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 2021-03-01 to 2025-03-01.)

Article	Citations
Stationary distribution and probability density function of a stochastic waterborne pathogen model with logistic growth	89
The behavior of a host–parasitoid model with host logistic growth and proportional refuge	60
Bifurcation analysis and pattern formation of an epidemic model with diffusion	42
A Bayesian test for seasonality in medical data	29
Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control	28
Pulsatile blood flow in healthy aorta: An application of nonlinear evolution equation	26
Dynamics of a SIR epidemic model with variable recruitment and quadratic treatment	25
Dynamics of a stochastic rabies epidemic model with Markovian switching	24
Mathematical Modeling of Malaria with Vaccination, Treatment and Vector Control	23
A nonlinear optimal control method against the spreading of epidemics	22
A mathematical modeling of rabies with vaccination and culling	18
Modeling the effects of media information and saturated treatment on malaria disease with NSFD method	18
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	18
Effect of delay on pattern formation of a Rosenzweig–MacArthur type reaction–diffusion model with spatiotemporal delay	14
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	14
Spatial patterns of a reaction–diffusion population system with cross-diffusion and habitat complexity	14
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	13
A stochastic SIS epidemic infectious diseases model with double stochastic perturbations	13
Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population	13
Assessing the impact of agrochemicals on schistosomiasis transmission: A mathematical study	13
Optimal control of alcoholism spreading through awareness over multiplex network	12
The effect analysis of the diapause duration on the hatching parameters of the artificial semi-annual population of Lymantria dispar caterpillars	12
A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis	12
Invasive-invaded system of non-Lipschitz porous medium equations with advection	12
Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays	12

Dynamical analysis of a modified Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge and treatment	11
Integrative Subtyping of Nonsmall Cell Lung Cancer Using Histopathology and Multi-Omics Data	10
Persistence and Global Attractivity of A Nonlocal Single Phytoplankton Species Model in Almost Periodic Environments	10
Analysis, simulation and applications of a delayed target limited cell model under the cumulative effects of vaccine and treatment	10
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	10
Influence of nanoparticles on the spatiotemporal dynamics of phytoplankton–zooplankton interaction system	9
Discrete state-structured epidemic models with distributed delays	9
Different kinds of generalized rough sets based on neighborhoods with a medical application	8
Role of food conversion efficiency due to predation of prey populations in an eco-epidemiological model with Allee and refugia	8
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	8
Optimizing third party funding to alleviate global drug resistance: A game-theoretic modeling approach	8
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	8
Mathematical Analysis and Dynamical Transmission of (SEI_rI_sR) Model with Different Infection Stages by using fractional operator	8
Effect of suction process on the growth of a convective gas bubble in diver’s tissues	8
Gegenbauer wavelet solutions of the SIR and SITR systems of the COVID-19 disease	7
Age-structure model for oncolytic virotherapy	7
Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and strong kernel	7
A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth	7
Dynamics and optimal control of a stochastic delayed human papillomavirus epidemic model with media coverage	7
Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay	7
Speed selection of traveling waves to an epidemic model	7
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	7
Global dynamics in an age-structured HIV model with humoral immunity	7
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	7
Global dynamics of a Leslie–Gower predator–prey model in open advective environments	7
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers	7
Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences	6
Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response	6
Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion	6
Dynamics of a reaction–diffusion three-species food chain model: Effect of space-time white noise	6
Stability and metastability in a chemotaxis model	6
Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma	6
Global attractivity of tick population dynamics model with patch structure and multiple time-varying delays	5
Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative	5
Final size of an n-group SEIR epidemic model with nonlinear incidence rate	5
Global stability analysis of an epidemic model with feedback control and general incidence rate	5
Stability and bifurcation of a delayed Aron–May model for malaria transmission	5
Inhomogeneous Hopf bifurcation and stability in a two-competing-prey and one-predator model with cross-diffusion	5
Dynamical Model of HIV Infection with Homeostatic Growth of CD4+ T Cells and Immune Response	5
Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model	5
Stability and bifurcation analysis of a nonlinear dynamical model studying the decline of vulture population	5
Global dynamics in a model for anthrax transmission in animal populations	5
Exponential stability and optimal control of a stochastic brucellosis model with spatial diffusion and nonlocal transmission	5
Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis	5
Optimal placement of marine protected areas for a predator–prey fish model	5
Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay	5
Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process	5
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with Ornstein–Uhlenbeck process	5
Periodic traveling waves of a SIR model with renewal and delay in one-dimensional lattice	5
Influence of toxic substances on dynamical behavior of a delayed diffusive predator–prey model	4

Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	4
Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate	4
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation	4
Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates	4
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	4
Pattern dynamics and bifurcation in delayed SIR network with diffusion network	4
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	4
The role of host refuge and strong Allee effects in a host–parasitoid system	4
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	4
Global stability of an age-structured model of smoking and its treatment	4
Influence of the presence of a pathogen and leachate recirculation on a bacterial competition	4
Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network	4
The global stability and optimal control of the COVID-19 epidemic model	4
Quantum entangled connectivity and functional connectivity of human brain	4
Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number	4
Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model	4
Global dynamics of a tumor-immune model with an immune checkpoint inhibitor	4
Codimension-1,2 bifurcation analysis of glucose model with obesity effect	4
Well posedness analysis of a parabolic-hyperbolic free boundary problem for necrotic tumors growth	4
Dynamical aspects of corona virus infection	4
Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity	4
Analysis of the free boundary problem of vascular tumor growth with periodic nutrient supply and time delay terms	4
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	4
Order shrinkage and selection for the INGARCH(p,q) model	3
Threshold dynamics of a cooperation–diffusion–advection model in open advective environments	3
Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination	3
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	3
SIR–Bass modeling approach to quantify the effects of intervention adoption on disease transmission	3
A Global Solution to a Hyperbolic Problem for Blood Flow Modelling	3
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	3
Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach	3
Fear and delay effects on a food chain system with two kinds of different functional responses	3
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	3
Dynamic analysis based on the relapse rate of drug epidemic model	3
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	3
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	3
Optimal control application to the epidemiology of HBV and HCV co-infection	3
A stage-structured prey–predator interaction model with the impact of fear and hunting cooperation	3
Optimal control model for IVF treatment in women	3
Investigation of infertility treatments on infertile couples through fractional-order modeling approach	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
Bifurcation and optimal control analysis of delayed models for huanglongbing	3
Regularity and Stability of Neural Impulse Propagation in Alzheimer's Using an Adapted Fitzhugh-Nagumo Model	3
Delayed fuzzy genetic regulatory networks: Novel results	3
Mathematical analysis of a model of Ebola disease with control measures	3
The effect of sudden fluctuations on a treated Hepatitis C model	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
A diffusive intraguild predation model with variable-carrying capacity proportional to the same biotic resource	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
Bistability and bifurcations for a food chain model with nonlinear harvesting of top predator	3