International Journal of Biomathematics

Article	Citations
Stochastic numerical investigations for nonlinear three-species food chain system	79
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	55
Global dynamics of a fractional-order SIR epidemic model with memory	52
Dynamics analysis of fractional-order Hopfield neural networks	42
Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect	38
Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting	33
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment	28
Comparison between two tritrophic food chain models with multiple delays and anti-predation effect	23
Modeling the mechanics of calcium regulation in T lymphocyte: A finite element method approach	23
Analysis and dynamical behavior of a novel dengue model via fractional calculus	22
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	21
Stability analysis of a fractional-order cancer model with chaotic dynamics	21
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	20
Different kinds of generalized rough sets based on neighborhoods with a medical application	20
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation	20
Sensitivity analysis of chronic hepatitis C virus infection with immune response and cell proliferation	17
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis	16
Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis	16
Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection	15
A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction	15
Pythagorean m-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19	15
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting	14
Dynamics of a discrete predator-prey model with Holling-II functional response	14
Fractional approach for mathematical model of phytoplankton–toxic phytoplankton–zooplankton system with Mittag-Leffler kernel	13
Neuro-optimized numerical treatment of HIV infection model	12

Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model	12
A multi-delay model for pest control with awareness induced interventions — Hopf bifurcation and optimal control analysis	12
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	12
Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating	12
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	12
Stability and bifurcation analysis of a fractional-order single-gene regulatory model with delays under a novel PDα control law	11
Analysis of thermal injuries using classical Fourier and DPL models for multi-layer of skin under different boundary conditions	11
Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays	10
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	10
The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps	10
Optimal control application to the epidemiology of HBV and HCV co-infection	10
Bifurcations due to different delays of high-order fractional neural networks	10
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	9
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	9
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	9
Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey	9
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	8
A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination	8
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment	8
Persistence and extinction of Markov switched stochastic Nicholson’s blowflies delayed differential equation	8
Natural selection between two games with environmental feedback	8
Intelligent computing networks for nonlinear influenza-A epidemic model	8
New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory	7
Polynomial dissipativity of proportional delayed BAM neural networks	7
Impulsive multidirectional associative memory neural networks: New results	7
A generalized stochastic competitive system with Ornstein–Uhlenbeck process	7
Interspecific density-dependent model of predator–prey relationship in the chemostat	7
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	7
Global stability of a within-host SARS-CoV-2/cancer model with immunity and diffusion	7
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	7
Dynamics of a stochastic periodic SIRS model with time delay	7
Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect	7
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	7
Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell	7
The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system	6
Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance	6
Time-varying sensitivity analysis of an influenza model with interventions	6
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	6
Global threshold dynamics of an age structured alcoholism model	6
Leslie’s prey–predator model in discrete time	6
Dynamical behavior analysis of an eighth-order Sharma’s method	6
Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay	6
Dynamics of bilateral control system with state feedback for price adjustment strategy	6
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	6
Dynamics of an SIRS model with age structure and two delays	5
Interactions of periodic birth and shearing induce outbreak of Brucellosis in Inner Mongolia	5
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	5
Delayed fuzzy genetic regulatory networks: Novel results	5
Assessing the lifetime performance index of weighted Lomax distribution based on progressive type-II censoring scheme for bladder cancer	5
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	5

Impact of fear on delayed three species food-web model with Holling type-II functional response	5
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	5
The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes	5
Stability and bifurcation for a stochastic differential algebraic Holling-II predator–prey model with nonlinear harvesting and delay	5
Modeling the effectiveness of TV and social media advertisements on the dynamics of water-borne diseases	5
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	5
Cooperative hunting in a discrete predator–prey system	5
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	5
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection	4
Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation	4
Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator	4
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay	4
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	4
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	4
Estimating the impact of antiretroviral therapy on HIV-TB co-infection: Optimal strategy prediction	4
The global stability and optimal control of the COVID-19 epidemic model	4
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	4
Global dynamical analysis of H5 subtype avian influenza model	4
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	4
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	4
Spatiotemporal dynamics of immunogenic tumors	4
Bifurcation and optimal control analysis of delayed models for huanglongbing	4
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	4
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	4
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	4
Modeling a stochastic avian influenza model under regime switching and with human-to-human transmission	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	4
Stability for a competing system of hierarchical age-structured populations	4
Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes	4
Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds	4
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	4
Analysis of a mathematical model for the transmission dynamics of human melioidosis	4
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	4
A mathematical model of cholera in a periodic environment with control actions	4
Invasion waves for a diffusive predator–prey model with two preys and one predator	4
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	3
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	3
Bifurcations and chaos control in a discrete-time biological model	3
Three-dimensional spread analysis of a Dengue disease model with numerical season control	3
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	3
Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model	3
Bifurcation analysis of a fractional-order SIQR model with double time delays	3
Dynamical analysis of an SIS epidemic model with migration and residence time	3
Extended Topp–Leone family of distributions as an alternative to beta and Kumaraswamy type distributions: Application to glycosaminoglycans concentration level in urine	3
Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems	3
Stochastic Nicholson’s blowflies model with delays	3
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	3
Modeling and stability analysis of HIV/HTLV-I co-infection	3
A compartmental model to investigate the dynamics of the COVID-19 pandemic: A case study in five countries	3
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model	3
Impulsive state feedback control during the sulphitation reaction in process of manufacture of sugar	3
Interplays of a waterborne disease model linking within- and between-host dynamics with waning vaccine-induced immunity	3
Dynamics of a stochastic rabies epidemic model with Markovian switching	3
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion	3
Complex dynamics in a Filippov pest control model with group defense	3
Dynamical behavior of recurrent neural networks with different external inputs	3
On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method	3
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals	3
Dynamics of tuberculosis in HIV–HCV co-infected cases	3
On the Simpson index for the Wright–Fisher process with random selection and immigration	3
Permanence and extinction of a single species model in polluted environment	3
Hopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delays	3
A mathematical analysis of a tuberculosis epidemic model with two treatments and exogenous re-infection	3
Invasive-invaded system of non-Lipschitz porous medium equations with advection	3
Two-sex logistic model for human papillomavirus and optimal vaccine	3
The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment	3
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	3
Dynamics of a stochastic SIRS epidemic model with standard incidence under regime switching	3
Asymptotic stability in a mosquito population suppression model with time delay	3
Global dynamics of a model of hepatitis B virus infection in a sub-Saharan African rural area	3
Mathematical formalization of the process of crossing individuals of different populations within the framework of the quasispecies model	3
Age-structure model for oncolytic virotherapy	2
Owner–Intruder contests with correlated resource values	2
Global dynamics for a TB transmission model with age-structure and delay	2
Modeling the impact of awareness programs on the transmission dynamics of dengue and optimal control	2
SIRS epidemic modeling using fractional-ordered differential equations: Role of fear effect	2
Investigating the effect of pyroptosis on the slow CD4+ T cell depletion in HIV-1 infection, by dynamical analysis of its discontinuous mathematical model	2
Microbial insecticide model and homoclinic bifurcation of impulsive control system	2

