International Journal of Biomathematics

Article	Citations
Predation model with prey-dependent carrying capacity for predators	64
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	56
Optimal placement of marine protected areas for a predator–prey fish model	42
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	25
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	25
Dynamics of a COVID-19 model with comorbidity: Fractional order approaches	21
Bifurcations and chaos in the discrete-time Zeeman heartbeat model	21
Stability and bifurcation of a delayed Aron–May model for malaria transmission	18
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	17
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study	17
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	17
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	16
Stability and bifurcation in a discrete Phytoplankton–Zooplankton model with holling-type toxic effects	15
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	15
Pattern dynamics of vegetation and soil nutrients in eroded areas	15
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	15
Bayesian estimation of parametric AFT models for high-dimensional survival data	15
Stability analysis of a pine wood nematode prevention and control model with delay	14
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	14
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	14
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	14
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	14
The effect of sudden fluctuations on a treated Hepatitis C model	13
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	12
Continuous and discontinuous stationary patterns and bifurcation of a predator–prey model with strong Allee effect	11

New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	11
Regime shifts in a modified Holling–Tanner predator–prey model: The roles of prey refuge and environmental stochasticity	10
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	10
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	10
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	9
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
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	9
Epidemic transmission modeling with fractional derivatives and environmental pathogens	9
A rumor propagation model integrated with psychological factors	8
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	8
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	8
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	8
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	8
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	8
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	8
Multiple stability switches and Hopf bifurcation in an epidemic model with susceptible protection period	8
Dynamical behavior analysis of an eighth-order Sharma’s method	8
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	8
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	8
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	7
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	7
Dynamics of squirrel populations competition model with the influence of fear effect and squirrel-pox virus	7
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	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
Bifurcation analysis and optimal control of an infection age-structured epidemic model with vaccination and treatment	7
Modeling of cancer growth considering the dynamics of mutation and controlling the cell proliferation of cancer in the presence of mutation using adaptive control	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
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	7
On a diffusive bacteriophage dynamical model for bacterial infections	7
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	7
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	7
The analysis of deterministic and stochastic SIM model with general information intervention	6
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	6
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise	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
Dynamics of an Echinococcosis transmission model	6
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	6
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread	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
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	6
Propagation dynamics of diffusive disease models with infectious stages	6
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	6
Author index (Volume 16)	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5

Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	5
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Utilizing and investigating the hybrid fractional operators to analyze lung cancer treatment and precautions	5
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	5
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Effects of efficient water resource management on vegetation distribution and pattern structures	5
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	5
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	5
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models	5
The dynamics of delayed models for interactive wild and sterile mosquito populations	5
Dynamic analysis of a syphilis epidemic model with time delay and control measures	5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
The analysis of prey–predator interactions in deterministic and stochastic environments with parameter sensitivity	5
Periodic oscillations induced by stem cells and platelets in hematological diseases model	5
Global dynamical analysis of H5 subtype avian influenza model	5
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Noise propagation and amplification in microbial communities with different resistance mechanisms	4
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	4
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	4
Analytical solution of heat transfer properties within dental tissue induced by repeated pulsed laser irradiation	4
Optimization modeling for identification of parameters and initial condition; application to SIRU-type epidemic models	4
Dynamical Model of HIV infection with homeostatic growth of CD4+ T cells and immune response	4
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	4
Mathematical modeling of malaria with vaccination, treatment and vector control	4
Dynamics and parameter identification of SIRDS models with aging population factor	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
A multi-layer computational neural network approach for solving stochastic within-host Chikungunya model with an adaptive immune response	4
Fear suppressing chaos in intraguild predation systems	4
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	4
Optimizing and invigilation of neurological disorder analysis with signal pattern multiscale modeling via fractional operator	4
A nonlinear optimal control method against the spreading of epidemics	4
Turing pattern analysis of a delayed reaction-diffusion eco-epidemiological disease model with fatal disease in the prey	4
Dynamics of Bilateral State Feedback Control Model for Artificial Grassland Cultivation in Toxin Environment	4
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	4
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	4
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	4
Influence of protection zone on a diffusive host-generalist parasitoid model	4
Evolution of vector-borne viral infections: A case study of dengue virus	4
Theoretical analysis of an immune response model	4
Stability and metastability in a chemotaxis model	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Dynamics of a predator–prey model with mutation and nonlocal effect	3
Advancing artificial pancreas with optimal PID-fuzzy logic insulin infusion for type I diabetes	3
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	3
Dynamics of a host-parasite model with impulsive culling and density-dependent stocking during fish reproductive cycles	3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	3
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
Measles transmission dynamics and optimal control in Guangdong, 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
A class of natural pinus koraiensis population system with time delay and diffusion term	3
Tuberculosis transmission with multiple saturated exogenous reinfections	3
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	3
Global asymptotic stability of a neutral Mackey–Glass model with time-varying delays	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Impulse controls in optimal harvesting of age-structured populations	3
Brain tumor detection using GPT-NeoX-20B large language model-driven scaling wide residual neuron attention stage-by-stage net	3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	3
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	3
Vaccination effect on a stochastic epidemic model with healing and relapse	3
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	3
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	2
Analysis of the dynamical properties for the cancer cells density inside a two dimensional growth spatial region	2
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	2
Dynamic of the air pollution pathogenic model and optimization control	2
How Does the Enhanced Mortality of Wolbachia-Infected Immature Mosquitoes Affect Dengue Transmission?	2
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	2
Dynamics of a two-strain disease model with general incidence function and treatment	2
A discrete tick population dynamics model with continuous and seasonal birth breeding	2
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction–diffusion enzyme reaction model	2
Modeling and dynamics of Brucella infection with macrophage apoptosis inhibition and immune recovery	2
Discrete time dynamics in a two-strain symbiotic contact process	2

