Global bifurcation of a novel computer virus propagation model
type: Item
instance of: scholarly article
title: Global bifurcation of a novel computer virus propagation model
zbMATH Open document ID: 1474.34260
DOI: 10.1155/2014/731856
author: Jianguo Ren
author: Yonghong Xu
author: Jiming Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In a recent paper [the first author et al., Nonlinear Anal., Real World Appl. 13, No. 1, 376--384 (2012; Zbl 1238.34076)], a novel computer virus propagation model under the effect of the antivirus ability in a real network is established. The analysis there only partially uncovers the dynamics behaviors of virus spread over the network in the case where around bifurcation is local. In the present paper, by mathematical analysis, it is further shown that, under appropriate parameter values, the model may undergo a global B-T bifurcation, and the curves of saddle-node bifurcation, Hopf bifurcation, and homoclinic bifurcation are obtained to illustrate the qualitative behaviors of virus propagation. On this basis, a collection of policies is recommended to prohibit the virus prevalence. To our knowledge, this is the first time the global bifurcation has been explored for the computer virus propagation. Theoretical results and corresponding suggestions may help us suppress or eliminate virus propagation in the network.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 68M11
zbMATH DE Number: 7022971
Wikidata QID: Q59041027
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/731856
OpenAlex ID: W1999081908
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description: scientific article; zbMATH DE number 7022971