Dynamics of a delay-varying computer virus propagation model
type: Item
instance of: scholarly article
title: Dynamics of a delay-varying computer virus propagation model
zbMATH Open document ID: 1248.68076
DOI: 10.1155/2012/371792
author: Jianguo Ren
author: Yonghong Xu
author: Yongquan Dong
author: Yong-Chang Zhang
author: Guosheng Hao
published in: Discrete Dynamics in Nature and Society
publication date: 2012-10-19T00:00:00Z
review text: Summary: By considering the varying latency period of computer virus, we propose a novel model for computer virus propagation in network. Under this model, we give the threshold value determining whether or not the virus finally dies out, and study the local stability of the virus-free and virus equilibrium. It is found that the model may undergo a Hopf bifurcation. Next, we use different methods to prove the global asymptotic stability of the equilibria: the virus-free equilibrium by using the direct Lyapunov method and virus equilibrium by using a geometric approach. Finally, some numerical examples are given to support our conclusions.
Mathematics Subject Classification ID: 68M11
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 6096216
zbMATH Keywords: virus propagation
zbMATH Keywords: computer networks
Wikidata QID: Q58700501
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/371792
OpenAlex ID: W2155301880
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description: scientific article; zbMATH DE number 6096216