Mathematical Biosciences

Papers
(The median citation count of Mathematical Biosciences is 1. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease42
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments34
Editorial Board26
Effect of homophily on coupled behavior-disease dynamics near a tipping point24
Investigating the eco-evolutionary tunnels for establishing cooperative communities20
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches20
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data19
Editorial Board19
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections18
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model17
Imperfect vaccine can yield multiple Nash equilibria in vaccination games17
Turing patterns in a morphogenetic model with single regulatory function17
Modeling covalently closed circular DNA dynamics in assessing chronic hepatitis B prognosis16
Modeling cholera transmission dynamics with antibiotic resistance and mutation: A case study in Zimbabwe16
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs15
Effect of cross-immunity in a two-strain cholera model with aquatic component14
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer14
Overcoming the impossibility of age-balanced harvest14
Editorial Board14
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model13
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells13
Sequential allocation of vaccine to control an infectious disease13
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks12
A simple model of coupled individual behavior and its impact on epidemic dynamics12
Characterizing symmetry transitions in systems with dynamic morphology12
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation12
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals12
Editorial Board12
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination11
Nucleation feedback can drive establishment and maintenance of biased microtubule polarity in neurites11
Mechanistic embedding of concise physiological absorption models for enhanced prediction in population pharmacokinetic modeling of oral ibuprofen11
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion11
Learning transmission dynamics modelling of COVID-19 using comomodels11
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?11
We are all different: Modeling key individual differences in physiological systems11
A stochastic programming approach to the antibiotics time machine problem11
Data-driven modeling and prediction of microglial cell dynamics in the ischemic penumbra10
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach10
Mechanistic models are hypotheses: A perspective10
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex10
A framework for the modelling and the analysis of epidemiological spread in commuting populations10
Optimal control of species augmentation in a competition model9
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation9
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach9
Finding analytical approximations for discrete, stochastic, individual-based models of ecology9
Classification of 2-node excitatory–inhibitory networks9
Life-History traits and the replicator equation9
Nonlinear control designs and their application to cancer differentiation therapy9
A mathematical model for cancer dynamics with treatment and saboteur bacteria9
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China9
Extinction in host–vector infection models and the role of heterogeneity9
Stability of periodic solution for a free boundary problem modeling small plaques9
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context9
Editorial Board8
Applying a multi-strain dengue model to epidemics data8
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines8
An SEIR network epidemic model with manual and digital contact tracing allowing delays8
New results on traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient8
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period8
Rate-limiting recovery processes in neurotransmission under sustained stimulation8
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method8
Editorial Board8
A mathematical study of anti-VEGF and cytotoxic therapies of cancer with optimal control7
Mathematical modeling of neuroblast migration toward the olfactory bulb7
Hypergraphs and centrality measures identifying key features in gene expression data7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions7
Distributions of prevalence and daily new cases in a stochastic linear SEIR model7
Calibrating a parameterized stochastic Boolean network model of gene regulation using a single steady-state gene expression profile7
Social vs. individual age-dependent costs of imperfect vaccination7
Deconstructing the integrated oscillator model for pancreatic β-ce7
Dynamics of bovine tuberculosis transmission in mixed herds in Chad7
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation7
Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks7
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-197
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays7
A non local model for cell migration in response to mechanical stimuli7
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment6
Stochastic model of siRNA endosomal escape mediated by fusogenic peptides6
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow6
Effects of nonlinear impulsive controls and seasonality on hantavirus infection6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
The dynamics of casual groups can keep free-riders at bay6
Epidemic spread on patch networks with community structure6
Editorial Board6
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer6
Persistence index for harvested populations6
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence6
Modeling mixotroph-bacterium dynamics: Spatial homogeneity vs heterogeneity6
A machine learning model for nowcasting epidemic incidence6
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-196
Book Review6
Dynamics of a pine wilt disease control model with nonlocal competition and memory diffusion6
Modeling the synergistic interplay between malaria dynamics and economic growth5
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
Probabilistic models of uORF-mediated ATF4 translation control5
The cumulative lethal rate of repeated spraying of pesticides and its applications5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
Analyzing the impact of threshold strategies on cancer treatment using non-smooth models5
The impact of risk compensation adaptive behavior on the final epidemic size5
A simple model for how the risk of pandemics from different virus families depends on viral and human traits5
Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks5
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
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
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation4
Target reproduction numbers for time-delayed population systems4
Challenges in cybersecurity: Lessons from biological defense systems4
Bifurcation thresholds in a bi-trophic turbidostat system: Refuge-mediated critical transitions and delay-induced oscillatory regimes4
Modeling correlated uncertainties in stochastic compartmental models4
