Mathematical Biosciences

Papers
(The TQCC of Mathematical Biosciences 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 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
Calcium signalling in glioblastoma networks of different topologies and possible treatments23
Modeling cholera transmission dynamics with antibiotic resistance and mutation: A case study in Zimbabwe23
Imperfect vaccine can yield multiple Nash equilibria in vaccination games22
Investigating the impact of adipose derived media on ovarian cancer: Insights from a 3D in-silico model20
Pathogen spillover in a seasonal cholera model20
Stability analysis of a novel HIV model with CTL immune response, latency age, infection age and a saturated infection rate20
Effect of cross-immunity in a two-strain cholera model with aquatic component19
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
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
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
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
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model15
Sequential allocation of vaccine to control an infectious disease15
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks15
Modeling and analysis of the transmission dynamics in metapopulation networks incorporating individual contact heterogeneity14
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
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
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
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
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
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
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
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
Mechanistic models are hypotheses: A perspective10
Stability of periodic solution for a free boundary problem modeling small plaques10
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
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
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
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
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
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
An SEIR network epidemic model with manual and digital contact tracing allowing delays7
Editorial Board7
The dynamics of casual groups can keep free-riders at bay7
Combining model-based and data-driven models: An application to synthetic biology resource competition7
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
Distributions of prevalence and daily new cases in a stochastic linear SEIR model7
Mathematical modeling of neuroblast migration toward the olfactory bulb7
A mathematical study of anti-VEGF and cytotoxic therapies of cancer with optimal control7
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines7
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
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
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
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
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
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