Global stability for an SIR epidemic model with delay and nonlinear incidence

From MaRDI portal
Publication:984599

DOI10.1016/j.nonrwa.2009.11.005zbMath1197.34166OpenAlexW2037941375MaRDI QIDQ984599

C. Connell McCluskey

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.11.005




Related Items (81)

An age-structured model for coupling within-host and between-host dynamics in environmentally-driven infectious diseasesAn SEIR epidemic model with relapse and general nonlinear incidence rate with application to media impactGlobal dynamics for an HIV infection model with Crowley-Martin functional response and two distributed delaysGlobal asymptotic stability of a delayed plant disease modelA delayed SIR model with general nonlinear incidence rateGlobal dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence ratesHopf bifurcation analysis for an SIRS epidemic model with logistic growth and delaysGlobal stability for reaction-diffusion equations in biologyPattern mechanism in stochastic SIR networks with er connectivityTraveling waves in a delayed SIR epidemic model with nonlinear incidenceA class of delayed virus dynamics models with multiple target cellsStabilization to a positive equilibrium for some reaction-diffusion systemsAn NSFD scheme for a class of SIR epidemic models with vaccination and treatmentLyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic modelDelay versus age-of-infection -- global stabilityGlobal analysis of a vector-host epidemic model with nonlinear incidencesOn \(h\)-manifolds stability for impulsive delayed SIR epidemic modelsDynamical analysis of an age‐structured SIRE epidemic model with two routes of infection in environmentGlobal stability of a diffusive virus dynamics model with general incidence function and time delayDynamic and game theory of infectious disease stigmasGlobal threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidenceTime scale theory on stability of explicit and implicit discrete epidemic models: applications to swine flu outbreakNon-pharmaceutical interventions and vaccination controls in a stochastic SIVR epidemic modelMathematical modeling and stability analysis of the time-delayed \(SAIM\) model for COVID-19 vaccination and media coverageSTOCHASTIC PERMANENCE AND EXTINCTION OF AN EPIDEMIC MODEL WITH SATURATED TREATMENTGlobal Stability for a Delay SIR Epidemic Model with General Incidence Function, Observers DesignStability analysis of delayed SIR epidemic models with a class of nonlinear incidence ratesGlobal stability of delay multigroup epidemic models with group mixing and nonlinear incidence ratesGlobal stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operatorsDynamic Analysis of a Delayed Fractional-Order SIR Model with Saturated Incidence and Treatment FunctionsAsymptotic Behavior of Age-Structured and Delayed Lotka--Volterra ModelsAn SIR epidemic model with time delay and general nonlinear incidence rateGlobal Hopf bifurcation analysis for an avian influenza virus propagation model with nonlinear incidence rate and delayGlobal behaviors of a class of discrete SIRS epidemic models with nonlinear incidence rateThreshold dynamics of an SIR model with nonlinear incidence rate and age-dependent susceptibilityGlobal analysis on delay epidemiological dynamic models with nonlinear incidenceA Lyapunov functional for a SIRI model with nonlinear incidence of infection and relapseGlobal dynamics of a two-strain flu model with delayGlobal Hopf bifurcation analysis of an susceptible-infective-removed epidemic model incorporating media coverage with time delayDengue transmission: mathematical model with discrete time delays and estimation of the reproduction numberGlobal stability for a discrete SIS epidemic model with immigration of infectivesCompetitive exclusion in a vector–host epidemic model with distributed delayModelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic modelModelling the impact of vaccination on infectious diseases dynamicsGlobal dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delaysThe spreading speed of an SIR epidemic model with nonlocal dispersalGlobal stability properties of a class of renewal epidemic modelsAnalysis of time delayed rabies model in human and dog populations with controlsOn global stability of the equilibria of an ordinary differential equation model of Kawasaki disease pathogenesisGlobal properties and bifurcation analysis of an HIV-1 infection model with two target cellsStability analysis of a model for HBV infection with cure of infected cells and intracellular delayGlobal dynamics of a latent HIV infection model with general incidence function and multiple delaysGlobal analysis for delay virus dynamics model with Beddington-DeAngelis functional responseGlobal properties for virus dynamics model with mitotic transmission and intracellular delayA delayed diffusive influenza model with two-strain and two vaccinationsPermanence and global stability of a class of discrete epidemic modelsGlobal analysis of virus dynamics model with logistic mitosis, cure rate and delay in virus productionStability analysis for a delayed SIR model with a nonlinear incidence rateAnalysis of a delayed SIR model subject to multiple infectious stages and nonlinear incidence rateUnnamed ItemGlobal stability and optimal control of an SIRS epidemic model on heterogeneous networksGlobal stability analysis of an SIR epidemic model with demographics and time delay on networksGlobal dynamics of an epidemiological model with age-of-infection dependent treatment rateUsing differential equations with time delay on a hexagonal lattice for modeling immunosensorsGlobal attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidenceGlobal dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence ratesStability and Hopf bifurcation analysis of an epidemic model by using the method of multiple scalesEffect of discretization on dynamical behavior in an epidemiological modelDynamics of an SEIR epidemic model with nonlinear incidence and treatment ratesFlu epidemics: a two-strain flu model with a single vaccinationAn information dissemination model based on positive and negative interference in social networksMagnus-type integrator for semilinear delay equations with an application to epidemic modelsStability and Hopf bifurcation for a delayed SIR epidemic model with logistic growthDynamic behavior of leptospirosis disease with saturated incidence rateMinimal wave speed of a diffusive SIR epidemic model with nonlocal delayA new perspective on infection forces with demonstration by a DDE infectious disease modelGlobal stability for multi-species Lotka–Volterra cooperative systems: One hyper-connected mutualistic-speciesGLOBAL STABILITY ANALYSIS AND PERMANENCE FOR AN HIV-1 DYNAMICS MODEL WITH DISTRIBUTED DELAYSTraveling waves of a delayed diffusive SIR epidemic modelThreshold dynamics of a periodic SIR model with delay in an infected compartmentGlobal analysis of an SIR epidemic model with infection age and saturated incidence



Cites Work


This page was built for publication: Global stability for an SIR epidemic model with delay and nonlinear incidence