A simple model for the analysis of epidemics based on hospitalization data4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
Model formulation and oscillatory patterns in immune-pathogen dynamics during Brucellosis infection4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
Open problems in mathematical biology4
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect4
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application4
Modeling spike frequency adaptation through higher-order fractional leaky integrate and fire model4
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy4
Infection propagation in a tissue with resident macrophages4
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Dynamics of phase tumbling and the reentrainment of circadian oscillators4
Editorial Board4
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model4
Rich dynamics in a delayed water borne pathogen model with overexposure4
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 and dynamics of Brucella infection-induced macrophage apoptosis inhibition4
Partial mean-field model for neurotransmission dynamics4
Estimation of time-varying recovery and death rates from epidemiological data: A new approach4
Emergence of multiple foraging strategies under competition3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Editorial Board3
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic3
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
Mechanical causes and implications of repetitive DNA motifs3
Editorial Board3
Employing nullclines to balance treatment efficacy and neurotoxicity for sustained tumor control3
Variant-specific interventions to slow down replacement and prevent outbreaks3
Assessing the influence of HIV on the spread of Mpox disease3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Different routes of infection of H5N1 lead to changes in infecting time3
Mathematical modelling of carbohydrate and protein metabolism in muscle3
Spatial pattern regulation strategy of bimolecular model with anomalous diffusion and nonlocal effects3
How to correctly fit an SIR model to data from an SEIR model?3
Stratified epidemic model using a latent marked Hawkes process3
Mathematical model of replication–mutation dynamics in coronaviruses3
Editorial Board3
Modelling the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms3
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Coupling dynamics of 2D Notch-Delta signalling3
Editorial Board3
Editorial Board3
Mathematical modeling of brain metastases growth and response to therapies: A review3
Editorial Board3
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Editorial Board2
WENDY: Covariance dynamics based gene regulatory network inference2
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
Editorial Board2
Modeling county level COVID-19 transmission in the greater St. Louis area: Challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes2
A constrained optimisation framework for parameter identification of the SIRD model2
Assessing the impact of the Wolbachia-based control of malaria2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
Dynamical differences in rod and cone photoresponses2
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence2
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Editorial Board2
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2
Generalized measures of population synchrony2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
Role of non-exponential reversal times in aggregation models of bacterial populations2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
On the necessity of accounting for age structure in human malaria transmission modeling2
A local polynomial moment approximation for compartmentalized biochemical systems2
Great fish war with moratorium2
A fully dynamical theory for the rate of arterial gas embolism growth and dissolution2
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil2
A mathematical model of protein subunits COVID-19 vaccines2
Mathematical model for IL-2-based cancer immunotherapy2
Allee effects introduced by density dependent phenology2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
Deciphering Akt activation: Insights from a mean-field model2
Editorial Board2
Optimal control of eggplant pest populations in a Predator–Prey–Parasitoid model with seasonal growth effects2
A soluble model for synchronized rhythmic activity in ant colonies2
Stability and bifurcation analysis of a predator–prey system with feedback-controlled odour and wind-driven decay2
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
A systematic review of mathematical models of Lassa fever2
Natural population dynamics of Asian citrus psyllid, Diaphorina citri, and its control based on pheromone trapping2
Optimal control of the SIR model with constrained policy, with an application to COVID-192
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)2
On the anti-quasi-steady-state conditions of enzyme kinetics2
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation2
Investigating seasonal disease emergence and extinction in stochastic epidemic models1
Modeling the role of temperature-dependent microbiome composition in black band disease transmission among coral reefs1
Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration1
A multi-scale simulation of retinal physiology1
Lattice structures that parameterize regulatory network dynamics1
Autocatalytic recombination systems: A reaction network perspective1
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments1
Demand-induced regime shift in fishery: A mathematical perspective1
Mathematical modeling and analysis of cancer treatment with radiation and anti-PD-L11
The importance of incorporating ventricular–ventricular interaction (VVI) in the study of pulmonary hypertension1
Modeling virus-stimulated proliferation of CD4+<1
Editorial Board1
Modelling the stochastic importation dynamics and establishment of novel pathogenic strains using a general branching processes framework1
Conditions for Kir-induced bistability of membrane potential in capillary endothelial cells1
Assessment of bidirectional impact of stigmatization induced self-medication on COVID-19 and malaria transmissions using mathematical modeling: Nigeria as a case study1
A pipeline for testing drug mechanism of action and combination therapies: From microarray data to simulations via Linear-In-Flux-Expressions1
Bifurcation analysis of tumor-immune dynamics under the dual Allee effects1
Pairing food and drink: A physiological model of blood ethanol levels for a variety of drinking behaviors1
Editorial Board1
Editorial Board1
Equilibrium analysis of discrete stochastic population models with gamma distribution1
Travelling waves due to negative plant–soil feedbacks in a model including tree life-stages1
A simple model for viral decay dynamics and the distribution of infected cell life spans in SHIV-infected infant rhesus macaques1
Editorial Board1
IP3R activity increases propensity of RyR-mediated sparks by elevating dyadic [Ca2+]1
Nonhomogeneous mixing reduces disease prevalence1
The lost art of mathematical modelling1
An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies1
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