Global Hopf bifurcation of a delayed equation describing the lag effect of media impact on the spread of infectious disease
type: Item
instance of: scholarly article
title: Global Hopf bifurcation of a delayed equation describing the lag effect of media impact on the spread of infectious disease
zbMATH Open document ID: 1390.34233
author: Pengfei Song
author: Yanni Xiao
published in: Journal of Mathematical Biology
publication date: 2018-04-10T00:00:00Z
review text: The authors propose a delay differential model of the form \[ \begin{aligned} &\dot{S}=\Lambda -\beta e^{\alpha I(t-\tau)}SI-dS,\\ &\dot{I}=\beta e^{\alpha I(t-\tau)}SI-(d+\gamma)I,\\ &\dot{R}=\gamma I- \mu R \end{aligned} \] to examine the media impact on the transmission dynamics of infectious diseases. They study the stability of the disease-free and endemic equilibria as well as the local and global Hopf bifurcations. Further, a case study is considered on the basis of the 2009 A/H1N1 pandemic influenza data in Shaanxi province of China.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6857925
zbMATH Keywords: media impact
zbMATH Keywords: time delay
zbMATH Keywords: global Hopf bifurcation
reviewed by: Hassan A. El-Morshedy
describes a project that uses: DDE-BIFTOOL
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s00285-017-1173-y
OpenAlex ID: W2753236836
Wikidata QID: Q38602705
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DOI: 10.1007/S00285-017-1173-Y
description: scientific article; zbMATH DE number 6857925