International Journal of Biomathematics

Article	Citations
Bifurcations and chaos in the discrete-time Zeeman heartbeat model	67
Stability and bifurcation of a delayed Aron–May model for malaria transmission	57
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study	30
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	29
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	24
Optimal placement of marine protected areas for a predator–prey fish model	22
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	21
Pattern dynamics of vegetation and soil nutrients in eroded areas	20
Stability and bifurcation in a discrete Phytoplankton–Zooplankton model with holling-type toxic effects	19
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	18
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	17
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	17
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	16
Dynamics of a COVID-19 model with comorbidity: Fractional order approaches	16
Predation model with prey-dependent carrying capacity for predators	16
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	16
Bayesian estimation of parametric AFT models for high-dimensional survival data	15
The effect of sudden fluctuations on a treated Hepatitis C model	14
Stability analysis of a pine wood nematode prevention and control model with delay	14
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	12
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	12
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	11
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	11
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	11
Continuous and discontinuous stationary patterns and bifurcation of a predator–prey model with strong Allee effect	11

Regime shifts in a modified Holling–Tanner predator–prey model: The roles of prey refuge and environmental stochasticity	10
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	10
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	10
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	10
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	10
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	10
Modeling and analysis of seasonal transmission patterns of syphilis, HIV and gonorrhea	10
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	9
Dynamic analysis of a stochastic reaction–diffusion vegetation–water model in arid areas	9
Dynamical behavior analysis of an eighth-order Sharma’s method	9
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	9
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	9
Epidemic transmission modeling with fractional derivatives and environmental pathogens	8
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	8
A rumor propagation model integrated with psychological factors	8
Dynamics of squirrel populations competition model with the influence of fear effect and squirrel-pox virus	8
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	8
Bifurcation analysis for a general Gause-type cross-diffusion prey–predator model in spatially heterogeneous environment	8
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	8
Bifurcation analysis and optimal control of an infection age-structured epidemic model with vaccination and treatment	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
Multiple stability switches and Hopf bifurcation in an epidemic model with susceptible protection period	8
How can we avoid the extinction of any species naturally? A mathematical model	8
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	8
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	8
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
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	7
On a diffusive bacteriophage dynamical model for bacterial infections	7
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	7
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	7
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	6
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	6
Modeling the spatio–temporal wavefront of cholera epidemics using a fluid dynamics framework	6
Dynamics and optimal control of a two-strain epidemic model with imperfect vaccine efficacy and saturated incidence on complex networks	6
Periodic oscillations induced by stem cells and platelets in hematological diseases model	6
Modeling and analysis of Huanglongbing transmission: Spatial and non-spatial approaches with saturated treatment	6
Investigation of stability criteria and optimal control measures for a fractional-order model of human papillomavirus infection and cervical cancer	6
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	6
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	6
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	6
The analysis of deterministic and stochastic SIM model with general information intervention	6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	6
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	5
Propagation dynamics of diffusive disease models with infectious stages	5
Dynamics of an Echinococcosis transmission model	5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
Turing pattern analysis of a delayed reaction–diffusion eco-epidemiological disease model with fatal disease in the prey	5
The dynamics of delayed models for interactive wild and sterile mosquito populations	5
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	5

Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	5
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread	5
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Effects of efficient water resource management on vegetation distribution and pattern structures	5
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	5
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	5
Numerical analysis of skin cancer model induced by ultraviolet radiation	5
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise	5
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5
Utilizing and investigating the hybrid fractional operators to analyze lung cancer treatment and precautions	5
Author index (Volume 16)	4
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	4
Evolution of vector-borne viral infections: A case study of dengue virus	4
Influence of protection zone on a diffusive host-generalist parasitoid model	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
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	4
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	4
Optimization modeling for identification of parameters and initial condition; application to SIRU-type epidemic models	4
Fear suppressing chaos in intraguild predation systems	4
Analytical solution of heat transfer properties within dental tissue induced by repeated pulsed laser irradiation	4
Theoretical analysis of an immune response model	4
Dynamics of Bilateral State Feedback Control Model for Artificial Grassland Cultivation in Toxin Environment	4
Dynamic analysis of a syphilis epidemic model with time delay and control measures	4
Dynamical Model of HIV infection with homeostatic growth of CD4+ T cells and immune response	4
The analysis of prey–predator interactions in deterministic and stochastic environments with parameter sensitivity	4
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	4
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	4
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies	3
Global asymptotic stability of a neutral Mackey–Glass model with time-varying delays	3
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	3
Mathematical modeling of malaria with vaccination, treatment and vector control	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	3
Secretary bird earth radius optimization algorithm–Shepard pyramid forward harmonic net for prostate cancer detection in federated learning	3
A multi-layer computational neural network approach for solving stochastic within-host Chikungunya model with an adaptive immune response	3
Stability and metastability in a chemotaxis model	3
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	3
Hydra effect and dynamics of predation with double Allee effect in prey and intraspecific competition in predator	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Dynamics of a host-parasite model with impulsive culling and density-dependent stocking during fish reproductive cycles	3
Measles transmission dynamics and optimal control in Guangdong, China	3
Impulse controls in optimal harvesting of age-structured populations	3
Dynamics and parameter identification of SIRDS models with aging population factor	3
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	3
Noise propagation and amplification in microbial communities with different resistance mechanisms	3
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	3
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	3
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	3
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	3
Spatiotemporal patterns and control of a fractional-order SIRS reaction–diffusion process over complex networks	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
Dynamics of a predator–prey model with mutation and nonlocal effect	3
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	3
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	3
Brain tumor detection using GPT-NeoX-20B large language model-driven scaling wide residual neuron attention stage-by-stage net	3
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	3
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	3
Propagation dynamics of a time-periodic reaction–diffusion SIR epidemic model with vaccination	3
The probabilistic response of dual-layer stochastic complex propagation networks	3
Dynamic behavior of a stochastic SAIR model with saturated treatment and logarithmic Ornstein–Uhlenbeck process	3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	3
Tuberculosis transmission with multiple saturated exogenous reinfections	3
Author index (Volume 17)	2
Minimal wave speed for a predator–prey system with nonlocal dispersal	2
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	2
Advancing artificial pancreas with optimal PID-fuzzy logic insulin infusion for type I diabetes	2
Author index (Volume 18)	2
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	2
The strong waves for a non-local dispersal epidemic model with latent stage and multiple parallel infectious stages	2
Impulsive control to a periodic plant-pest-natural enemy model in a patchy environment	2
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
Diverse bifurcation structures and multi-stability in interacting species dynamics	2
The productivity of two serial chemostats	2
Discrete time dynamics in a two-strain symbiotic contact process	2
Global dynamics and optimal control of an influenza model with physiological age structure	2

Delay optimal blood glucose control based on reinforcement learning	2
Dynamics of a switched pest management model with seasonally migrating, predation-induced fear and unilaterally interspecific cooperative hunting	2
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	2
Turing–Hopf bifurcation analysis and normal form derivation in a diffusive Predator–Prey model with time delay and indirect prey-taxis	2
Assessment of brucellosis control strategies on metapopulation network: Inner Mongolia Autonomous Region as cases	2
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction–diffusion enzyme reaction model	2
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts	2
Dynamics of a two-strain disease model with general incidence function and treatment	2
A class of natural pinus koraiensis population system with time delay and diffusion term	2
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	2
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	2
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	2
How does the enhanced mortality of Wolbachia-infected immature mosquitoes affect dengue transmission?	2
Optimal harvesting policy for an age-structured predator–prey model with herd behavior	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
Optimizing integrated mosquito control with SIT and natural enemies	2
A reaction–diffusion epidemic model with free boundary incorporating an anti-disease mechanism	2
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	2
A mathematical framework for integrating epidemic dynamics and intervention strategies to mitigate hearing loss from lassa virus	2
Fear effect and anti-predator behavior in a stage-structured predator–prey system: A bifurcation and stability perspective	2
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	2
Dynamic of the air pollution pathogenic model and optimization control	2
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process	2
Vaccination effect on a stochastic epidemic model with healing and relapse	2
Dynamical analysis and optimal control for a delayed viral infection model	2
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	2
Stochastic analysis of cholera model with Lévy jumps	2
Mathematical modeling of multiple myeloma with immune evasion mechanisms	2
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	2
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	2
Stability and bifurcation analysis of a SIRI model with Crowley–Martin-type incidence rate and Holling-type II treatment rate	2
Consumer-resource spatiotemporal dynamics with Ivlev-type functional response in open advective environments	2
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	2
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	2
Modeling and dynamics of Brucella infection with macrophage apoptosis inhibition and immune recovery	2