An \textit{SIRS} model for assessing impact of media coverage
type: Item
instance of: scholarly article
title: An \textit{SIRS} model for assessing impact of media coverage
zbMATH Open document ID: 1406.92564
DOI: 10.1155/2014/424610
author: Zhanmin Wu
author: Jing-An Cui
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: An \textit{SIRS} model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction number \(\mathcal{R}_0 < 1\), the disease-free equilibrium is locally asymptotically stable. There is a unique endemic equilibrium that is locally asymptotically stable if \(\mathcal{R}_0 > 1\). Under some conditions, the endemic equilibrium is globally asymptotically stable. At last, we conduct numerical simulations to illustrate some results which shed light on the media report that may be the very effective method for infectious disease control.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7022367
zbMATH Keywords: SIRS model
zbMATH Keywords: nonlinear contact function
zbMATH Keywords: global stability
Wikidata QID: Q59037886
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/424610
OpenAlex ID: W2052601415
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description: scientific article; zbMATH DE number 7022367