Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
type: Item
instance of: scholarly article
title: Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
zbMATH Open document ID: 1022.34044
DOI: 10.1016/S0893-9659(02)00069-1
author: A. Korobeinikov
author: G. C. Wake
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The aim of this note is to prove the global stability of the endemic equilibrium states for classical SIR, SIRS and SIS epidemiological models by using the direct Lyapunov metod. Although this result is known in the related literature, the obtention of a Lyapunov function has some interesting advantages like the possibility to compare the rates of convergence towards the equilibrium between the different models.
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 1878909
zbMATH Keywords: direct Lyapunov method
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: epidemiological models
zbMATH Keywords: endemic equilibrium state
zbMATH Keywords: global stability
MaRDI profile type: Publication
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full work available at URL: s0893-9659(02)00069-1
OpenAlex ID: W1969178891
description: scientific article; zbMATH DE number 1878909