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A novel computer virus model and its dynamics
journal contribution
posted on 2012-02-01, 00:00 authored by J Ren, X Yang, Q Zhu, Luxing YangLuxing Yang, C ZhangIn this paper, we propose a novel computer virus propagation model and study its dynamic behaviors; to our knowledge, this is the first time the effect of anti-virus ability has been taken into account in this way. In this context, we give the threshold for determining whether the virus dies out completely. Then, we study the existence of equilibria, and analyze their local and global asymptotic stability. Next, we find that, depending on the anti-virus ability, a backward bifurcation or a Hopf bifurcation may occur. Finally, we show that under appropriate conditions, bistable states may be around. Numerical results illustrate some typical phenomena that may occur in the virus propagation over computer network.
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Journal
Nonlinear analysis: real world applicationsVolume
13Issue
1Pagination
376 - 384Publisher
ElsevierLocation
London, Eng.Publisher DOI
ISSN
1468-1218Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2011, ElsevierUsage metrics
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