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 2021-04-01 to 2025-04-01.)

Article	Citations
Stationary distribution and probability density function of a stochastic waterborne pathogen model with logistic growth	93
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	60
A Bayesian test for seasonality in medical data	47
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	31
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	30
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	28
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	28
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	27
A nonlinear optimal control method against the spreading of epidemics	25
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	25
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	23
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	22
Assessing the impact of agrochemicals on schistosomiasis transmission: A mathematical study	18
A stochastic SIS epidemic infectious diseases model with double stochastic perturbations	17
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	15
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	14
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	14
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	13
Invasive-invaded system of non-Lipschitz porous medium equations with advection	12
Analysis, simulation and applications of a delayed target limited cell model under the cumulative effects of vaccine and treatment	12
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	12
Dynamical analysis of a modified Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge and treatment	12
Different kinds of generalized rough sets based on neighborhoods with a medical application	12
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	11
Discrete state-structured epidemic models with distributed delays	11

Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	11
Influence of nanoparticles on the spatiotemporal dynamics of phytoplankton–zooplankton interaction system	11
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	10
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	10
Optimizing third party funding to alleviate global drug resistance: A game-theoretic modeling approach	10
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	10
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	10
Age-structure model for oncolytic virotherapy	10
Global dynamics in an age-structured HIV model with humoral immunity	9
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	9
Stability and metastability in a chemotaxis model	8
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	8
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	8
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	8
Speed selection of traveling waves to an epidemic model	8
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	8
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	8
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	8
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	7
Stability and bifurcation analysis of a nonlinear dynamical model studying the decline of vulture population	7
Global stability analysis of an epidemic model with feedback control and general incidence rate	7
Global dynamics in a model for anthrax transmission in animal populations	7
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	7
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	7
Final size of an n-group SEIR epidemic model with nonlinear incidence rate	7
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	7
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	7
Dynamics of a reaction–diffusion three-species food chain model: Effect of space-time white noise	7
Optimal placement of marine protected areas for a predator–prey fish model	7
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	7
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	6
Stability and bifurcation of a delayed Aron–May model for malaria transmission	6
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with Ornstein–Uhlenbeck process	6
Exponential stability and optimal control of a stochastic brucellosis model with spatial diffusion and nonlocal transmission	6
Persistence and global attractivity of a nonlocal single phytoplankton species model in almost periodic environments	5
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	5
Inhomogeneous Hopf bifurcation and stability in a two-competing-prey and one-predator model with cross-diffusion	5
Integrative subtyping of nonsmall cell lung cancer using histopathology and multi-omics data	5
Mathematical analysis and dynamical transmission of SEIrIsR model with different infection stages by using fractional operator	5
Regularity and stability of neural impulse propagation in Alzheimer’s using an adapted Fitzhugh–Nagumo model	5
The effect of sudden fluctuations on a treated Hepatitis C model	5
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	5
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	5
The research on purification of brucellosis in dairy farm based on stochastic model	5
Bayesian Joint Relatively Quantile Regression Modeling of Multivariate Ordinal Longitudinal Data with Latent Mixed Effects Models for an Application to Diagnosis and Treatment of Lung Cancer	5
Modeling the Impact of Quarantine on COVID-19 Transmission: A Comprehensive Approach	5
Influence of dispersal on the dynamics of an eco-epidemiological two-patch predator–prey model in deterministic and stochastic environment with ratio-dependent functional responses	5
Stochastic dynamical analysis and optimal control of the SIR epidemic model with transmission rate affected by Levy noise	5
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	5
Modeling and Evaluation of a Stochastic Multiscale Glioma Model: Integrating Pharmacotherapy and Psychological Interventions	5

Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	5
Analysis of the free boundary problem of vascular tumor growth with periodic nutrient supply and time delay terms	5
Bifurcation analysis and pattern formation of an epidemic model with diffusion	5
Stability of periodic solution for a novel delayed nonautonomous reaction-diffusion food chain systems with ratio-dependent	5
Global stability of an age-structured model of smoking and its treatment	5
Mathematical modeling of malaria with vaccination, treatment and vector control	5
A stage-structured prey–predator interaction model with the impact of fear and hunting cooperation	4
Codimension-1,2 bifurcation analysis of glucose model with obesity effect	4
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Well posedness analysis of a parabolic-hyperbolic free boundary problem for necrotic tumors growth	4
Optimal control application to the epidemiology of HBV and HCV co-infection	4
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	4
The role of host refuge and strong Allee effects in a host–parasitoid system	4
Dynamical aspects of corona virus infection	4
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
A Global Solution to a Hyperbolic Problem for Blood Flow Modelling	4
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	4
Mathematical analysis of a model of Ebola disease with control measures	4
Delayed fuzzy genetic regulatory networks: Novel results	4
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Quantum entangled connectivity and functional connectivity of human brain	4
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	4
Dynamics of a nonlocal diffusion model of hepatitis c virus infection with logistic hepatocyte growth and spatial heterogeneity	4
The global stability and optimal control of the COVID-19 epidemic model	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	4
Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number	3
Optimal control model for IVF treatment in women	3
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation	3
Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments	3
Global dynamics of a hybrid Cholera model with phage–bacteria interaction	3
Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells	3
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	3
Order shrinkage and selection for the INGARCH(p,q) model	3
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	3
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	3
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	3
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	3
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	3
Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response	3
The dynamics of traveling wavefronts for a model describing host tissue degradation by bacteria	3
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	3
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	3
Dynamic analysis based on the relapse rate of drug epidemic model	3
Investigation of infertility treatments on infertile couples through fractional-order modeling approach	3
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	3
Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity	3
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	3
Bifurcation and optimal control analysis of delayed models for huanglongbing	3
Demand assessment of the number of inpatient beds in China based on the COVID-19 dynamical model	3
Hopf bifurcation in a delayed prey–predator model with prey refuge involving fear effect	3
Fear and delay effects on a food chain system with two kinds of different functional responses	3