International Journal of Biomathematics

Article	Citations
Stationary distribution and probability density function of a stochastic waterborne pathogen model with logistic growth	89
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	58
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	29
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	28
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	26
Bifurcation analysis and pattern formation of an epidemic model with diffusion	24
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	23
A Bayesian test for seasonality in medical data	23
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	22
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	19
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	18
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	18
Dynamics of a stochastic rabies epidemic model with Markovian switching	18
A nonlinear optimal control method against the spreading of epidemics	14
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	14
Global stability analysis of an epidemic model with feedback control and general incidence rate	14
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	13
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	13
A mathematical modeling of rabies with vaccination and culling	13
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	12
Exponential stability and optimal control of a stochastic brucellosis model with spatial diffusion and nonlocal transmission	12
Assessing the impact of agrochemicals on schistosomiasis transmission: A mathematical study	12
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	12
Speed selection of traveling waves to an epidemic model	12
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	12

Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	10
Stability and bifurcation of a delayed Aron–May model for malaria transmission	10
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	10
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	10
A stochastic SIS epidemic infectious diseases model with double stochastic perturbations	10
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	9
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	9
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	8
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	8
Stability and metastability in a chemotaxis model	8
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	8
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	8
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	8
Optimal control of alcoholism spreading through awareness over multiplex network	7
Global dynamics in an age-structured HIV model with humoral immunity	7
Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	7
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with Ornstein–Uhlenbeck process	7
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	7
Dynamical analysis of a modified Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge and treatment	7
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	7
Age-structure model for oncolytic virotherapy	7
Invasive-invaded system of non-Lipschitz porous medium equations with advection	7
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	7
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	6
Global dynamics in a model for anthrax transmission in animal populations	6
Integrative Subtyping of Nonsmall Cell Lung Cancer Using Histopathology and Multi-Omics Data	6
Final size of an n-group SEIR epidemic model with nonlinear incidence rate	6
Optimal placement of marine protected areas for a predator–prey fish model	6
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	6
Persistence and Global Attractivity of A Nonlocal Single Phytoplankton Species Model in Almost Periodic Environments	6
Discrete state-structured epidemic models with distributed delays	6
Mathematical Analysis and Dynamical Transmission of (SEIrIsR) Model with Different Infection Stages by using fractional operator	5
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	5
Different kinds of generalized rough sets based on neighborhoods with a medical application	5
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	5
Optimizing third party funding to alleviate global drug resistance: A game-theoretic modeling approach	5
Influence of nanoparticles on the spatiotemporal dynamics of phytoplankton–zooplankton interaction system	5
Inhomogeneous Hopf bifurcation and stability in a two-competing-prey and one-predator model with cross-diffusion	5
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	5
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	5
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	5
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	5
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	5
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	5
Analysis of the free boundary problem of vascular tumor growth with periodic nutrient supply and time delay terms	5
Codimension-1,2 bifurcation analysis of glucose model with obesity effect	4
Global insights into seed dispersal mutualism with cooperative efforts and environmental variability	4
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	4
Stability and bifurcation analysis of a nonlinear dynamical model studying the decline of vulture population	4
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	4

Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	4
Dynamical aspects of corona virus infection	4
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Global stability of an age-structured model of smoking and its treatment	4
The role of host refuge and strong Allee effects in a host–parasitoid system	4
Stability analysis of a pine wood nematode prevention and control model with delay	4
Dynamic analysis based on the relapse rate of drug epidemic model	4
Dynamics of a reaction–diffusion three-species food chain model: Effect of space-time white noise	4
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	4
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	4
