International Journal of Biomathematics

Article	Citations
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	97
Optimal placement of marine protected areas for a predator–prey fish model	65
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	48
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	44
Age-structure model for oncolytic virotherapy	37
Stability and bifurcation of a delayed Aron–May model for malaria transmission	31
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	29
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	28
A Bayesian test for seasonality in medical data	26
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	23
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	20
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	20
Order shrinkage and selection for the INGARCH(p,q) model	19
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	15
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	15
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	14
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	14
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	14
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	14
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	14
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	13
Stability analysis of a pine wood nematode prevention and control model with delay	13
Dynamical aspects of corona virus infection	13
The effect of sudden fluctuations on a treated Hepatitis C model	13
Optimal control application to the epidemiology of HBV and HCV co-infection	13

Pattern dynamics and bifurcation in delayed SIR network with diffusion network	13
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	12
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	11
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	11
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	11
Residual Shufflenet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	11
Epidemic transmission modeling with fractional derivatives and environmental pathogens	10
Dynamical behavior analysis of an eighth-order Sharma’s method	10
Dynamic analysis of a stochastic reaction diffusion vegetation-water model in arid areas	9
How can we avoid the extinction of any species naturally? A mathematical model	9
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	9
A rumor propagation model integrated with psychological factors	9
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	9
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	8
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	8
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	8
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	8
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	8
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	8
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	8
Dynamics of Squirrel Populations Competition Model with the Influence of Fear Effect and Squirrel-pox Virus	8
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	8
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	7
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	7
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	7
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	7
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	7
Propagation dynamics of diffusive disease models with infectious stages	7
Dynamics of an Echinococcosis transmission model	7
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	7
Modelling of Cancer Growth Considering the Dynamics of Mutation and Controlling the Cell Proliferation of Cancer in the Presence of Mutation Using Adaptive Control	7
On a diffusive bacteriophage dynamical model for bacterial infections	7
Dynamics and optimal control in transmission of tungiasis diseases	7
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	7
The analysis of deterministic and stochastic SIM model with general information intervention	6
Numerical analysis of skin cancer model induced by ultraviolet radiation	6
Dynamic analysis of a syphilis epidemic model with time delay and control measures	6
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	6
Author index (Volume 16)	6
Global dynamical analysis of H5 subtype avian influenza model	6
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	6
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	6
The dynamics of delayed models for interactive wild and sterile mosquito populations	6
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	5
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	5
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	5

Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	5
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	5
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	5
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	5
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	5
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	5
A nonlinear optimal control method against the spreading of epidemics	5
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	5
A Multi-Layer Computational Neural Network Approach for Solving Stochastic Within-Host Chikungunya Model with an Adaptive Immune Response	5
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Stability and metastability in a chemotaxis model	5
Mathematical modeling of malaria with vaccination, treatment and vector control	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
Dynamics and parameter identification of SIRDS models with aging population factor	4
Impact of fear on delayed three species food-web model with Holling type-II functional response	4
Tuberculosis transmission with multiple saturated exogenous reinfections	4
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	4
Noise propagation and amplification in microbial communities with different resistance mechanisms	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	4
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	4
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	4
Vaccination effect on a stochastic epidemic model with healing and relapse	4
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Dynamics of a predator–prey model with mutation and nonlocal effect	4
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	4
Measles transmission dynamics and optimal control in Guangdong, China	4
Impulse controls in optimal harvesting of age-structured populations	4
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	3
Diverse Bifurcation Structures and Multi-Stability in Interacting Species Dynamics	3
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
Author index (Volume 17)	3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	3
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	3
Discrete time Dynamics in a Two-Strain Symbiotic Contact Process	3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	3
Dynamical analysis and optimal control for a delayed viral infection model	3
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	3
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	3
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	3
Minimal wave speed for a predator–prey system with nonlocal dispersal	3
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	3
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	3
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	3
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	3
Transmission dynamics and optimal control of H7N9 in China	3
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	3
A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis	3
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	3
A class of natural pinus koraiensis population system with time delay and diffusion term	3
Fear and delay effects on a food chain system with two kinds of different functional responses	2
Dynamic of the air pollution pathogenic model and optimization control	2
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	2
Mathematical modeling of the impact of temperature variations and immigration on malaria prevalence in Nigeria	2
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	2
The productivity of two serial chemostats	2
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	2
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	2
Analysis of the dynamical properties for the cancer cells density inside a two dimensional growth spatial region	2
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	2
Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
Investigating Stochastic Delays in Dengue Transmission Patterns: A Numerical Analysis	2

