Complex dynamics of epidemic models on adaptive networks
type: Item
instance of: scholarly article
title: Complex dynamics of epidemic models on adaptive networks
zbMATH Open document ID: 1410.35259
author: Xiaoguang Zhang
author: Chunhua Shan
author: Zhen Jin
author: Huanping Zhu
published in: Journal of Differential Equations
publication date: 2018-11-06T00:00:00Z
review text: This work addresses the dynamics and bifurcations of a system of three ordinary differential equations obtained as a mean-field model for the SIS epidemic spread on a network, which topology changes during the epidemics. The latter is taken into account by considering pairs of nodes that results in the third-order non-linear polynomial terms in the ODEs. Respectively, the system exhibits more rich dynamics in comparison with epidemic models on static structures. In particular, oscillation solutions (limit cycles) are possible in this case that may resemble recurrent epidemics outbreaks.
reviewed by: Eugene Postnikov
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 34B60
zbMATH DE Number: 6973908
zbMATH Keywords: epidemic model
zbMATH Keywords: adaptive network
zbMATH Keywords: transient oscillations
zbMATH Keywords: Bogdanov-Takens bifurcation
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: multiple limit cycles
MaRDI profile type: Publication
full work available at URL: j.jde.2018.07.054
OpenAlex ID: W2885255913
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Wikidata QID: Q129433354
DOI: 10.1016/J.JDE.2018.07.054
description: scientific article; zbMATH DE number 6973908