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 2020-11-01 to 2024-11-01.)

Article	Citations
Stochastic numerical investigations for nonlinear three-species food chain system	89
Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis	58
Dynamics analysis of fractional-order Hopfield neural networks	46
Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting	34
Analysis and dynamical behavior of a novel dengue model via fractional calculus	29
Different kinds of generalized rough sets based on neighborhoods with a medical application	28
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis	26
Comparison between two tritrophic food chain models with multiple delays and anti-predation effect	24
Bio-convective viscoelastic Casson nanofluid flow over a stretching sheet in the presence of induced magnetic field with Cattaneo–Christov double diffusion	24
Stability analysis of a fractional-order cancer model with chaotic dynamics	23
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system	23
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation	23
Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis	22
Analysis and chaotic behavior of a fish farming model with singular and non-singular kernel	19
Neuro-optimized numerical treatment of HIV infection model	18
Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative	18
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting	18
Dynamics of a discrete predator-prey model with Holling-II functional response	18
Modeling and stability analysis of the spread of novel coronavirus disease COVID-19	14
Fractional approach for mathematical model of phytoplankton–toxic phytoplankton–zooplankton system with Mittag-Leffler kernel	14
Intelligent computing networks for nonlinear influenza-A epidemic model	14
Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects	13
Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating	13
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate	13
The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps	12

Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure	12
Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractional derivative	12
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative	12
Analysis of thermal injuries using classical Fourier and DPL models for multi-layer of skin under different boundary conditions	12
Optimal control application to the epidemiology of HBV and HCV co-infection	12
Dynamics of stochastic predator–prey models with distributed delay and stage structure for prey	11
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment	11
Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays	10
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays	10
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel	10
Stochastic dynamics of the transmission of Dengue fever virus between mosquitoes and humans	10
Bifurcations due to different delays of high-order fractional neural networks	10
Nonlinear dynamics of a three-dimensional discrete-time delay neural network	9
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis	9
Interspecific density-dependent model of predator–prey relationship in the chemostat	9
Dynamical behavior analysis of an eighth-order Sharma’s method	8
Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model	8
Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution	8
Natural selection between two games with environmental feedback	8
A generalized stochastic competitive system with Ornstein–Uhlenbeck process	8
Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems	8
Impulsive multidirectional associative memory neural networks: New results	8
Global stability of a within-host SARS-CoV-2/cancer model with immunity and diffusion	7
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems	7
Impact of fear on delayed three species food-web model with Holling type-II functional response	7
The global stability and optimal control of the COVID-19 epidemic model	7
Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect	7
Hierarchical medical diagnosis approach for COVID-19 based on picture fuzzy fairly aggregation operators	7
Time-varying sensitivity analysis of an influenza model with interventions	7
Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection	7
Analysis of an SQEIAR stochastic epidemic model with media coverage and asymptomatic infection	7
Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey	7
The uncoupled microbial fed-batch fermentation optimization based on state-dependent switched system	6
Modeling the effectiveness of TV and social media advertisements on the dynamics of water-borne diseases	6
Interactions of periodic birth and shearing induce outbreak of Brucellosis in Inner Mongolia	6
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic	6
Stability and bifurcation for a stochastic differential algebraic Holling-II predator–prey model with nonlinear harvesting and delay	6
Impact of solitons on the progression of initial lesion in aortic dissection	6
Dynamics of bilateral control system with state feedback for price adjustment strategy	6
A nonautonomous mathematical model to assess the impact of algae on the abatement of atmospheric carbon dioxide	6
Global threshold dynamics of an age structured alcoholism model	6
An analytical approach for the fractional-order Hepatitis B model using new operator	6
Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems	6
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India	6
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect	5
Bifurcation and optimal control analysis of delayed models for huanglongbing	5
Assessing the lifetime performance index of weighted Lomax distribution based on progressive type-II censoring scheme for bladder cancer	5
Dynamics of an SIRS model with age structure and two delays	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