Microbial insecticide model and homoclinic bifurcation of impulsive control system	2
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	2
Global stability of an age-structured model of smoking and its treatment	2
Dynamics analysis in a delayed glucose-insulin model incorporating obesity	2
Stability of periodic solution for a novel delayed nonautonomous reaction-diffusion food chain systems with ratio-dependent	2
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	2
A discrete tick population dynamics model with continuous and seasonal birth breeding	2
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	2
Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating	2
Dynamic analysis of a latent HIV infection model with CTL immune and antibody responses	2
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	2
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	2
Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes	2
Time-varying sensitivity analysis of an influenza model with interventions	2
How Does the Enhanced Mortality of Wolbachia-Infected Immature Mosquitoes Affect Dengue Transmission?	2
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	2
Stochastic analysis of cholera model with Lévy jumps	2
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	2
Dynamics of a Two-Strain Disease Model with General Incidence function and Treatment	2
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	2
Dynamics of a discrete Rosenzweig–MacArthur predator–prey model with piecewise-constant arguments	2
The role of host refuge and strong Allee effects in a host–parasitoid system	2
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	2
The influence of saturated fear effects on species dynamics: A Lotka–Volterra competition model analysis	2
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	2
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	2
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	2
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	2
Different kinds of generalized rough sets based on neighborhoods with a medical application	2
Global dynamics of a time-fractional spatio-temporal SEIR model with a general incidence rate	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
The sign of bistable wave speed for a plankton model	2
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction–diffusion enzyme reaction model	2
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	2
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	2
Regularity and stability of neural impulse propagation in Alzheimer’s using an adapted Fitzhugh–Nagumo model	2
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	2
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	1
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	1
Discrete state-structured epidemic models with distributed delays	1
A dynamic study of the effects of latent syphilis infection and assessment of control strategies in China	1
The research on purification of brucellosis in dairy farm based on stochastic model	1
Dynamic analysis of HCV infection and drug resistance using an age-structured multiscale model	1
Bistability and bifurcations for a food chain model with nonlinear harvesting of top predator	1
Quantum entangled connectivity and functional connectivity of human brain	1
Dynamic analysis of a stochastic SVEIR epidemic model with saturated incidence and partial vaccination	1
Dynamics of a stochastic predator–prey model with disease in predators and Ornstein–Uhlenbeck process	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch	1
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	1
An analytical approach for the fractional-order Hepatitis B model using new operator	1
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	1
On the spread of ultrafine particulate matter: A mathematical model for motor vehicle emissions and their effects as an asthma trigger	1
Interpreting the COVID-19 infection geospatial data of Indian provinces for Alpha, Delta and Omicron variants using ARIMA and machine learning	1
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	1
Stability and bifurcations of a host–parasitoid model with general host escape function and general stocking upon parasitoids	1
Bifurcation analysis and pattern formation of an epidemic model with diffusion	1
Spatial dynamics of a reaction–diffusion SIS epidemic model with mass-action-type nonlinearity	1
Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal	1
Intraspecific diffusion variation promotes emergence of spatial patterns	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
Bifurcation and optimal control analysis of delayed models for huanglongbing	1
On the dynamics of a Zika disease model with vector-bias	1
Bifurcation analysis in a modified Leslie-type predator–prey system with Holling-type III functional response and special Allee effect induced by fear factors	1
Dynamics of a nonlocal diffusion model of hepatitis c virus infection with logistic hepatocyte growth and spatial heterogeneity	1
A class of anomalous diffusion epidemic models based on CTRW and distributed delay	1
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	1
Propagation dynamics of a reaction–diffusion two-group SIR epidemic model with constant recruitment	1
Oscillatory mechanism in menstrual cycle model regulated by negative feedback loops with two time delays	1
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	1
Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain	1
Global insights into a stochastic SIRS epidemic model with Beddington–DeAngelis incidence rate	1
Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect	1
Impact of social media and word-of-mouth on the transmission dynamics of communicable and non-communicable diseases	1
An age-structured tuberculosis model with information and immigration: Stability and simulation study	1
The long-time behaviors of non-autonomous stochastic Nicholson’s blowflies systems with patch structure and time delays	1
Invasive-invaded system of non-Lipschitz porous medium equations with advection	1
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	1
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	1
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	1
Deterministic vs. stochastic dynamics of a predator–prey system with disease in prey: Impact of fear and supplementary foods	1
The global stability and optimal control of the COVID-19 epidemic model	1
Optimal control and bifurcation analysis of a delayed fractional-order epidemic model for the COVID-19 pandemic	1
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	1
Global analysis of a network-based SIR epidemic model with a saturated treatment function	1
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	1
A new COVID-19 variant Kraken: The modeling and analysis of the XBB.1.5 with treatment and immunization control factors	1
A mathematical study of the interaction between oxygen and lactate in an in vivo and in vitro tumor	1
A reaction–diffusion model of major emerging infectious diseases in a spatially heterogeneous environment and case study	1
Dynamics of a delayed reaction–diffusion predator–prey model with nonlocal competition and double Allee effect in prey	1
Dynamics of a vegetation management model with seasonal rainfall and groundwater diffusion	1
Impact of water stress on plants production: A study case of banana-plantain	1
Transmission dynamics of a Brucellosis model with incubation period	1