An SIR epidemic model with time delay and general nonlinear incidence rate
type: Item
instance of: scholarly article
title: An SIR epidemic model with time delay and general nonlinear incidence rate
zbMATH Open document ID: 1406.92592
DOI: 10.1155/2014/131257
author: Mingming Li
author: Xianning Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: An SIR epidemic model with nonlinear incidence rate and time delay is investigated. The disease transmission function and the rate that infected individuals recovered from the infected compartment are assumed to be governed by general functions \(F(S, I)\) and \(G(I)\), respectively. By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained. It is shown that the global properties of the system depend on both the properties of these general functions and the basic reproductive number \(R_0\).
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7021771
zbMATH Keywords: SIR epidemic model
zbMATH Keywords: nonlinear incidence rate
zbMATH Keywords: time delay
zbMATH Keywords: global asymptotic stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/131257
OpenAlex ID: W1981944038
Wikidata QID: Q59035345
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description: scientific article; zbMATH DE number 7021771