International Journal of Biomathematics

Article	Citations
Stochastic numerical investigations for nonlinear three-species food chain system	89
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	58
Dynamics analysis of fractional-order Hopfield neural networks	46
Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting	34
Analysis and dynamical behavior of a novel dengue model via fractional calculus	29
Different kinds of generalized rough sets based on neighborhoods with a medical application	28
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis	26
Comparison between two tritrophic food chain models with multiple delays and anti-predation effect	24
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	24
Stability analysis of a fractional-order cancer model with chaotic dynamics	23
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	23
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation	23
Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis	22
Analysis and chaotic behavior of a fish farming model with singular and non-singular kernel	19
Dynamics of a discrete predator-prey model with Holling-II functional response	18
Neuro-optimized numerical treatment of HIV infection model	18
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	18
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting	18
Intelligent computing networks for nonlinear influenza-A epidemic model	14
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	14
Fractional approach for mathematical model of phytoplankton–toxic phytoplankton–zooplankton system with Mittag-Leffler kernel	14
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	13
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	13
Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating	13
The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps	12

Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	12
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	12
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	12
Analysis of thermal injuries using classical Fourier and DPL models for multi-layer of skin under different boundary conditions	12
Optimal control application to the epidemiology of HBV and HCV co-infection	12
Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey	11
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment	11
Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays	10
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	10
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	10
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	10
Bifurcations due to different delays of high-order fractional neural networks	10
Nonlinear dynamics of a three-dimensional discrete-time delay neural network	9
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	9
Interspecific density-dependent model of predator–prey relationship in the chemostat	9
Impulsive multidirectional associative memory neural networks: New results	8
Dynamical behavior analysis of an eighth-order Sharma’s method	8
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	8
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	8
Natural selection between two games with environmental feedback	8
A generalized stochastic competitive system with Ornstein–Uhlenbeck process	8
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	8
Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection	7
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	7
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	7
Global stability of a within-host SARS-CoV-2/cancer model with immunity and diffusion	7
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	7
Impact of fear on delayed three species food-web model with Holling type-II functional response	7
The global stability and optimal control of the COVID-19 epidemic model	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
Time-varying sensitivity analysis of an influenza model with interventions	7
The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system	6
Modeling the effectiveness of TV and social media advertisements on the dynamics of water-borne diseases	6
Interactions of periodic birth and shearing induce outbreak of Brucellosis in Inner Mongolia	6
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	6
Stability and bifurcation for a stochastic differential algebraic Holling-II predator–prey model with nonlinear harvesting and delay	6
Impact of solitons on the progression of initial lesion in aortic dissection	6
Dynamics of bilateral control system with state feedback for price adjustment strategy	6
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	6
Global threshold dynamics of an age structured alcoholism model	6
An analytical approach for the fractional-order Hepatitis B model using new operator	6
Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems	6
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	6
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model	5
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay	5
A stochastic analysis of co-infection model in a finite carrying capacity population	5
Estimating the impact of antiretroviral therapy on HIV-TB co-infection: Optimal strategy prediction	5
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	5
Bifurcation and optimal control analysis of delayed models for huanglongbing	5

Assessing the lifetime performance index of weighted Lomax distribution based on progressive type-II censoring scheme for bladder cancer	5
Dynamics of an SIRS model with age structure and two delays	5
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	5
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	5
The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes	5
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	5
Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds	5
Dynamics of a delayed reaction–diffusion predator–prey model with nonlocal competition and double Allee effect in prey	5
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	5
Delayed fuzzy genetic regulatory networks: Novel results	5
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	5
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	5
Extended Topp–Leone family of distributions as an alternative to beta and Kumaraswamy type distributions: Application to glycosaminoglycans concentration level in urine	4
Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change	4
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals	4
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	4
Mathematical analysis of a model of Ebola disease with control measures	4
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	4
Global dynamical analysis of H5 subtype avian influenza model	4
Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes	4
Interplays of a waterborne disease model linking within- and between-host dynamics with waning vaccine-induced immunity	4
On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method	4
Stochastic Nicholson’s blowflies model with delays	4
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	4
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	4
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	4
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	4
Two-sex logistic model for human papillomavirus and optimal vaccine	4
Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator	4
The productivity of two serial chemostats	4
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	4
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	4
Dynamics of tuberculosis in HIV–HCV co-infected cases	4
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	4
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	4
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Complex dynamics in a Filippov pest control model with group defense	4
Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model	4
Three-dimensional spread analysis of a Dengue disease model with numerical season control	4
Dynamical behavior of recurrent neural networks with different external inputs	3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge	3
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	3
Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting	3
Discrete state-structured epidemic models with distributed delays	3
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion	3
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	3
A new quantile regression model for modeling child mortality	3
Global dynamics in an age-structured HIV model with humoral immunity	3
Dynamics of a delay-induced prey–predator system with interaction between immature prey and predators	3
The impact of fear effect on the dynamics of a delayed predator–prey model with stage structure	3
Dynamical behavior of a mosquito population suppression model composed of two sub-models	3
Asymptotic stability in a mosquito population suppression model with time delay	3
Mathematical formalization of the process of crossing individuals of different populations within the framework of the quasispecies model	3
Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives	3
Bifurcation and chaos analysis of tumor growth	3
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	3
A diffusive tuberculosis model with early and late latent infections: New Lyapunov function approach to global stability	3
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	3
A stochastic analysis for a triple delayed SIR epidemic model with vaccination incorporating Lévy noise	3
Dynamics of a stochastic rabies epidemic model with Markovian switching	3
Global exponential p-norm stability of BAM neural networks with unbounded time-varying delays: A method based on the representation of solutions	3
Impact of vaccination on the dynamics of COVID-19: A mathematical study using fractional derivatives	3
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	3
Dynamical analysis of an SIS epidemic model with migration and residence time	3
Modeling the impact of awareness programs on the transmission dynamics of dengue and optimal control	3
Modeling and stability analysis of HIV/HTLV-I co-infection	3
Stability and bifurcation analysis of a tri-trophic food chain model with intraguild predation	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
A compartmental model to investigate the dynamics of the COVID-19 pandemic: A case study in five countries	3
SIRS epidemic modeling using fractional-ordered differential equations: Role of fear effect	3
Invasive-invaded system of non-Lipschitz porous medium equations with advection	3
The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment	3
Age-structure model for oncolytic virotherapy	3
A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis	3
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	3
Dynamics of a stochastic SIRS epidemic model with standard incidence under regime switching	3
SIR model with time-varying contact rate	2

Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	2
Dynamic analysis based on the relapse rate of drug epidemic model	2
Dynamics and optimal control in transmission of tungiasis diseases	2
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	2
A fractional control model to study Monkeypox transport network-related transmission	2
Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	2
A methodical survey of mathematical model-based control techniques based on open and closed loop control approach for diabetes management	2
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	2
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	2
A bio-mathematical approach to control the Anopheles mosquito using sterile males technology	2
Bifurcation analysis of the cancer virotherapy system with time delay and diffusion	2
Stability analysis of proportional delayed projection neural network for quadratic programming problem	2
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	2
Kinetic analysis of p53 gene network with time delays and PIDD	2
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	2
On the investigation of a one-dimensional blood flow model in elastic arteries under symmetry analysis	2
Stability of traveling wave fronts for nonlocal diffusive systems	2
Optimal control application to a Kaposi’s sarcoma treatment model	2
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	2
Backward bifurcation, basic reinfection number and robustness of an SEIRE epidemic model with reinfection	2
Optimal control of alcoholism spreading through awareness over multiplex network	2
Application of neural-network hybrid models in estimating the infection functions of nonlinear epidemic models	2
Owner–Intruder contests with correlated resource values	2
Dynamics of a stage-structured insect–vegetable crop interaction model with maturation delay	2
Global attractivity of Nicholson’s blowflies system with patch structure and multiple pairs of distinct time-varying delays	2
Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity	2
Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells	2
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	2
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	2
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	2
Global stability of a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy	2
Dynamic of a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments	2
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	2
Analysis on stochastic dynamics of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response	2
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	2
Finite-time stability of a stochastic tree–grass–water–nitrogen system with impulsive and time-varying delay	2
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	2
A stochastic vaccinated epidemic model incorporating Lévy processes with a general awareness-induced incidence	2
A Bayesian test for seasonality in medical data	2
Dynamic analysis of an HIV/AIDS treatment model incorporating MSM	2
Analysis of a population model with advection and an autocatalytic-type growth	2
Complex dynamics and optimal harvesting for a stochastic food-web model with intraguild predation and time delays	2
Stochastic epidemic dynamics based on the association between susceptible and recovered individuals	2
Erlangmixture distribution with application on COVID-19 cases in Egypt	2
Microbial insecticide model and homoclinic bifurcation of impulsive control system	2
Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system	1
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	1
Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Order shrinkage and selection for the INGARCH(p,q) model	1
Impacts of nonlocal fear effect and delay on a reaction–diffusion predator–prey model	1
Global stability of an age-structured model of smoking and its treatment	1
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	1
Bifurcation analysis of a diffusive predator–prey model with hyperbolic mortality and prey-taxis	1
Optimal placement of marine protected areas for a predator–prey fish model	1
Optimal control and bifurcation analysis of a delayed fractional-order epidemic model for the COVID-19 pandemic	1
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	1
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	1
Speed selection of traveling waves to an epidemic model	1
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	1
Stability of May’s Host–Parasitoid model with variable stocking upon parasitoids	1
Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia	1
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	1
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation	1
The role of host refuge and strong Allee effects in a host–parasitoid system	1
Global analysis of a network-based SIR epidemic model with a saturated treatment function	1
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	1
Mathematical analysis of a Candida auris nosocomial infection model on the effects of misidentification in infection transmission	1
Global dynamics in a model for anthrax transmission in animal populations	1
Some qualitative analyses on a vegetation-water model with cross-diffusion and internal competition	1
A class of anomalous diffusion epidemic models based on CTRW and distributed delay	1
Survival analysis of an impulsive stochastic facultative mutualism system with saturation effect	1
Transmission dynamics and optimal control of H7N9 in China	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics	1
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	1
A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources	1
Optimal control of a spatiotemporal discrete tuberculosis model	1
Bifurcation and Turing instability for genetic regulatory networks with diffusion	1
Study of a crop-pest-natural enemy model with Z-type control — An approach to pest management	1
Deterministic vs. stochastic dynamics of a predator–prey system with disease in prey: Impact of fear and supplementary foods	1
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	1
Hopf bifurcation in a delayed prey–predator model with prey refuge involving fear effect	1
Traveling waves of modified Leslie–Gower predator–prey systems	1
Fear and delay effects on a food chain system with two kinds of different functional responses	1
Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect	1
Effect of spatial memory on a predator–prey model with herd behavior	1
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	1
Dynamics of a predator–prey system with sublethal effects of pesticides on pests and natural enemies	1
A nonlinear optimal control method against the spreading of epidemics	1
Quasi-stationary probability distribution for the SIR epidemic model	1
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	1
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	1
Impulse controls in optimal harvesting of age-structured populations	1
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	1