OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Biomathematics is 4. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Stochastic numerical investigations for nonlinear three-species food chain system	80
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	55
Global dynamics of a fractional-order SIR epidemic model with memory	54
Dynamics analysis of fractional-order Hopfield neural networks	42
Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect	37
Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting	34
Comparison between two tritrophic food chain models with multiple delays and anti-predation effect	23
Analysis and dynamical behavior of a novel dengue model via fractional calculus	23
Different kinds of generalized rough sets based on neighborhoods with a medical application	23
Modeling the mechanics of calcium regulation in T lymphocyte: A finite element method approach	23
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	21
Stability analysis of a fractional-order cancer model with chaotic dynamics	21
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation	20
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	20
Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis	18
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis	17
Dynamics of a discrete predator-prey model with Holling-II functional response	15
Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection	15
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting	15
Pythagorean m-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19	15
Fractional approach for mathematical model of phytoplankton–toxic phytoplankton–zooplankton system with Mittag-Leffler kernel	13
Neuro-optimized numerical treatment of HIV infection model	13
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	13
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	13
Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model	12

A multi-delay model for pest control with awareness induced interventions — Hopf bifurcation and optimal control analysis	12
Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating	12
Analysis of thermal injuries using classical Fourier and DPL models for multi-layer of skin under different boundary conditions	11
Bifurcations due to different delays of high-order fractional neural networks	10
Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays	10
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	10
The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps	10
Optimal control application to the epidemiology of HBV and HCV co-infection	10
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	9
A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination	9
Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey	9
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment	9
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	9
Intelligent computing networks for nonlinear influenza-A epidemic model	9
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	9
Natural selection between two games with environmental feedback	8
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	8
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	8
Polynomial dissipativity of proportional delayed BAM neural networks	7
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	7
Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell	7
Dynamics of a stochastic periodic SIRS model with time delay	7
Global stability of a within-host SARS-CoV-2/cancer model with immunity and diffusion	7
Impulsive multidirectional associative memory neural networks: New results	7
Dynamical behavior analysis of an eighth-order Sharma’s method	7
New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory	7
Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect	7
Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay	7
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	7
A generalized stochastic competitive system with Ornstein–Uhlenbeck process	7
Interspecific density-dependent model of predator–prey relationship in the chemostat	7
Global threshold dynamics of an age structured alcoholism model	6
Leslie’s prey–predator model in discrete time	6
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	6
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	6
Stability and bifurcation for a stochastic differential algebraic Holling-II predator–prey model with nonlinear harvesting and delay	6
Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance	6
Dynamics of bilateral control system with state feedback for price adjustment strategy	6
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	6
The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system	6
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	6
Time-varying sensitivity analysis of an influenza model with interventions	6
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	6
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	5
Dynamics of an SIRS model with age structure and two delays	5
Interactions of periodic birth and shearing induce outbreak of Brucellosis in Inner Mongolia	5
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	5
Delayed fuzzy genetic regulatory networks: Novel results	5
A mathematical model of cholera in a periodic environment with control actions	5
Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection	5

Modeling the effectiveness of TV and social media advertisements on the dynamics of water-borne diseases	5
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	5
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	5
Cooperative hunting in a discrete predator–prey system	5
Assessing the lifetime performance index of weighted Lomax distribution based on progressive type-II censoring scheme for bladder cancer	5
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	5
Impact of fear on delayed three species food-web model with Holling type-II functional response	5
The global stability and optimal control of the COVID-19 epidemic model	5
The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes	5
Analysis of a mathematical model for the transmission dynamics of human melioidosis	4
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	4
Stability for a competing system of hierarchical age-structured populations	4
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	4
Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems	4
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	4
Estimating the impact of antiretroviral therapy on HIV-TB co-infection: Optimal strategy prediction	4
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	4
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	4
Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator	4
Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation	4
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay	4
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	4
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	4
Invasion waves for a diffusive predator–prey model with two preys and one predator	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	4
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	4
Nonlinear dynamics of a three-dimensional discrete-time delay neural network	4
Global dynamical analysis of H5 subtype avian influenza model	4
Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes	4
Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds	4
Spatiotemporal dynamics of immunogenic tumors	4
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	4
Modeling a stochastic avian influenza model under regime switching and with human-to-human transmission	4
Bifurcation and optimal control analysis of delayed models for huanglongbing	4