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

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
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
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
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
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
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
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
Utilizing and investigating the hybrid fractional operators to analyze lung cancer treatment and precautions	5
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
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
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
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
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
Dynamical analysis and optimal control for a delayed viral infection model	2
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	2
Stochastic analysis of cholera model with Lévy jumps	2
Optimal harvesting policy for an age-structured predator–prey model with herd behavior	2
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	2
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	2
Stability and bifurcation analysis of a SIRI model with Crowley–Martin-type incidence rate and Holling-type II treatment rate	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
Modeling and dynamics of Brucella infection with macrophage apoptosis inhibition and immune recovery	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
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	2
Mathematical modeling of multiple myeloma with immune evasion mechanisms	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	2
The productivity of two serial chemostats	2
Consumer-resource spatiotemporal dynamics with Ivlev-type functional response in open advective environments	2
Global dynamics and optimal control of an influenza model with physiological age structure	2
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	2
Dynamics of a switched pest management model with seasonally migrating, predation-induced fear and unilaterally interspecific cooperative hunting	2
Author index (Volume 17)	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
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	2
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	2
Diverse bifurcation structures and multi-stability in interacting species dynamics	2
How does the enhanced mortality of Wolbachia-infected immature mosquitoes affect dengue transmission?	2
Discrete time dynamics in a two-strain symbiotic contact process	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Delay optimal blood glucose control based on reinforcement learning	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	2
A reaction–diffusion epidemic model with free boundary incorporating an anti-disease mechanism	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
Stability and bifurcations of a host–parasitoid model with general host escape function and general stocking upon parasitoids	1
Global dynamics of a time-delayed dengue model with waning vaccine efficacy and standard incidence rate	1
Dynamics of a vegetation management model with seasonal rainfall and groundwater diffusion	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	1
Intraspecific diffusion variation promotes emergence of spatial patterns	1
Dynamics analysis in a delayed glucose-insulin model incorporating obesity	1
Near-optimality of a stochastic delay model for spruce budworm population with chemical control	1
Global analysis of a network-based SIR epidemic model with a saturated treatment function	1
An analytical approach for the fractional-order Hepatitis B model using new operator	1
Dynamics and bifurcation analysis of a discrete-time prey–predator model with ratio-dependent Holling type III response and strong Allee effect	1
Chaotic dynamics and strong stability of conformable von Foerster partial differential equation in Lebesgue space	1
Impact of water stress on plants production: A study case of banana-plantain	1
Propagation dynamics of a reaction–diffusion two-group SIR epidemic model with constant recruitment	1
Global insights into a stochastic SIRS epidemic model with Beddington–DeAngelis incidence rate	1
Exploring epidemics using non-monotonic incidence function: Effects of sociological factors and hospital bed availability	1
Dynamics of epidemic models incorporating a hospitalization compartment with a nonlinear recovery rate	1
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	1
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	1
Fractional view analysis of the transmission dynamics of norovirus with contaminated food and water	1
A reaction–diffusion model of major emerging infectious diseases in a spatially heterogeneous environment and case study	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
Entropy Framework Analysis of Magnetized Hybrid Nano-Blood Flow Modulated by Cilia Beating in a Curved Endoscopic Arterial Annulus	1
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	1
Mathematical modeling of breast cancer with four stages	1
Regularity and stability of neural impulse propagation in Alzheimer’s using an adapted Fitzhugh–Nagumo model	1
A new COVID-19 variant Kraken: The modeling and analysis of the XBB.1.5 with treatment and immunization control factors	1
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	1
Optimal control and bifurcation analysis of a delayed fractional-order epidemic model for the COVID-19 pandemic	1
Asymptotic stability in a mosquito population suppression model with time delay	1
Modeling and analyzing COVID-19 infections in South Africa	1
Assessing the role of active case detection on visceral leishmaniasis control: A case study	1
Dynamics of a delayed reaction–diffusion predator–prey model with nonlocal competition and double Allee effect in prey	1
Oscillatory mechanism in menstrual cycle model regulated by negative feedback loops with two time delays	1
Unified framework for combined practical and Hyers–Ulam stability of impulsive gene regulatory networks	1
Predator dynamics in a fluctuating environment: The role of Allee effects in a Bazykin-type model	1
Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy	1
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	1
A generalized bloodborne hepatitis model with control measures in SACTR community	1
Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal	1
Interpreting the COVID-19 infection geospatial data of Indian provinces for Alpha, Delta and Omicron variants using ARIMA and machine learning	1
Spreading speed of a reaction–diffusion two-strain SIR epidemic model	1
Global dynamics of a singularly perturbed predator–prey system with Allee effect and small predator’s death rate	1
Interferon and oncolytic virus synergistically regulate the proliferation of tumor cells in oncolytic virotherapy	1
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	1
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	1
Analytical bifurcation and strong resonances of a discrete Bazykin–Berezovskaya predator–prey model with Allee effect	1
Stability of monostable waves for a class of epidemic system with asymmetry and nonlocal effects	1
Optimal control problem on cancer–obesity dynamics	1
Mathematical model and optimal control analysis of coffee berry borer with temperature and rainfall variability	1
Modeling the effect of time delay in implementation of mitigation policies on the control of atmospheric greenhouse gases	1
Mathematical modelling of immune-mediated villi damage in celiac disease: Th1/Th2 dynamics under gluten exposure and withdrawal	1
Modeling the effect of multiple interventions to balance healthcare demand for controlling infectious disease outbreaks	1
Global asymptotic stability of a diffusive Nicholson’s blowflies model involving distinct discrete delays	1
Modeling the mpox transmission among population incorporating low- and high-risk infection	1
An age-structured tuberculosis model with information and immigration: Stability and simulation study	1
Analytical solutions, limiting sizes, and blow-up times of several well-known fractional nonlinear tumor growth models	1