The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes	5
The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate	5
Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds	5
Dynamics of a delayed reaction–diffusion predator–prey model with nonlocal competition and double Allee effect in prey	5
Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect	5
Delayed fuzzy genetic regulatory networks: Novel results	5
New mathematical modelings of the human liver and hearing loss systems with fractional derivatives	5
Qualitative analysis of a diffusive predator–prey model with Allee and fear effects	5
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model	5
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay	5
A stochastic analysis of co-infection model in a finite carrying capacity population	5
Estimating the impact of antiretroviral therapy on HIV-TB co-infection: Optimal strategy prediction	5
Two-sex logistic model for human papillomavirus and optimal vaccine	4
Diagnosis of lumbar degenerative disc disease by using Lp-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator	4
The productivity of two serial chemostats	4
Optimal harvesting of a fuzzy water hyacinth-fish model with Kuznets curve effect	4
Dynamics of tuberculosis in HIV–HCV co-infected cases	4
Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages	4
Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators	4
The minimal speed of traveling wavefronts for a three-component competition system with nonlocal dispersal	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
Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model	4
Three-dimensional spread analysis of a Dengue disease model with numerical season control	4
Extended Topp–Leone family of distributions as an alternative to beta and Kumaraswamy type distributions: Application to glycosaminoglycans concentration level in urine	4
Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change	4
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals	4
Global dynamical behavior of a multigroup SVIR epidemic model with Markovian switching	4
Fractional order reaction diffusion of calcium regulating NFAT production in T Lymphocyte	4
Mathematical analysis of a model of Ebola disease with control measures	4
Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting	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
Interplays of a waterborne disease model linking within- and between-host dynamics with waning vaccine-induced immunity	4
On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method	4
Stochastic Nicholson’s blowflies model with delays	4
Medical diagnosis of nephrotic syndrome using m-polar spherical fuzzy sets	4
Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme	4
Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection	4
Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity	4
Global exponential p-norm stability of BAM neural networks with unbounded time-varying delays: A method based on the representation of solutions	3
Impact of vaccination on the dynamics of COVID-19: A mathematical study using fractional derivatives	3
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates	3
Dynamical analysis of an SIS epidemic model with migration and residence time	3
Modeling the impact of awareness programs on the transmission dynamics of dengue and optimal control	3
Modeling and stability analysis of HIV/HTLV-I co-infection	3
Stability and bifurcation analysis of a tri-trophic food chain model with intraguild predation	3
Dynamics for a hybrid non-autonomous prey–predator system with generalist predator and impulsive conditions on time scales	3
A compartmental model to investigate the dynamics of the COVID-19 pandemic: A case study in five countries	3
Invasive-invaded system of non-Lipschitz porous medium equations with advection	3
SIRS epidemic modeling using fractional-ordered differential equations: Role of fear effect	3
Age-structure model for oncolytic virotherapy	3
The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment	3
A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis	3
Optimal control of a nonlinear state-dependent impulsive system in fed-batch process	3
Dynamics of a stochastic SIRS epidemic model with standard incidence under regime switching	3
Dynamical behavior of recurrent neural networks with different external inputs	3
Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect	3
Analysis of an avian influenza model with Allee effect and stochasticity	3
Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge	3
Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models	3
Discrete state-structured epidemic models with distributed delays	3
Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting	3
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate	3
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion	3
Global dynamics in an age-structured HIV model with humoral immunity	3
A new quantile regression model for modeling child mortality	3
Dynamics of a delay-induced prey–predator system with interaction between immature prey and predators	3
The impact of fear effect on the dynamics of a delayed predator–prey model with stage structure	3
Dynamical behavior of a mosquito population suppression model composed of two sub-models	3
Asymptotic stability in a mosquito population suppression model with time delay	3
Mathematical formalization of the process of crossing individuals of different populations within the framework of the quasispecies model	3
Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives	3
Bifurcation and chaos analysis of tumor growth	3
A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation	3
Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response	3
A diffusive tuberculosis model with early and late latent infections: New Lyapunov function approach to global stability	3
Dynamics of a stochastic rabies epidemic model with Markovian switching	3
A stochastic analysis for a triple delayed SIR epidemic model with vaccination incorporating Lévy noise	3