International Journal of Biomathematics

Article	Citations
Age-structure model for oncolytic virotherapy	97
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	67
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	52
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	44
Optimal placement of marine protected areas for a predator–prey fish model	39
Predation model with prey-dependent carrying capacity for predators	31
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	30
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	28
Stability and bifurcation of a delayed Aron–May model for malaria transmission	24
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study	22
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	21
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	20
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	17
The effect of sudden fluctuations on a treated Hepatitis C model	15
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	15
Stability and Bifurcation in a Discrete Phytoplankton-Zooplankton Model with Holling-Type Toxic Effects	15
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	14
Dynamical aspects of corona virus infection	14
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	14
Optimal control application to the epidemiology of HBV and HCV co-infection	14
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	13
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	13
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	13
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	13
Stability analysis of a pine wood nematode prevention and control model with delay	13

Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	13
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	13
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	12
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	12
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	12
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	11
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	11
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	11
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	10
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	10
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	10
Dynamic analysis of a stochastic reaction–diffusion vegetation–water model in arid areas	10
Dynamical behavior analysis of an eighth-order Sharma’s method	10
Dynamics of Squirrel Populations Competition Model with the Influence of Fear Effect and Squirrel-pox Virus	9
How can we avoid the extinction of any species naturally? A mathematical model	9
A rumor propagation model integrated with psychological factors	9
Epidemic transmission modeling with fractional derivatives and environmental pathogens	9
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	8
Investigation of stability criteria and optimal control measures for a fractional-order model of human papillomavirus infection and cervical cancer	8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	8
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	8
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	8
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	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
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	8
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	8
On a diffusive bacteriophage dynamical model for bacterial infections	8
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	7
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	7
Dynamics of an Echinococcosis transmission model	7
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	7
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	7
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	7
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	7
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	7
Numerical analysis of skin cancer model induced by ultraviolet radiation	7
The analysis of deterministic and stochastic SIM model with general information intervention	7
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	7
Propagation dynamics of diffusive disease models with infectious stages	6
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise	6
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	6
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	6
The dynamics of delayed models for interactive wild and sterile mosquito populations	6
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models	6
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread	6
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	6
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	6
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	5
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	5

Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	5
Utilizing and Investigating the Hybrid Fractional Operators to Analyze Lung Cancer Treatment and Precautions	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
Author index (Volume 16)	5
Global dynamical analysis of H5 subtype avian influenza model	5
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	5
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	5
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	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
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
Influence of protection zone on a diffusive host-generalist parasitoid model	5
Mathematical modeling of malaria with vaccination, treatment and vector control	5
A multi-layer computational neural network approach for solving stochastic within-host Chikungunya model with an adaptive immune response	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	5
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	4
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	4
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	4
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	4
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	4
Impulse controls in optimal harvesting of age-structured populations	4
Noise propagation and amplification in microbial communities with different resistance mechanisms	4
Optimizing and Invigilation of Neurological Disorder Analysis with Signal Pattern Multiscale modeling via Fractional Operator	4
Stability and metastability in a chemotaxis model	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Dynamics and parameter identification of SIRDS models with aging population factor	4
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies	4
Hopf bifurcation and normal form in a delayed oncolytic model	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
A nonlinear optimal control method against the spreading of epidemics	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	4
Dynamics of a predator–prey model with mutation and nonlocal effect	4
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	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
Measles transmission dynamics and optimal control in Guangdong, China	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	3
Diverse bifurcation structures and multi-stability in interacting species dynamics	3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	3
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	3
Transmission dynamics and optimal control of H7N9 in China	3
A class of natural pinus koraiensis population system with time delay and diffusion term	3
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts	3
Tuberculosis transmission with multiple saturated exogenous reinfections	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	3
Author index (Volume 17)	3
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	3
Normal form of Turing–Turing bifurcation for the diffusive Bazykin system with prey-taxis	3
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	3
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	3
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	3
Vaccination effect on a stochastic epidemic model with healing and relapse	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Impact of fear on delayed three species food-web model with Holling type-II functional response	3
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	3
Minimal wave speed for a predator–prey system with nonlocal dispersal	3
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	3
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	3
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	2
How Does the Enhanced Mortality of Wolbachia-Infected Immature Mosquitoes Affect Dengue Transmission?	2
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	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
Dynamical analysis and optimal control for a delayed viral infection model	2
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	2
Dynamics of a two-strain disease model with general incidence function and treatment	2
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	2
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	2
Periodic solutions for an “SVIQR” epidemic model in a seasonal environment with general incidence rate	2
Regularity and stability of neural impulse propagation in Alzheimer’s using an adapted Fitzhugh–Nagumo model	2

Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	2
Stochastic analysis of cholera model with Lévy jumps	2
Entropy Framework Analysis of Magnetized Hybrid Nano-Blood Flow Modulated by Cilia Beating in a Curved Endoscopic Arterial Annulus	2
Dynamic analysis of a latent HIV infection model with CTL immune and antibody responses	2
Different kinds of generalized rough sets based on neighborhoods with a medical application	2
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	2
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	2
Dynamics of additional food provided predator–prey system with habitat fragmentation	2
Mathematical modeling of the impact of temperature variations and immigration on malaria prevalence in Nigeria	2
A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis	2
Optimal harvesting policy for an age-structured predator–prey model with herd behavior	2
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	2
Fear and delay effects on a food chain system with two kinds of different functional responses	2
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	2
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	2
Dynamics analysis in a delayed glucose-insulin model incorporating obesity	2
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	2
Global stability of an age-structured model of smoking and its treatment	2
Global dynamics and optimal control of an influenza model with physiological age structure	2
Analysis of the dynamical properties for the cancer cells density inside a two dimensional growth spatial region	2
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	2
Investigating stochastic delays in dengue transmission patterns: A numerical analysis	2
Dynamics of fecal–oral periodic propagation model in heterogeneous environments	2
The influence of saturated fear effects on species dynamics: A Lotka–Volterra competition model analysis	2
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	2
Discrete time dynamics in a two-strain symbiotic contact process	2
The strong waves for a non-local dispersal epidemic model with latent stage and multiple parallel infectious stages	2
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	2
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	2
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	2
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	2
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	2
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	2
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	2
Dynamic of the air pollution pathogenic model and optimization control	2
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	2
The productivity of two serial chemostats	2
Prey-taxis and time delay induced instabilities in a prey–predator system incorporating the smith growth function	1
Bistability and bifurcations for a food chain model with nonlinear harvesting of top predator	1
Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays	1
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	1
Global dynamics of a time-fractional spatio-temporal SEIR model with a general incidence rate	1
Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay	1
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	1
Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch	1
A study on the transmission dynamics of syphilis considering the impact of latent syphilis infection	1
Multi-objective optimal control of tungiasis diseases with terminal demands	1
Stability and Hopf bifurcation of a cytokine-enhanced HIV infection model with antibody immune response delay	1
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	1
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	1
Impact of social media and word-of-mouth on the transmission dynamics of communicable and non-communicable diseases	1
Interpreting the COVID-19 infection geospatial data of Indian provinces for Alpha, Delta and Omicron variants using ARIMA and machine learning	1
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	1
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	1
Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal	1
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	1
The global stability and optimal control of the COVID-19 epidemic model	1
The sign of bistable wave speed for a plankton model	1
Quantum entangled connectivity and functional connectivity of human brain	1
Stability and Hopf bifurcation analysis of an HIV infection model with latent reservoir, immune impairment and delayed CTL immune response	1
Assessing the role of active case detection on visceral leishmaniasis control: A case study	1
A mathematical study of the interaction between oxygen and lactate in an in vivo and in vitro tumor	1
Transmission dynamics of a Brucellosis model with incubation period	1
The long-time behaviors of non-autonomous stochastic Nicholson’s blowflies systems with patch structure and time delays	1
Dynamical analysis and chaos control of a fractional-order Leslie-type predator–prey model with Caputo derivative	1
Mathematical model and optimal control analysis of coffee berry borer with temperature and rainfall variability	1
Dynamic analysis of a stochastic SVEIR epidemic model with saturated incidence and partial vaccination	1
Impact of water stress on plants production: A study case of banana-plantain	1
The research on purification of brucellosis in dairy farm based on stochastic model	1
Stability and bifurcations of a host–parasitoid model with general host escape function and general stocking upon parasitoids	1
Dynamics of a vegetation management model with seasonal rainfall and groundwater diffusion	1
A reaction–diffusion model of major emerging infectious diseases in a spatially heterogeneous environment and case study	1
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	1
Discrete state-structured epidemic models with distributed delays	1
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	1
The role of host refuge and strong Allee effects in a host–parasitoid system	1
Dynamic analysis of HCV infection and drug resistance using an age-structured multiscale model	1
Time-varying sensitivity analysis of an influenza model with interventions	1
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	1
Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain	1
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	1
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	1
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	1
Dynamics of epidemic models incorporating a hospitalization compartment with a nonlinear recovery rate	1
An analytical approach for the fractional-order Hepatitis B model using new operator	1
An age-structured tuberculosis model with information and immigration: Stability and simulation study	1
Bifurcation analysis in a modified Leslie-type predator–prey system with Holling-type III functional response and special Allee effect induced by fear factors	1
Oscillatory mechanism in menstrual cycle model regulated by negative feedback loops with two time delays	1
Modeling the effect of time delay in implementation of mitigation policies on the control of atmospheric greenhouse gases	1
Spatial dynamics of a reaction–diffusion SIS epidemic model with mass-action-type nonlinearity	1
Bifurcation analysis and pattern formation of an epidemic model with diffusion	1
On the spread of ultrafine particulate matter: A mathematical model for motor vehicle emissions and their effects as an asthma trigger	1
Intraspecific diffusion variation promotes emergence of spatial patterns	1
Global insights into a stochastic SIRS epidemic model with Beddington–DeAngelis incidence rate	1
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	1