International Journal of Biomathematics

Article	Citations
Predation model with prey-dependent carrying capacity for predators	98
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	72
Optimal placement of marine protected areas for a predator–prey fish model	62
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	53
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	42
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	30
Bifurcations and chaos in the discrete-time Zeeman heartbeat model	24
Pattern dynamics of vegetation and soil nutrients in eroded areas	24
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	21
Stability and bifurcation of a delayed Aron–May model for malaria transmission	21
Dynamics of a COVID-19 model with comorbidity: Fractional order approaches	21
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	17
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	17
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	17
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study	17
Stability and bifurcation in a discrete Phytoplankton–Zooplankton model with holling-type toxic effects	16
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	15
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	15
Bayesian estimation of parametric AFT models for high-dimensional survival data	15
Dynamical aspects of corona virus infection	15
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	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
Continuous and discontinuous stationary patterns and bifurcation of a predator–prey model with strong Allee effect	13
The effect of sudden fluctuations on a treated Hepatitis C model	13

New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	13
Stability analysis of a pine wood nematode prevention and control model with delay	13
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	13
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	13
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	12
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	12
How can we avoid the extinction of any species naturally? A mathematical model	11
A rumor propagation model integrated with psychological factors	10
Dynamic analysis of a stochastic reaction–diffusion vegetation–water model in arid areas	10
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	10
Epidemic transmission modeling with fractional derivatives and environmental pathogens	10
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	9
Dynamical behavior analysis of an eighth-order Sharma’s method	9
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	9
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	9
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	9
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	9
Bifurcation analysis and optimal control of an infection age-structured epidemic model with vaccination and treatment	8
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	8
Modeling of cancer growth considering the dynamics of mutation and controlling the cell proliferation of cancer in the presence of mutation using adaptive control	8
On a diffusive bacteriophage dynamical model for bacterial infections	8
Multiple stability switches and Hopf bifurcation in an epidemic model with susceptible protection period	8
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	8
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	8
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	8
Dynamics of squirrel populations competition model with the influence of fear effect and squirrel-pox virus	8
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	7
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	7
Hopf bifurcation analysis, geometric perturbation theory and stability for predator–prey model with Holling type II interaction function under diffusive and advection term	7
Dynamics of an Echinococcosis transmission model	7
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	7
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	7
Investigation of stability criteria and optimal control measures for a fractional-order model of human papillomavirus infection and cervical cancer	7
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	7
The analysis of deterministic and stochastic SIM model with general information intervention	7
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	7
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	7
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise	6
Propagation dynamics of diffusive disease models with infectious stages	6
Effects of efficient water resource management on vegetation distribution and pattern structures	6
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	6
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	6
Numerical analysis of skin cancer model induced by ultraviolet radiation	6
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	6
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models	6
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	6
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	6
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread	6

Utilizing and investigating the hybrid fractional operators to analyze lung cancer treatment and precautions	6
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	6
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
Evolution of vector-borne viral infections: A case study of dengue virus	5
Theoretical analysis of an immune response model	5
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	5
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
Global dynamical analysis of H5 subtype avian influenza model	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Dynamics of Bilateral State Feedback Control Model for Artificial Grassland Cultivation in Toxin Environment	5
Influence of protection zone on a diffusive host-generalist parasitoid model	5
Dynamic analysis of a syphilis epidemic model with time delay and control measures	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5
Author index (Volume 16)	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
Dynamical Model of HIV infection with homeostatic growth of CD4+ T cells and immune response	5
Optimization modeling for identification of parameters and initial condition; application to SIRU-type epidemic models	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
The dynamics of delayed models for interactive wild and sterile mosquito populations	5
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	5
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Noise propagation and amplification in microbial communities with different resistance mechanisms	4
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	4
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	4
Analytical solution of heat transfer properties within dental tissue induced by repeated pulsed laser irradiation	4
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	4
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	4
Analysis of an avian influenza model with Allee effect and stochasticity	4
Dynamics and parameter identification of SIRDS models with aging population factor	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Stability and metastability in a chemotaxis model	4
A nonlinear optimal control method against the spreading of epidemics	4
Optimizing and invigilation of neurological disorder analysis with signal pattern multiscale modeling via fractional operator	4
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	4
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
Mathematical modeling of malaria with vaccination, treatment and vector control	4
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	4
Fear suppressing chaos in intraguild predation systems	4
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	4
Vaccination effect on a stochastic epidemic model with healing and relapse	3
Brain Tumor Detection using GPT-NeoX-20B Large Language Model Driven Scaling Wide Residual Neuron Attention Stage-by-Stage Net	3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	3
Dynamics of a host-parasite model with impulsive culling and density-dependent stocking during fish reproductive cycles	3
A class of natural pinus koraiensis population system with time delay and diffusion term	3
Tuberculosis transmission with multiple saturated exogenous reinfections	3
Measles transmission dynamics and optimal control in Guangdong, China	3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	3
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	3
Advancing artificial pancreas with optimal PID-fuzzy logic insulin infusion for type I diabetes	3
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	3
Dynamics of a predator–prey model with mutation and nonlocal effect	3
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	3
Impact of fear on delayed three species food-web model with Holling type-II functional response	3
Impulse controls in optimal harvesting of age-structured populations	3
Transmission dynamics and optimal control of H7N9 in China	3
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	3
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts	3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	3
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process	3
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	3
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	2
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	2
Interferon and oncolytic virus synergistically regulate the proliferation of tumor cells in oncolytic virotherapy	2
Discrete time dynamics in a two-strain symbiotic contact process	2
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	2
Spreading speed of a reaction–diffusion two-strain SIR epidemic model	2
The influence of saturated fear effects on species dynamics: A Lotka–Volterra competition model analysis	2

Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	2
Dynamics of a switched pest management model with seasonally migrating, predation-induced fear and unilaterally interspecific cooperative hunting	2
How Does the Enhanced Mortality of Wolbachia-Infected Immature Mosquitoes Affect Dengue Transmission?	2
Entropy Framework Analysis of Magnetized Hybrid Nano-Blood Flow Modulated by Cilia Beating in a Curved Endoscopic Arterial Annulus	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
Analysis of the dynamical properties for the cancer cells density inside a two dimensional growth spatial region	2
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	2
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	2
Dynamics of a two-strain disease model with general incidence function and treatment	2
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	2
Author index (Volume 18)	2
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	2
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction–diffusion enzyme reaction model	2
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	2
Minimal wave speed for a predator–prey system with nonlocal dispersal	2
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	2
Stochastic analysis of cholera model with Lévy jumps	2
Diverse bifurcation structures and multi-stability in interacting species dynamics	2
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	2
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	2
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	2
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	2
Optimal harvesting policy for an age-structured predator–prey model with herd behavior	2
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	2
The strong waves for a non-local dispersal epidemic model with latent stage and multiple parallel infectious stages	2
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	2
Dynamic analysis of a latent HIV infection model with CTL immune and antibody responses	2
Investigating stochastic delays in dengue transmission patterns: A numerical analysis	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
A discrete tick population dynamics model with continuous and seasonal birth breeding	2
Stability and bifurcation analysis of a SIRI model with Crowley-Martin type incidence rate and Holling type II treatment rate	2
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	2
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	2
Prey-taxis and time delay induced instabilities in a prey–predator system incorporating the smith growth function	2
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	2
Optimizing integrated mosquito control with SIT and natural enemies	2
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	2
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	2
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	2
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	2
Author index (Volume 17)	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Global dynamics and optimal control of an influenza model with physiological age structure	2
The productivity of two serial chemostats	2
Dynamical analysis and optimal control for a delayed viral infection model	2
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	2
Impulsive control to a periodic plant-pest-natural enemy model in a patchy environment	2
Dynamic of the air pollution pathogenic model and optimization control	2
The role of host refuge and strong Allee effects in a host–parasitoid system	2
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	2
Mathematical modeling of breast cancer with four stages	1
Interpreting the COVID-19 infection geospatial data of Indian provinces for Alpha, Delta and Omicron variants using ARIMA and machine learning	1
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	1
A study on the transmission dynamics of syphilis considering the impact of latent syphilis infection	1
Global insights into a stochastic SIRS epidemic model with Beddington–DeAngelis incidence rate	1
Mathematical model and optimal control analysis of coffee berry borer with temperature and rainfall variability	1
The research on purification of brucellosis in dairy farm based on stochastic model	1
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	1
Transmission dynamics of a Brucellosis model with incubation period	1
Spatial dynamics of a reaction–diffusion SIS epidemic model with mass-action-type nonlinearity	1
Optimal control and cost-effectiveness of cystic echinococcosis dynamical model: A case study in Baiyin, Gansu Province	1
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	1
On the dynamics of a Zika disease model with vector-bias	1
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	1
Stability and bifurcations of a host–parasitoid model with general host escape function and general stocking upon parasitoids	1
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	1
An age-structured tuberculosis model with information and immigration: Stability and simulation study	1
Mathematical modelling of immune-mediated villi damage in celiac disease: Th1/Th2 dynamics under gluten exposure and withdrawal	1
Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch	1
Bifurcation analysis and pattern formation of an epidemic model with diffusion	1
Dynamics of epidemic models incorporating a hospitalization compartment with a nonlinear recovery rate	1
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	1
A reaction–diffusion model of major emerging infectious diseases in a spatially heterogeneous environment and case study	1
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	1
Assessing the role of active case detection on visceral leishmaniasis control: A case study	1
Dynamical Modeling and Optimal Control of Brucellosis with Mixed Delays and Environmental Transmission	1
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	1
The global stability and optimal control of the COVID-19 epidemic model	1
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	1
Asymptotic stability in a mosquito population suppression model with time delay	1
Analytical solutions, limiting sizes, and blow-up times of several well-known fractional nonlinear tumor growth models	1
Exploring epidemics using non-monotonic incidence function: Effects of sociological factors and hospital bed availability	1
Impact of water stress on plants production: A study case of banana-plantain	1
Dynamics of a vegetation management model with seasonal rainfall and groundwater diffusion	1
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
Intraspecific diffusion variation promotes emergence of spatial patterns	1
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	1
Oscillatory mechanism in menstrual cycle model regulated by negative feedback loops with two time delays	1
Discrete state-structured epidemic models with distributed delays	1
Impact of social media and word-of-mouth on the transmission dynamics of communicable and non-communicable diseases	1
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	1
Mathematical analysis of a model of Ebola disease with control measures	1
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	1
Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal	1