Analysis of an avian influenza model with Allee effect and stochasticity	2
A stochastic analysis for a triple delayed SIR epidemic model with vaccination incorporating Lévy noise	2
Stability of traveling wave fronts for nonlocal diffusive systems	2
Dynamic of a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments	2
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	2
Dynamics of a delay-induced prey–predator system with interaction between immature prey and predators	2
The stationary distribution and stochastic persistence for a class of disease models: Case study of malaria	2
Erlang mixture distribution with application on COVID-19 cases in Egypt	2
Optimal control of alcoholism spreading through awareness over multiplex network	2
Global dynamics in an age-structured HIV model with humoral immunity	2
A Bayesian test for seasonality in medical data	2
A methodical survey of mathematical model-based control techniques based on open and closed loop control approach for diabetes management	2
A diffusive tuberculosis model with early and late latent infections: New Lyapunov function approach to global stability	2
An SI integrated pest management model with pesticide resistance to susceptible pests	2
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	2
Bifurcation analysis of the cancer virotherapy system with time delay and diffusion	2
Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting	2
SIR model with time-varying contact rate	2
Dynamics and optimal control in transmission of tungiasis diseases	2
Stability in terms of two measures for population growth models with impulsive perturbations	2
Global stability of a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy	2
Dynamical behavior of a mosquito population suppression model composed of two sub-models	2
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	2
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	2
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	2
Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	2
A new quantile regression model for modeling child mortality	2
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	2
A stochastic vaccinated epidemic model incorporating Lévy processes with a general awareness-induced incidence	2
Stochastic epidemic dynamics based on the association between susceptible and recovered individuals	2
Complex dynamics and optimal harvesting for a stochastic food-web model with intraguild predation and time delays	2
Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives	2
Global attractivity of Nicholson’s blowflies system with patch structure and multiple pairs of distinct time-varying delays	2
Analysis on stochastic dynamics of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response	2
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	2
Impact of solitons on the progression of initial lesion in aortic dissection	2
Global exponential p-norm stability of BAM neural networks with unbounded time-varying delays: A method based on the representation of solutions	2
Dynamic analysis based on the relapse rate of drug epidemic model	2
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	2
Bifurcation and chaos analysis of tumor growth	1
A Markov-switching predator–prey model with Allee effect for preys	1
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	1
Mathematical analysis of a time-delayed model on brucellosis transmission with disease testing information	1
Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system	1
Discrete state-structured epidemic models with distributed delays	1
Peristaltic transport in an elastic tube under the influence of dilating forcing amplitudes	1
Optimal control of a diffusive eco-epidemiological predator–prey model	1
Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells	1
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	1
The role of host refuge and strong Allee effects in a host–parasitoid system	1
Global stability of an age-structured model of smoking and its treatment	1
Stability and Hopf bifurcation of a delayed virus infection model with latently infected cells and Beddington–DeAngelis incidence	1
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	1
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	1
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	1
Dynamics of a stage-structured insect–vegetable crop interaction model with maturation delay	1
Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia	1
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	1
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	1
Speed selection of traveling waves to an epidemic model	1
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	1
Development of a wheat aphid population dynamics model based on cusp catastrophe theory	1
Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge	1
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	1
Bifurcation and Turing instability for genetic regulatory networks with diffusion	1
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	1
Mathematical analysis of a model of Ebola disease with control measures	1
Fear and delay effects on a food chain system with two kinds of different functional responses	1
Order shrinkage and selection for the INGARCH(p,q) model	1
Mathematical models for diseases in wildlife populations with indirect transmission	1
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	1
Some stability results for a model of Hepatitis C including alanine aminotransferase and immune system	1
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	1
Permanence and extinction of stochastic regime-switching mutualism model	1
Survival analysis of an impulsive stochastic facultative mutualism system with saturation effect	1
Impulse controls in optimal harvesting of age-structured populations	1
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	1
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	1
Global analysis of a reaction–diffusion blood-stage malaria model with immune response	1
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	1
Study of a crop-pest-natural enemy model with Z-type control — An approach to pest management	1
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	1
Stability of May’s Host–Parasitoid model with variable stocking upon parasitoids	1
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	1
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	1
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	1
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	1
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	1
An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics	1
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	1
Hopf bifurcation analysis of predator–prey model with two delays and disease transmission	1
Stability and bifurcation analysis of a tri-trophic food chain model with intraguild predation	1
A nonlinear optimal control method against the spreading of epidemics	1