of stochastic GLUT4 translocation5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment5
Editorial Board5
Open problems in mathematical biology5
Rich dynamics in a delayed water borne pathogen model with overexposure5
A sharp dichotomy for Wolbachia invasion: Critical release thresholds and global stability5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Editorial Board5
Editorial Board5
A stochastic framework for evaluating CAR T cell therapy efficacy and variability5
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application5
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect5
Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host5
The cumulative lethal rate of repeated spraying of pesticides and its applications5
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Persistence for a class of nonautonomous systems of differential equations with unbounded delays5
Dynamics of phase tumbling and the reentrainment of circadian oscillators5
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation5
The impact of migration-mediated multi-threshold control strategies on disease spread of a Filippov patch epidemic model5
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model5
A phenotype-structured mathematical model for the influence of hypoxia on oncolytic virotherapy4
Target reproduction numbers for time-delayed population systems4
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets4
A simple model for the analysis of epidemics based on hospitalization data4
Model formulation and oscillatory patterns in immune-pathogen dynamics during Brucellosis infection4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy4
Modeling and dynamics of Brucella infection-induced macrophage apoptosis inhibition4
Estimation of time-varying recovery and death rates from epidemiological data: A new approach4
Infection propagation in a tissue with resident macrophages4
A model for a population of trees structured by phenological traits4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
Dynamics of a tick-borne disease transmission model with acquired tick resistance4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Challenges in cybersecurity: Lessons from biological defense systems4
Partial mean-field model for neurotransmission dynamics4
Hopf bifurcation in a coupled age-structured and ODE system with n-predators and m-prey4
Spatial pattern regulation in pine wilt disease models with feedback mechanisms4
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic4
Bifurcation thresholds in a bi-trophic turbidostat system: Refuge-mediated critical transitions and delay-induced oscillatory regimes4
Editorial Board4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
On the design and stability of cancer adaptive therapy cycles: Deterministic and stochastic models4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
Modeling spike frequency adaptation through higher-order fractional leaky integrate and fire model4
Mathematical modeling of brain metastases growth and response to therapies: A review4
A partition method for bounding continuous-time Markov chain models of general reaction network4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
Editorial Board3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Mathematical model of replication–mutation dynamics in coronaviruses3
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Editorial Board3
Quantifying immune memory in colorectal cancer using fractional-order differential equations3
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants3
A multiobjective optimization approach to data assimilation for complex biological systems with sparse data3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency3
Modelling the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms3
Stability and bifurcation of Mpox transmission model with population heterogeneity and booster vaccination3
Invasions in a four-species fractured cyclic ecological system3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Different routes of infection of H5N1 lead to changes in infecting time3
Modeling correlated uncertainties in stochastic compartmental models3
Editorial Board3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Assessing the influence of HIV on the spread of Mpox disease3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Stratified epidemic model using a latent marked Hawkes process3
A systematic review of mathematical models of Lassa fever3
Mechanical causes and implications of repetitive DNA motifs3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
Quantifying the risk of long-term chikungunya persistence in Miami-Dade county3
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence3
Dynamical differences in rod and cone photoresponses3
Employing nullclines to balance treatment efficacy and neurotoxicity for sustained tumor control3
Editorial Board3
Spatial pattern regulation strategy of bimolecular model with anomalous diffusion and nonlocal effects3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Editorial Board3
Editorial Board3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-23
Editorial Board3
How to correctly fit an SIR model to data from an SEIR model?3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
A mathematical model of protein subunits COVID-19 vaccines3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
Bifurcation analysis of an SIS epidemic reaction-diffusion model with maturation delay and nonlinear birth3
How generalist predation shapes a predator-prey model: A bifurcation analysis3
A local polynomial moment approximation for compartmentalized biochemical systems3
Dynamical analysis of a spatially heterogeneous disease model with degenerate structure3
Great fish war with moratorium3
An epidemiological model with arbitrary distributions for infection and relapse stages3
Mathematical modelling of carbohydrate and protein metabolism in muscle3
Coupling dynamics of 2D Notch-Delta signalling3
Editorial Board3
Editorial Board3
Natural population dynamics of Asian citrus psyllid, Diaphorina citri, and its control based on pheromone trapping3
Emergence of multiple foraging strategies under competition3
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
How human behavior drives the balance of symptomatic and asymptomatic cases in emerging infections2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
A compartmental model for epidemiology with human behavior and stochastic effects2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Bloom dynamics under the effects of periodic driving forces2
Generalized measures of population synchrony2
Computing the extinction path for epidemic models2
Modeling periodic transcriptions in tandem gene systems2
WENDY: Covariance dynamics based gene regulatory network inference2
Recurrent patterns of disease spread post the acute phase of a pandemic: Insights from a coupled system of a differential equation for disease transmission and a delayed algebraic equation for behavio2
Stability and bifurcation analysis of a predator–prey system with feedback-controlled odour and wind-driven decay2
Mathematical model for IL-2-based cancer immunotherapy2
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies2
Extinction and persistence of Peregrinus maidis: Stochastic modeling under thermal, density-dependent, and maize off-season constraints2
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
A constrained optimisation framework for parameter identification of the SIRD model2
Editorial Board2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Editorial Board2
Using interconnected viscoelastic elements to investigate forces and the role of cell properties during cell migration2
Editorial Board2
A two-phase model of early atherosclerotic plaque development with LDL toxicity effects2
Editorial Board2
On the necessity of accounting for age structure in human malaria transmission modeling2
On the anti-quasi-steady-state conditions of enzyme kinetics2
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