OOIR: Observatory of International Research

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 2021-09-01 to 2025-09-01.)

Article	Citations
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	98
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	67
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	54
Age-structure model for oncolytic virotherapy	44
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	39
A wavelet time-frequency analysis of pandemic dynamics and impacts — COVID-19 case study	31
Stability and bifurcation of a delayed Aron–May model for malaria transmission	28
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	24
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	22
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	21
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	20
Predation model with prey-dependent carrying capacity for predators	19
Bifurcations and chaos in the discrete-time Zeeman heartbeat model	16
Optimal placement of marine protected areas for a predator–prey fish model	15
Dynamics of a COVID-19 model with comorbidity: fractional order approaches	15
Stability analysis of a pine wood nematode prevention and control model with delay	14
Bayesian Estimation of Parametric AFT Models for High-Dimensional Survival Data	14
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	14
Stability and bifurcation in a discrete Phytoplankton–Zooplankton model with holling-type toxic effects	14
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	13
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	13
The effect of sudden fluctuations on a treated Hepatitis C model	13
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	13
Dynamical aspects of corona virus infection	13
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	13

Optimal control application to the epidemiology of HBV and HCV co-infection	13
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	13
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	12
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	12
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	12
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	12
How can we avoid the extinction of any species naturally? A mathematical model	11
Epidemic transmission modeling with fractional derivatives and environmental pathogens	10
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	10
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	10
Dynamic analysis of a stochastic reaction–diffusion vegetation–water model in arid areas	10
Residual ShuffleNet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	9
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	9
A rumor propagation model integrated with psychological factors	9
Analysis of mathematical models describing the immune response of Mycobacterium tuberculosis	9
Dynamical behavior analysis of an eighth-order Sharma’s method	9
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	9
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
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
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	8
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	8
Bifurcation analysis and optimal control of an infection age-structured epidemic model with vaccination and treatment	8
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	8
On a diffusive bacteriophage dynamical model for bacterial infections	7
Investigation of stability criteria and optimal control measures for a fractional-order model of human papillomavirus infection and cervical cancer	7
Dynamics of an Echinococcosis transmission model	7
Numerical analysis of skin cancer model induced by ultraviolet radiation	7
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	7
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	7
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	7
The analysis of deterministic and stochastic SIM model with general information intervention	7
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	7
Dynamics of squirrel populations competition model with the influence of fear effect and squirrel-pox virus	7
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	7
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	7
Propagation dynamics of diffusive disease models with infectious stages	6
Effects of efficient water resource management on vegetation distribution and pattern structures	6
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	6
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	6
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	6
Modeling disease spread in two patches: Impact of asymptomatic mobility and environmental noise	6
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	6
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	6
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	6
Managing virus propagation: A spatiotemporal inverse problem approach for controlling COVID-19 spread	6
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5

Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
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
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	5
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	5
Probing the rate of Ca2+-dependent neuroblastoma growth and drugs’ response using dynamic mathematical models	5
Influence of protection zone on a diffusive host-generalist parasitoid model	5
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	5
Author index (Volume 16)	5
The dynamics of delayed models for interactive wild and sterile mosquito populations	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Global dynamical analysis of H5 subtype avian influenza model	5
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	5
Utilizing and investigating the hybrid fractional operators to analyze lung cancer treatment and precautions	5
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	5
Dynamic analysis of a syphilis epidemic model with time delay and control measures	5
Dynamics and parameter identification of SIRDS models with aging population factor	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Analytical Solution of Heat Transfer Properties within Dental Tissue Induced by Repeated Pulsed Laser Irradiation	4
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	4
Modeling and evaluation of a stochastic multiscale glioma model: Integrating pharmacotherapy and psychological interventions	4
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	4
Theoretical analysis of an immune response model	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Investigating the DNA Peyrard–Bishop model by beta derivatives using new analytical technique	4
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	4
Dynamics of Bilateral State Feedback Control Model for Artificial Grassland Cultivation in Toxin Environment	4
Dynamical Model of HIV infection with homeostatic growth of CD4+ T cells and immune response	4
Stability and metastability in a chemotaxis model	4
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	4
A multi-layer computational neural network approach for solving stochastic within-host Chikungunya model with an adaptive immune response	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
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
Optimizing and invigilation of neurological disorder analysis with signal pattern multiscale modeling via fractional operator	4
Evolution of vector-borne viral infections: A case study of dengue virus	4
A nonlinear optimal control method against the spreading of epidemics	4
Mathematical modeling of malaria with vaccination, treatment and vector control	4
Optimization modeling for identification of parameters and initial condition; application to SIRU-type epidemic models	4
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
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	3
Author index (Volume 17)	3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
Dynamics of a predator–prey model with mutation and nonlocal effect	3
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	3
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	3
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	3
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	3
Transmission dynamics and optimal control of H7N9 in China	3
Modeling the co-dynamics of HIV, TB and COVID-19 using fractional order: Impact of control strategies	3
A class of natural pinus koraiensis population system with time delay and diffusion term	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
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	3
Impulse controls in optimal harvesting of age-structured populations	3
Tuberculosis transmission with multiple saturated exogenous reinfections	3
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	3
Diverse bifurcation structures and multi-stability in interacting species dynamics	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	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
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Measles transmission dynamics and optimal control in Guangdong, China	3