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 2020-05-01 to 2024-05-01.)

Article	Citations
Stochastic numerical investigations for nonlinear three-species food chain system	81
Global dynamics of a fractional-order SIR epidemic model with memory	58
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	55
Dynamics analysis of fractional-order Hopfield neural networks	44
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	33
Analysis and dynamical behavior of a novel dengue model via fractional calculus	24
Modeling the mechanics of calcium regulation in T lymphocyte: A finite element method approach	24
Different kinds of generalized rough sets based on neighborhoods with a medical application	24
Comparison between two tritrophic food chain models with multiple delays and anti-predation effect	23
Stability analysis of a fractional-order cancer model with chaotic dynamics	22
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	22
Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis	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
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis	17
Pythagorean m-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19	15
Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection	15
Dynamics of a discrete predator-prey model with Holling-II functional response	15
Neuro-optimized numerical treatment of HIV infection model	14
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting	14
Fractional approach for mathematical model of phytoplankton–toxic phytoplankton–zooplankton system with Mittag-Leffler kernel	13
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	13
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	13
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	12
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
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
Optimal control application to the epidemiology of HBV and HCV co-infection	10
Bifurcations due to different delays of high-order fractional neural networks	10
Intelligent computing networks for nonlinear influenza-A epidemic model	10
The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps	10
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	10
A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination	9
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	9
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	9
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment	9
Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey	9
Natural selection between two games with environmental feedback	8
Interspecific density-dependent model of predator–prey relationship in the chemostat	8
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	8
Impulsive multidirectional associative memory neural networks: New results	8
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	8
A generalized stochastic competitive system with Ornstein–Uhlenbeck process	8
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	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
Nonlinear dynamics of a three-dimensional discrete-time delay neural network	7
Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay	7
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	7
Dynamics of a stochastic periodic SIRS model with time delay	7
Polynomial dissipativity of proportional delayed BAM neural networks	7
Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect	7
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	7
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	7
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	7
Global stability of a within-host SARS-CoV-2/cancer model with immunity and diffusion	7
The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system	6
Leslie’s prey–predator model in discrete time	6
Time-varying sensitivity analysis of an influenza model with interventions	6
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	6
Global threshold dynamics of an age structured alcoholism model	6
Dynamics of bilateral control system with state feedback for price adjustment strategy	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
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	6
Impact of fear on delayed three species food-web model with Holling type-II functional response	6
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
Delayed fuzzy genetic regulatory networks: Novel results	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
Modeling the effectiveness of TV and social media advertisements on the dynamics of water-borne diseases	5
Analysis and chaotic behavior of a fish farming model with singular and non-singular kernel	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 an initial value problem for an extracellular and intracellular model of hepatitis C virus infection	5
A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission	5
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations	5
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	5
Analysis of a mathematical model for the transmission dynamics of human melioidosis	4
Bifurcation and optimal control analysis of delayed models for huanglongbing	4
Bipolar disorder diagnosis with cubic bipolar fuzzy information using TOPSIS and ELECTRE-I	4
Complex dynamics in a Filippov pest control model with group defense	4
Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation	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
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	4
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	4
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	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
Impulsive state feedback control during the sulphitation reaction in process of manufacture of sugar	4
Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator	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
A stochastic analysis of co-infection model in a finite carrying capacity population	4
Spatiotemporal dynamics of immunogenic tumors	4
Invasion waves for a diffusive predator–prey model with two preys and one predator	4
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	4
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	4
Modeling a stochastic avian influenza model under regime switching and with human-to-human transmission	4
Interplays of a waterborne disease model linking within- and between-host dynamics with waning vaccine-induced immunity	4
Global dynamical analysis of H5 subtype avian influenza model	4
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	4
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay	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
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	4
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	4
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	3
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	3
Global dynamics in an age-structured HIV model with humoral immunity	3
A diffusive tuberculosis model with early and late latent infections: New Lyapunov function approach to global stability	3
Hopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delays	3
Three-dimensional spread analysis of a Dengue disease model with numerical season control	3
Two-sex logistic model for human papillomavirus and optimal vaccine	3
Bifurcation analysis of a fractional-order SIQR model with double time delays	3
Extended Topp–Leone family of distributions as an alternative to beta and Kumaraswamy type distributions: Application to glycosaminoglycans concentration level in urine	3
On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method	3
Dynamics of tuberculosis in HIV–HCV co-infected cases	3
Mathematical formalization of the process of crossing individuals of different populations within the framework of the quasispecies model	3
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	3
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	3
Dynamics of a stochastic rabies epidemic model with Markovian switching	3
Invasive-invaded system of non-Lipschitz porous medium equations with advection	3
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model	3
Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis	3
Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model	3
Dynamical behavior of recurrent neural networks with different external inputs	3
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	3
Asymptotic stability in a mosquito population suppression model with time delay	3
Global dynamics of a model of hepatitis B virus infection in a sub-Saharan African rural area	3
On the Simpson index for the Wright–Fisher process with random selection and immigration	3
Modeling and stability analysis of HIV/HTLV-I co-infection	3
A compartmental model to investigate the dynamics of the COVID-19 pandemic: A case study in five countries	3
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	3
Age-structure model for oncolytic virotherapy	3
A mathematical analysis of a tuberculosis epidemic model with two treatments and exogenous re-infection	3
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion	3
The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment	3
Dynamical analysis of an SIS epidemic model with migration and residence time	3
Dynamics of a stochastic SIRS epidemic model with standard incidence under regime switching	3
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals	3
Stochastic Nicholson’s blowflies model with delays	3