International Journal of Biomathematics

Article	Citations
Stationary distribution and probability density function of a stochastic waterborne pathogen model with logistic growth	93
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	60
A Bayesian test for seasonality in medical data	47
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	31
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	30
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	28
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	28
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	27
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	25
A nonlinear optimal control method against the spreading of epidemics	25
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	23
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	22
Assessing the impact of agrochemicals on schistosomiasis transmission: A mathematical study	18
A stochastic SIS epidemic infectious diseases model with double stochastic perturbations	17
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	15
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	14
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	14
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	13
Analysis, simulation and applications of a delayed target limited cell model under the cumulative effects of vaccine and treatment	12
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	12
Dynamical analysis of a modified Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge and treatment	12
Different kinds of generalized rough sets based on neighborhoods with a medical application	12
Invasive-invaded system of non-Lipschitz porous medium equations with advection	12
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	11
Discrete state-structured epidemic models with distributed delays	11

Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	11
Influence of nanoparticles on the spatiotemporal dynamics of phytoplankton–zooplankton interaction system	11
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	10
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	10
Optimizing third party funding to alleviate global drug resistance: A game-theoretic modeling approach	10
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	10
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	10
Age-structure model for oncolytic virotherapy	10
Global dynamics in an age-structured HIV model with humoral immunity	9
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	9
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	8
Speed selection of traveling waves to an epidemic model	8
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	8
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	8
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	8
Stability and metastability in a chemotaxis model	8
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	8
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	8
Global dynamics in a model for anthrax transmission in animal populations	7
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	7
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	7
Final size of an n-group SEIR epidemic model with nonlinear incidence rate	7
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	7
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	7
Dynamics of a reaction–diffusion three-species food chain model: Effect of space-time white noise	7
Optimal placement of marine protected areas for a predator–prey fish model	7
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	7
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	7
Stability and bifurcation analysis of a nonlinear dynamical model studying the decline of vulture population	7
Global stability analysis of an epidemic model with feedback control and general incidence rate	7
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	6
Stability and bifurcation of a delayed Aron–May model for malaria transmission	6
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with Ornstein–Uhlenbeck process	6
Exponential stability and optimal control of a stochastic brucellosis model with spatial diffusion and nonlocal transmission	6
Regularity and stability of neural impulse propagation in Alzheimer’s using an adapted Fitzhugh–Nagumo model	5
The effect of sudden fluctuations on a treated Hepatitis C model	5
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	5
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	5
The research on purification of brucellosis in dairy farm based on stochastic model	5
Bayesian Joint Relatively Quantile Regression Modeling of Multivariate Ordinal Longitudinal Data with Latent Mixed Effects Models for an Application to Diagnosis and Treatment of Lung Cancer	5
Modeling the Impact of Quarantine on COVID-19 Transmission: A Comprehensive Approach	5
Influence of dispersal on the dynamics of an eco-epidemiological two-patch predator–prey model in deterministic and stochastic environment with ratio-dependent functional responses	5
Stochastic dynamical analysis and optimal control of the SIR epidemic model with transmission rate affected by Levy noise	5
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	5
Modeling and Evaluation of a Stochastic Multiscale Glioma Model: Integrating Pharmacotherapy and Psychological Interventions	5
Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	5
Analysis of the free boundary problem of vascular tumor growth with periodic nutrient supply and time delay terms	5
Bifurcation analysis and pattern formation of an epidemic model with diffusion	5
Stability of periodic solution for a novel delayed nonautonomous reaction-diffusion food chain systems with ratio-dependent	5
Global stability of an age-structured model of smoking and its treatment	5

Mathematical modeling of malaria with vaccination, treatment and vector control	5
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	5
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	5
Inhomogeneous Hopf bifurcation and stability in a two-competing-prey and one-predator model with cross-diffusion	5
Integrative subtyping of nonsmall cell lung cancer using histopathology and multi-omics data	5
Mathematical analysis and dynamical transmission of SEIrIsR model with different infection stages by using fractional operator	5
