Global dynamics of an \textit{SIRS} epidemic model with distributed delay on heterogeneous network
type: Item
instance of: scholarly article
title: Global dynamics of an \textit{SIRS} epidemic model with distributed delay on heterogeneous network
zbMATH Open document ID: 1426.34099
DOI: 10.1155/2017/6376502
author: Baochen Li
author: Qiming Liu
author: Mei-Ci Sun
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: A novel epidemic \(S I R S\) model with distributed delay on complex network is discussed in this paper. The formula of the basis reproductive number \(R_0\) for the model is given, and it is proved that the disease dies out when \(R_0 < 1\) and the disease is uniformly persistent when \(R_0 > 1\). In addition, a unique endemic equilibrium for the \(S I R S\) model exists when \(R_0 > 1\), and a set of sufficient conditions on the global attractiveness of the endemic equilibrium for the system is given.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6972326
Wikidata QID: Q59147680
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6376502
OpenAlex ID: W2589360253
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description: scientific article; zbMATH DE number 6972326