The productivity of two serial chemostats	2
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	2
Author index (Volume 18)	2
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	2
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	2
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	2
Entropy Framework Analysis of Magnetized Hybrid Nano-Blood Flow Modulated by Cilia Beating in a Curved Endoscopic Arterial Annulus	2
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	2
Dynamics of a switched pest management model with seasonally migrating, predation-induced fear and unilaterally interspecific cooperative hunting	2
Investigating stochastic delays in dengue transmission patterns: A numerical analysis	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Optimal harvesting policy for an age-structured predator–prey model with herd behavior	2
Global dynamics and optimal control of an influenza model with physiological age structure	2
The strong waves for a non-local dispersal epidemic model with latent stage and multiple parallel infectious stages	2
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	2
Stability and bifurcation analysis of a SIRI model with Crowley–Martin-type incidence rate and Holling-type II treatment rate	2
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	2
Author index (Volume 17)	2
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	2
Mathematical modeling of multiple myeloma with immune evasion mechanisms	2
Optimizing integrated mosquito control with SIT and natural enemies	2
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	2
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	2
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	2
The influence of saturated fear effects on species dynamics: A Lotka–Volterra competition model analysis	2
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	2
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	2
A reaction-diffusion epidemic model with free boundary incorporating an anti-disease mechanism	2
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	2
Minimal wave speed for a predator–prey system with nonlocal dispersal	2
Stochastic analysis of cholera model with Lévy jumps	2
A Mathematical Framework for Integrating Epidemic Dynamics and Intervention Strategies to Mitigate Hearing Loss from Lassa Virus	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
Dynamical analysis and optimal control for a delayed viral infection model	2
Dynamic analysis of a latent HIV infection model with CTL immune and antibody responses	2
Consumer-resource spatiotemporal dynamics with Ivlev-type functional response in open advective environments	2
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	2
Diverse bifurcation structures and multi-stability in interacting species dynamics	2
Impulsive control to a periodic plant-pest-natural enemy model in a patchy environment	2
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	2
Spreading speed of a reaction–diffusion two-strain SIR epidemic model	2
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	2
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	1
Assessing the role of active case detection on visceral leishmaniasis control: A case study	1
Bifurcation analysis and pattern formation of an epidemic model with diffusion	1
An age-structured tuberculosis model with information and immigration: Stability and simulation study	1
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	1
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	1
Optimal control and cost-effectiveness of cystic echinococcosis dynamical model: A case study in Baiyin, Gansu Province	1
The research on purification of brucellosis in dairy farm based on stochastic model	1
Modeling the effect of multiple interventions to balance healthcare demand for controlling infectious disease outbreaks	1
Mathematical modeling of breast cancer with four stages	1
Modeling the effect of time delay in implementation of mitigation policies on the control of atmospheric greenhouse gases	1
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	1
Interpreting the COVID-19 infection geospatial data of Indian provinces for Alpha, Delta and Omicron variants using ARIMA and machine learning	1
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	1
Analytical solutions, limiting sizes, and blow-up times of several well-known fractional nonlinear tumor growth models	1
Mathematical model and optimal control analysis of coffee berry borer with temperature and rainfall variability	1
A study on the transmission dynamics of syphilis considering the impact of latent syphilis infection	1
Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal	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 generalized bloodborne hepatitis model with control measures in SACTR community	1
Robustness for stabilization of impulsive boolean control networks with stochastic function perturbations	1
Propagation dynamics of a reaction–diffusion two-group SIR epidemic model with constant recruitment	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
Oscillatory mechanism in menstrual cycle model regulated by negative feedback loops with two time delays	1
Spatial dynamics of a nonlocal predator–prey model with double mutation	1
Dynamics modeling and synergistic mechanisms of oncolytic virus-bortezomib combination therapy	1
Asymptotic stability in a mosquito population suppression model with time delay	1
Discrete state-structured epidemic models with distributed delays	1
Mathematical modelling of immune-mediated villi damage in celiac disease: Th1/Th2 dynamics under gluten exposure and withdrawal	1
Fractional view analysis of the transmission dynamics of norovirus with contaminated food and water	1
Global insights into a stochastic SIRS epidemic model with Beddington–DeAngelis incidence rate	1
Modeling the mpox transmission among population incorporating low- and high-risk infection	1
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	1
Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch	1
Stability and bifurcations of a host–parasitoid model with general host escape function and general stocking upon parasitoids	1
Intraspecific diffusion variation promotes emergence of spatial patterns	1
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	1
A reaction–diffusion model of major emerging infectious diseases in a spatially heterogeneous environment and case study	1
Dynamical modeling and optimal control of brucellosis with mixed delays and environmental transmission	1
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	1
Impact of social media and word-of-mouth on the transmission dynamics of communicable and non-communicable diseases	1
Spatial dynamics of a reaction–diffusion SIS epidemic model with mass-action-type nonlinearity	1
Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy	1
Stability of periodic solution for a novel delayed nonautonomous reaction-diffusion food chain systems with ratio-dependent	1
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	1
Global dynamics of a singularly perturbed predator–prey system with Allee effect and small predator’s death rate	1
Transmission dynamics of a Brucellosis model with incubation period	1
Unified framework for combined practical and Hyers–Ulam stability of impulsive gene regulatory networks	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