A stage-structured prey–predator interaction model with the impact of fear and hunting cooperation	4
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Well posedness analysis of a parabolic-hyperbolic free boundary problem for necrotic tumors growth	4
The role of host refuge and strong Allee effects in a host–parasitoid system	4
Optimal control application to the epidemiology of HBV and HCV co-infection	4
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	4
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Dynamical aspects of corona virus infection	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
A Global Solution to a Hyperbolic Problem for Blood Flow Modelling	4
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	4
Delayed fuzzy genetic regulatory networks: Novel results	4
Mathematical analysis of a model of Ebola disease with control measures	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	4
Quantum entangled connectivity and functional connectivity of human brain	4
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	4
Dynamics of a nonlocal diffusion model of hepatitis c virus infection with logistic hepatocyte growth and spatial heterogeneity	4
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	4
The global stability and optimal control of the COVID-19 epidemic model	4
Codimension-1,2 bifurcation analysis of glucose model with obesity effect	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number	3
Optimal control model for IVF treatment in women	3
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation	3
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	3
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	3
Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells	3
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	3
Order shrinkage and selection for the INGARCH(p,q) model	3
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	3
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	3
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	3
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	3
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	3
Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response	3
The dynamics of traveling wavefronts for a model describing host tissue degradation by bacteria	3
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	3
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	3
Dynamic analysis based on the relapse rate of drug epidemic model	3
Investigation of infertility treatments on infertile couples through fractional-order modeling approach	3
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	3
Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity	3
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	3
Bifurcation and optimal control analysis of delayed models for huanglongbing	3
Demand assessment of the number of inpatient beds in China based on the COVID-19 dynamical model	3
Hopf bifurcation in a delayed prey–predator model with prey refuge involving fear effect	3
Fear and delay effects on a food chain system with two kinds of different functional responses	3
Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system	2
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	2
Dynamics and parameter identification of SIRDS models with aging population factor	2
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	2
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	2
Impacts of transpiration of agricultural crops and seeding on rainfall: Implications from a mathematical model	2
Complex dynamics and optimal harvesting for a stochastic food-web model with intraguild predation and time delays	2
Dynamics of a discrete Rosenzweig–MacArthur predator–prey model with piecewise-constant arguments	2
The sign of bistable wave speed for a plankton model	2
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	2
On the dynamics of a Zika disease model with vector-bias	2
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	2
Global insights into seed dispersal mutualism with cooperative efforts and environmental variability	2
Study of a crop-pest-natural enemy model with Z-type control — An approach to pest management	2
A diffusive intraguild predation model with variable-carrying capacity proportional to the same biotic resource	2
Deterministic vs. stochastic dynamics of a predator–prey system with disease in prey: Impact of fear and supplementary foods	2
Dynamic analysis of HCV infection and drug resistance using an age-structured multiscale model	2
Stability analysis of a pine wood nematode prevention and control model with delay	2
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	2
Dynamics of a stage-structured insect–vegetable crop interaction model with maturation delay	2
Hopf bifurcation and normal form in a delayed oncolytic model	2
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	2
The stationary distribution of a stochastic heroin epidemic model with distributed delay	2

Effects of sexual and vertical transmission on Zika virus dynamics under environmental fluctuations	2
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	2
Dynamics of a stochastic predator–prey model with disease in predators and Ornstein–Uhlenbeck process	2
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	2
BiTGNN: Prediction of drug–target interactions based on bidirectional transformer and graph neural network on heterogeneous graph	2
Global attractivity of Nicholson’s blowflies system with patch structure and multiple pairs of distinct time-varying delays	2
Permanence and extinction for the stochastic plant–pollinator model with degenerate diffusion	2
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	2
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	2
Noise propagation and amplification in microbial communities with different resistance mechanisms	2
Investigating the DNA Peyrard-Bishop Model by Beta Derivatives Using New Analytical Technique	2
Optimal control of a spatiotemporal discrete tuberculosis model	2
Persistence and periodic measure of a stochastic predator–prey model with Beddington–DeAngelis functional response	2
Mathematical analysis of an age-structured population model with non-local diffusion and distributed delay	2
Hopf bifurcation in a delay-diffusion housefly equation with Dirichlet boundary conditions	2
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	2
