Global analysis of discrete-time SI and SIS epidemic models

DOI10.3934/mbe.2007.4.699zbMath1142.92038OpenAlexW2334762949WikidataQ44382070 ScholiaQ44382070MaRDI QIDQ932422

Zhien Ma, Fred Brauer, Jianquan Li

Publication date: 11 July 2008

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2007.4.699

zbMATH Keywords

stabilityequilibriumdynamic behaviordiscrete-time epidemic model

Mathematics Subject Classification ID

Related Items (23)

Bifurcation analysis of a discrete \({SIRS}\) epidemic model with standard incidence rate ⋮ A discrete plant disease model with roguing and replanting ⋮ The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence ⋮ Stability analysis in a class of discrete SIRS epidemic models ⋮ Stability preserving NSFD scheme for a multi-group SVIR epidemic model ⋮ Global dynamics in a class of discrete-time epidemic models with disease courses ⋮ Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure ⋮ A mathematical model for Creutzfeldt Jacob disease (CJD) ⋮ Stability and codimension 2 bifurcations of a discrete time SIR model ⋮ Global dynamics of a delayed two-patch discrete SIR disease model ⋮ A nonstandard finite difference scheme for a multi-group epidemic model with time delay ⋮ Bifurcation and chaotic behavior of a discrete-time SIS model ⋮ Dynamic consistent NSFD scheme for a viral infection model with cellular infection and general nonlinear incidence ⋮ Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination ⋮ Stability and bifurcation analysis in a discrete SIR epidemic model ⋮ Global stability for a discrete SIS epidemic model with immigration of infectives ⋮ Dynamical analysis and chaos control of a discrete SIS epidemic model ⋮ Global attractivity of a discrete SIRS epidemic model with standard incidence rate ⋮ Periodic solutions and bifurcation in an SIS epidemic model with birth pulses ⋮ Role of Bio-Pest Control on Theta Logistic Populations: A Case Study on Jatropha Curcus Cultivation System ⋮ Global attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidence ⋮ Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence ⋮ Threshold conditions for a discrete nonautonomous SIRS model

This page was built for publication: Global analysis of discrete-time SI and SIS epidemic models