Bifurcation and optimal control analysis of delayed models for huanglongbing	4
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	4
On the dynamics of a Zika disease model with vector-bias	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	4
Quantum entangled connectivity and functional connectivity of human brain	4
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	4
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	4
A diffusive intraguild predation model with variable-carrying capacity proportional to the same biotic resource	4
Effects of sexual and vertical transmission on Zika virus dynamics under environmental fluctuations	3
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	3
Order shrinkage and selection for the INGARCH(p,q) model	3
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	3
Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity	3
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	3
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	3
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	3
Hopf bifurcation in a delayed prey–predator model with prey refuge involving fear effect	3
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	3
Fear and delay effects on a food chain system with two kinds of different functional responses	3
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	3
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	3
BiTGNN: Prediction of drug–target interactions based on bidirectional transformer and graph neural network on heterogeneous graph	3
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	3
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	3
The effect of sudden fluctuations on a treated Hepatitis C model	3
A Global Solution to a Hyperbolic Problem for Blood Flow Modelling	3
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	3
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	3
Noise propagation and amplification in microbial communities with different resistance mechanisms	3
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	3
The dynamics of traveling wavefronts for a model describing host tissue degradation by bacteria	3
The global stability and optimal control of the COVID-19 epidemic model	3
Dynamics analysis in a delayed glucose-insulin model incorporating obesity	3
Global stability of a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy	3
Permanence and extinction for the stochastic plant–pollinator model with degenerate diffusion	3
Well posedness analysis of a parabolic-hyperbolic free boundary problem for necrotic tumors growth	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	3
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation	3
Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response	3
Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number	3
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	3
Dynamics and parameter identification of SIRDS models with aging population factor	2
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	2
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	2
Investigation of infertility treatments on infertile couples through fractional-order modeling approach	2
Dynamical behavior analysis of an eighth-order Sharma’s method	2
Optimal control of a spatiotemporal discrete tuberculosis model	2
Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system	2
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	2
Global attractivity of Nicholson’s blowflies system with patch structure and multiple pairs of distinct time-varying delays	2
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	2
Bifurcation and Turing instability for genetic regulatory networks with diffusion	2
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	2
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	2
A stage-structured prey–predator interaction model with the impact of fear and hunting cooperation	2
Dynamic analysis of HCV infection and drug resistance using an age-structured multiscale model	2
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	2
Delayed fuzzy genetic regulatory networks: Novel results	2
Optimal contraception control for a nonlinear competitive vermin population model with spatial diffusion and size structure in a polluted environment	2
A time-space SIR model for disease spread across two regions: Analysis and numerical simulations	2
Complex dynamics and optimal harvesting for a stochastic food-web model with intraguild predation and time delays	2
Tuberculosis transmission with multiple saturated exogenous reinfections	2
Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells	2
Dynamics of a stage-structured insect–vegetable crop interaction model with maturation delay	2
Dynamics of a stochastic predator–prey model with disease in predators and Ornstein–Uhlenbeck process	2
Persistence and periodic measure of a stochastic predator–prey model with Beddington–DeAngelis functional response	2
Optimal control model for IVF treatment in women	2

Bistability and bifurcations for a food chain model with nonlinear harvesting of top predator	2
Deterministic vs. stochastic dynamics of a predator–prey system with disease in prey: Impact of fear and supplementary foods	2
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	2
Bifurcation analysis of the cancer virotherapy system with time delay and diffusion	2
Demand assessment of the number of inpatient beds in China based on the COVID-19 dynamical model	2
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	2
Impacts of transpiration of agricultural crops and seeding on rainfall: Implications from a mathematical model	2
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	2
Study of a crop-pest-natural enemy model with Z-type control — An approach to pest management	2
Mathematical analysis of a model of Ebola disease with control measures	2
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	2
Optimal control application to the epidemiology of HBV and HCV co-infection	2
Bifurcation and chaos analysis of tumor growth	2
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	2
Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Stationary probability density and noise-induced transitions in a stochastic host-generalist parasitoid model	1
A Rumor Propagation Model Integrated with Psychological Factors	1
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	1
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	1
Impact of fear on delayed three species food-web model with Holling type-II functional response	1
Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives	1
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	1
Impulse controls in optimal harvesting of age-structured populations	1
Dynamics of a discrete Rosenzweig–MacArthur predator–prey model with piecewise-constant arguments	1
Analysis and chaotic behavior of a fish farming model with singular and non-singular kernel	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 of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	1
Mathematical analysis of a Candida auris nosocomial infection model on the effects of misidentification in infection transmission	1
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	1
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	1
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	1
A semilinear parabolic predator–prey system with time delay and habitat complexity effect	1
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	1
A class of natural pinus koraiensis population system with time delay and diffusion term	1
Analysis of an avian influenza model with Allee effect and stochasticity	1
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	1
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	1
Global analysis of a juvenile-adult model for cannibalistic species	1
Optimal impulsive control in RNA interference mediated by exogenous dsRNA with physiological delays	1
Dynamics of a predator–prey model with mutation and nonlocal effect	1
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	1
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	1
The sign of bistable wave speed for a plankton model	1
Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries	1
Exploring the influence of refuges and additional foods on predator–prey interactions amidst environmental stochasticity and water level fluctuations	1
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	1
The stationary distribution of a stochastic heroin epidemic model with distributed delay	1
Impact of time delay in a plankton–fish system with nonlinear harvesting and external toxicity	1
Stability and bifurcation analysis of a tri-trophic food chain model with intraguild predation	1
Oscillatory solutions in a 3D predation system with time delay and age structure	1
Dynamics of tuberculosis in HIV–HCV co-infected cases	1
Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge	1
Quasi-stationary probability distribution for the SIR epidemic model	1
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	1
A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources	1
An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics	1
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	1
Author index (Volume 17)	1
Stability of May’s Host–Parasitoid model with variable stocking upon parasitoids	1
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	1
Hopf bifurcation and normal form in a delayed oncolytic model	1
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	1
Time-varying sensitivity analysis of an influenza model with interventions	1
Multi-objective optimal control of tungiasis diseases with terminal demands	1
Modeling the transmission dynamics of a two-strain dengue disease with infection age	1
The seasonal influenza transmission dynamic and the correlation analysis with meteorology in Beijing	1
How can we avoid the extinction of any species naturally? A mathematical model	1
Complex dynamics of a nonlinear discrete predator–prey system with fear factor and harvesting effect	1
Hopf bifurcation in a delay-diffusion housefly equation with Dirichlet boundary conditions	1
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	1
Mathematical analysis of an age-structured population model with non-local diffusion and distributed delay	1
Dynamic analysis of an HIV/AIDS treatment model incorporating MSM	1
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	1
Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect	1
Vaccination effect on a stochastic epidemic model with healing and relapse	1
Existence results and behavior analysis for nonlinear age-dependent population dynamics problems with conformable fractional operator	1
Stability analysis of a fractional-order cancer model with chaotic dynamics	1
Modeling and stability analysis of HIV/HTLV-I co-infection	1
Supercritical Hopf bifurcations in the stage-structured model of housefly populations	1
Nutrient-sensitive blue carbon dynamics model: A stochastic model for climate changes mitigation strategies	1
Ergodic stationary distribution of two stochastic tuberculosis models with imperfect vaccination and early and late latency	1
Epidemic transmission modeling with fractional derivatives and environmental pathogens	1
Asymptotic behavior of an SIQR epidemic model driven by Lévy jumps on scale-free networks	1
Bifurcation analysis of a delayed reaction–diffusion–advection Nicholson’s blowflies equation	1
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	1
Intelligent computing networks for nonlinear influenza-A epidemic model	1
Analysis and control of a delayed population model with an Allee effect	1
Developing and studying the dynamical behavior of a nonlinear mathematical model for cancers with tumor by considering immune system role	0
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	0
Dynamic analysis of a syphilis epidemic model with time delay and control measures	0
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	0
Minimal wave speed in an HIV-1 virus integrodifference system	0
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	0
Analysis of control measures inducing the evolution of infectious viral diseases	0