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	2
Dynamics analysis in a delayed glucose-insulin model incorporating obesity	2
Bifurcation analysis of the cancer virotherapy system with time delay and diffusion	2
Bistability and bifurcations for a food chain model with nonlinear harvesting of top predator	2
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	1
Stationary probability density and noise-induced transitions in a stochastic host-generalist parasitoid model	1
Exploring Tri-Trophic Food Chain Model with Toxicity and Additional Food: Unraveling Bifurcation, Chaos, Density variation and Bistability	1
Dynamical analysis of a periodically switched predator-prey model with role reversal and hibernation	1
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	1
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	1
Vaccination effect on a stochastic epidemic model with healing and relapse	1
A Rumor Propagation Model Integrated with Psychological Factors	1
Global dynamics on a class of HIV and Mycobacterium tuberculosis co-infection model within body	1
Bifurcation and Turing instability for genetic regulatory networks with diffusion	1
A stochastic analysis of co-infection model in a finite carrying capacity population	1
Dynamical behavior analysis of an eighth-order Sharma’s method	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	1
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	1
Impact of fear on delayed three species food-web model with Holling type-II functional response	1
Dynamics of a predator–prey model with mutation and nonlocal effect	1
Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge	1
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	1
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	1
Optimal contraception control for a nonlinear competitive vermin population model with spatial diffusion and size structure in a polluted environment	1
Tuberculosis transmission with multiple saturated exogenous reinfections	1
Stability analysis of stochastic avian influenza model with nonlinear incidence rate	1
Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia	1
Epidemic transmission modeling with fractional derivatives and environmental pathogens	1
Stability of May’s Host–Parasitoid model with variable stocking upon parasitoids	1
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	1
Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives	1
Dynamic analysis of an HIV/AIDS treatment model incorporating MSM	1
Impact of time delay in a plankton–fish system with nonlinear harvesting and external toxicity	1
Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries	1
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	1
Mathematical analysis of a Candida auris nosocomial infection model on the effects of misidentification in infection transmission	1
Stability and bifurcation analysis of a tri-trophic food chain model with intraguild predation	1
The dynamics and density function of a stochastic SEIW brucellosis model with Ornstein–Uhlenbeck process	1
Bifurcation analysis of a delayed reaction–diffusion–advection Nicholson’s blowflies equation	1
Existence results and behavior analysis for nonlinear age-dependent population dynamics problems with conformable fractional operator	1
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	1
An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics	1
Impulse controls in optimal harvesting of age-structured populations	1
Oscillatory solutions in a 3D predation system with time delay and age structure	1
Simulation and prediction of dengue outbreaks based on an SIR model with a time-dependent transmission rate including meteorological data. An example for Colombo and Jakarta	1
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	1
How can we avoid the extinction of any species naturally? A mathematical model	1
Nutrient-sensitive blue carbon dynamics model: A stochastic model for climate changes mitigation strategies	1
Increase maximum sustainable yield in gradostat	1
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	1
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	1
Extraction of Hybrid Data using Intrinsic Interactions of Relaxation Times in MRI	1
Dynamic analysis of a stochastic reaction diffusion vegetation-water model in arid areas	1
Complex dynamics of a nonlinear discrete predator–prey system with fear factor and harvesting effect	1
The seasonal influenza transmission dynamic and the correlation analysis with meteorology in Beijing	1
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	1
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	1
Intelligent computing networks for nonlinear influenza-A epidemic model	1
Impacts of nonlocal fear effect and delay on a reaction–diffusion predator–prey model	1
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	1
Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect	1
Modeling the transmission dynamics of a two-strain dengue disease with infection age	1
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	1
Exploring the influence of refuges and additional foods on predator–prey interactions amidst environmental stochasticity and water level fluctuations	1
Quasi-stationary probability distribution for the SIR epidemic model	1
Analysis of an avian influenza model with Allee effect and stochasticity	1
Bifurcation and chaos analysis of tumor growth	1
A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources	1
A time-space SIR model for disease spread across two regions: Analysis and numerical simulations	1
Optimal impulsive control in RNA interference mediated by exogenous dsRNA with physiological delays	1
Time-varying sensitivity analysis of an influenza model with interventions	1
Mathematical model and optimal control analysis of coffee berry borer with temperature and rainfall variability	0
Spreading speed for a space-discrete epidemic model with multiple susceptible classes and seasonality	0
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	0
Stability and bifurcation analysis of a Michaelis–Menten-type predator harvesting predator–prey system with strong Allee effect on prey	0
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	0
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	0
Steady-state solutions of one-dimensional equations of non-Newtonian hemodynamics	0