International Journal of Biomathematics

Papers
(The TQCC of International Journal of Biomathematics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Age-structure model for oncolytic virotherapy97
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice67
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate52
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative44
Optimal placement of marine protected areas for a predator–prey fish model39
Predation model with prey-dependent carrying capacity for predators31
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel30
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity28
Stability and bifurcation of a delayed Aron–May model for malaria transmission24
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study22
The behavior of a host–parasitoid model with host logistic growth and proportional refuge21
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method20
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion17
Stability and Bifurcation in a Discrete Phytoplankton-Zooplankton Model with Holling-Type Toxic Effects15
The effect of sudden fluctuations on a treated Hepatitis C model15
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives15
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting14
Optimal control application to the epidemiology of HBV and HCV co-infection14
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise14
Dynamical aspects of corona virus infection14
Global dynamics of a hybrid Cholera model with phage–bacteria interaction13
Stability analysis of a pine wood nematode prevention and control model with delay13
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration13
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model13
Pattern dynamics and bifurcation in delayed SIR network with diffusion network13
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach13
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence13
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images12
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis12
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte12
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response11
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model11
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability11
Dynamic analysis of a stochastic reaction–diffusion vegetation–water model in arid areas10
Dynamical behavior analysis of an eighth-order Sharma’s method10
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation10
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach10
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance10
Epidemic transmission modeling with fractional derivatives and environmental pathogens9
Dynamics of Squirrel Populations Competition Model with the Influence of Fear Effect and Squirrel-pox Virus9
How can we avoid the extinction of any species naturally? A mathematical model9
A rumor propagation model integrated with psychological factors9
Modeling of cancer growth considering the dynamics of mutation and controlling the cell proliferation of cancer in the presence of mutation using adaptive control8
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition8
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness8
On a diffusive bacteriophage dynamical model for bacterial infections8
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission8
Investigation of stability criteria and optimal control measures for a fractional-order model of human papillomavirus infection and cervical cancer8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network8
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations8
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field8
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh8
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect7
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process7
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics7
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect7
Numerical analysis of skin cancer model induced by ultraviolet radiation7
The analysis of deterministic and stochastic SIM model with general information intervention7
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression7
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations7
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model7
Dynamics of an Echinococcosis transmission model7
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects7
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread6
Bifurcation analysis of a diffusive radio-dependent model with spatial memory6
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment6
Propagation dynamics of diffusive disease models with infectious stages6
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise6
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences6
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain6
The dynamics of delayed models for interactive wild and sterile mosquito populations6
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models6
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior5
Influence of protection zone on a diffusive host-generalist parasitoid model5
Mathematical modeling of malaria with vaccination, treatment and vector control5
A multi-layer computational neural network approach for solving stochastic within-host Chikungunya model with an adaptive immune response5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis5
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys5
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments5
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma5
Utilizing and Investigating the Hybrid Fractional Operators to Analyze Lung Cancer Treatment and Precautions5
Author index (Volume 16)5
Global dynamical analysis of H5 subtype avian influenza model5
Dynamic analysis of a syphilis epidemic model with time delay and control measures5
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions5
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes5
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control5
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response5
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay4
Dynamics of a predator–prey model with mutation and nonlocal effect4
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments4
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique4
Global dynamics of a Leslie–Gower predator–prey model in open advective environments4
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay4
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination4
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay4
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions4
Impulse controls in optimal harvesting of age-structured populations4
Noise propagation and amplification in microbial communities with different resistance mechanisms4
Optimizing and Invigilation of Neurological Disorder Analysis with Signal Pattern Multiscale modeling via Fractional Operator4
Stability and metastability in a chemotaxis model4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor4
Dynamics and parameter identification of SIRDS models with aging population factor4
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies4
Hopf bifurcation and normal form in a delayed oncolytic model4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect4
A nonlinear optimal control method against the spreading of epidemics4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates4
Analysis of an avian influenza model with Allee effect and stochasticity3
Impact of fear on delayed three species food-web model with Holling type-II functional response3
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic3
Minimal wave speed for a predator–prey system with nonlocal dispersal3
The threshold and density function analysis of a stochastic SIVS model with saturation incidence3
Global dynamics of the Rosenzweig–MacArthur model with variable search rate3
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system3
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process3
Measles transmission dynamics and optimal control in Guangdong, China3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI3
Diverse bifurcation structures and multi-stability in interacting species dynamics3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect3
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province3
Transmission dynamics and optimal control of H7N9 in China3
A class of natural pinus koraiensis population system with time delay and diffusion term3
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts3
Tuberculosis transmission with multiple saturated exogenous reinfections3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment3
Author index (Volume 17)3
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection3
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis3
Pulsating traveling fronts of a discrete periodic system with a quiescent stage3
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission3
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative3
Vaccination effect on a stochastic epidemic model with healing and relapse3
0.19445490837097