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 2021-06-01 to 2025-06-01.)

Article	Citations
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	97
Optimal placement of marine protected areas for a predator–prey fish model	65
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	48
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	44
Age-structure model for oncolytic virotherapy	37
Stability and bifurcation of a delayed Aron–May model for malaria transmission	31
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	29
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	28
A Bayesian test for seasonality in medical data	26
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	23
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	20
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	20
Order shrinkage and selection for the INGARCH(p,q) model	19
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	15
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	15
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	14
Ecological and epidemiological ramification of fear: Exploring deterministic and stochastic dynamics in a predator–prey system with predator switching and harvesting	14
Global dynamical behavior of a delayed cytokine-enhanced viral infection model with nonlinear incidence	14
Global stability and optimal control of an age-structured quit-smoking model with quit-smoking duration	14
Stochastic dynamical behaviors of SOS/ERK signaling pathway perturbated by external noise	14
Dynamical aspects of corona virus infection	13
The effect of sudden fluctuations on a treated Hepatitis C model	13
Optimal control application to the epidemiology of HBV and HCV co-infection	13
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	13
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	13

Stability analysis of a pine wood nematode prevention and control model with delay	13
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	12
Exploring tri-trophic food chain model with toxicity and additional food: Unraveling bifurcation, chaos, density variation and bistability	11
Dynamical analysis of a periodically switched predator–prey model with role reversal and hibernation	11
Residual Shufflenet with Optimization: A Novel Approach for Brain Tumor Detection in MRI Images	11
Effect of random movement and cooperative hunting in the prey–predator system: A dynamical approach	11
Epidemic transmission modeling with fractional derivatives and environmental pathogens	10
Dynamical behavior analysis of an eighth-order Sharma’s method	10
A rumor propagation model integrated with psychological factors	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
How can we avoid the extinction of any species naturally? A mathematical model	9
Mathematical analysis to predict the influence of typhoid conjugate vaccine on antimicrobial resistance	9
Existence and stability of steady-state bifurcations in a prey–predator system with a nonmonotonic functional response	8
Bifurcation analysis and network investigation of a Fitzhugh–Nagumo-based neuron model with combined effects of the external current and electrical field	8
Dynamics of Squirrel Populations Competition Model with the Influence of Fear Effect and Squirrel-pox Virus	8
Stationary distribution and long-time behavior of COVID-19 model with stochastic effect	8
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	8
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	8
External noise-induced stochastic resonance and stochastic transitions in p53-Mdm2 regulatory network	8
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	8
Control dengue with Wolbachia: Insights from a two-strain vector-host model with larval competition	8
An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations	8
Analyzing and forecasting dengue fever incidence in Thailand: A comprehensive study for public health preparedness	7
Propagation dynamics of diffusive disease models with infectious stages	7
Dynamics of an Echinococcosis transmission model	7
Minimal wave speed for a reaction–diffusion tuberculosis model with the fast and slow progression	7
Modelling of Cancer Growth Considering the Dynamics of Mutation and Controlling the Cell Proliferation of Cancer in the Presence of Mutation Using Adaptive Control	7
On a diffusive bacteriophage dynamical model for bacterial infections	7
Dynamics and optimal control in transmission of tungiasis diseases	7
Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain	7
Dynamical analysis of a fractional SVEIHRP mathematical model for COVID-19 transmission in the perspective of Bangladesh	7
Exploring gene mutation dynamics in lung carcinogenesis through multistage models in Japanese and Chinese populations	7
Stability and bifurcation in a two-patch commensal symbiosis model with nonlinear dispersal and additive Allee effect	7
Pattern formation and inducing mechanisms of a spatiotemporal discrete system based on a modified Klausmeier model	7
Global dynamical analysis of H5 subtype avian influenza model	6
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	6
Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects	6
The dynamics of delayed models for interactive wild and sterile mosquito populations	6
The analysis of deterministic and stochastic SIM model with general information intervention	6
Numerical analysis of skin cancer model induced by ultraviolet radiation	6
Dynamic analysis of a syphilis epidemic model with time delay and control measures	6
Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics	6
Author index (Volume 16)	6
Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate	5
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	5
Hopf bifurcation of a delayed predator–prey model with Allee effect and anti-predator behavior	5
Coexistence and bistability of a modified Leslie–Gower predator–prey model with mixed movement for the predator and Holling-type II schemes	5
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	5
A nonlinear optimal control method against the spreading of epidemics	5

Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	5
A Multi-Layer Computational Neural Network Approach for Solving Stochastic Within-Host Chikungunya Model with an Adaptive Immune Response	5
Fractional dynamics of a two-strain dengue model with co-infections and saturated incidences	5
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	5
Bifurcations, chaos analysis and control in a discrete predator–prey model with mixed functional responses	5
Stability and metastability in a chemotaxis model	5
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	5
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	5
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	5
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	5
Propagation dynamics of a three-species nonlocal dispersal predator–prey system with two weak competing aborigine preys	5
Enchanting dynamics: Juvenile and adult predators with prey model in an intuitionistic fuzzy environment	5
Bifurcation analysis of a diffusive radio-dependent model with spatial memory	5
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	5
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	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
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	5
Impulse controls in optimal harvesting of age-structured populations	4
Mathematical modeling of malaria with vaccination, treatment and vector control	4
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	4
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	4
Dynamics and parameter identification of SIRDS models with aging population factor	4
Impact of fear on delayed three species food-web model with Holling type-II functional response	4
Tuberculosis transmission with multiple saturated exogenous reinfections	4
Stability and Hopf bifurcation in a resources-based and carrying-capacity-driven diffusion model	4
Noise propagation and amplification in microbial communities with different resistance mechanisms	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
Semi-wavefront for a Lotka–Volterra competition system with spatio-temporal delay	4
Extraction of hybrid data using intrinsic interactions of relaxation times in MRI	4
Vaccination effect on a stochastic epidemic model with healing and relapse	4
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
Dynamics of a predator–prey model with mutation and nonlocal effect	4
Stability and optimal control of a cholera transmission model with waning vaccine-induced immunity and phage–vibrio interactions	4
Measles transmission dynamics and optimal control in Guangdong, China	4
Global dynamics of the Rosenzweig–MacArthur model with variable search rate	3
A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis	3
Competitive exclusion and coexistence in a general two-species stochastic chemostat model with Markov switching	3
A class of natural pinus koraiensis population system with time delay and diffusion term	3
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	3
Diverse Bifurcation Structures and Multi-Stability in Interacting Species Dynamics	3
A stochastic epidemic model with individual heterogeneity and mean-reverting Ornstein–Uhlenbeck process	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Hopf bifurcation and normal form in a delayed oncolytic model	3
Author index (Volume 17)	3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	3
Toxic effects on predator–prey dynamics: From deterministic to stochastic perspectives	3
Discrete time Dynamics in a Two-Strain Symbiotic Contact Process	3
Investigating the effect of three different types of diffusion on the stability of a Leslie–Gower type predator–prey system	3
Dynamical analysis and optimal control for a delayed viral infection model	3
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	3
The spatial and temporal effects of Fog–Haze pollution on the influenza transmission	3
The threshold and density function analysis of a stochastic SIVS model with saturation incidence	3
Bifurcation analysis and optimal control of COVID-19 with exogenous reinfection and media coverages	3
Pulsating traveling fronts of a discrete periodic system with a quiescent stage	3
Minimal wave speed for a predator–prey system with nonlocal dispersal	3
Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring	3
Effects of information-induced behavioral changes on brucellosis outbreak in Jilin province	3
Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay	3
Stability and bifurcation of HIV-1 infection model with latent reservoir, cell-to-cell transmission and immune impairment	3
Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term	3
Threshold dynamics of a stochastic epidemic model incorporating emotional influence under three-tier media alerts	3
Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction	3
Transmission dynamics and optimal control of H7N9 in China	3