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A delayed computer virus propagation model and its dynamics
journal contribution
posted on 2012-01-01, 00:00 authored by J Ren, X Yang, Luxing YangLuxing Yang, Y Xu, F YangIn this paper, we propose a delayed computer virus propagation model and study its dynamic behaviors. First, we give the threshold value R0determining whether the virus dies out completely. Second, we study the local asymptotic stability of the equilibria of this model and it is found that, depending on the time delays, a Hopf bifurcation may occur in the model. Next, we prove that, if R0= 1, the virus-free equilibrium is globally attractive; and when R0< 1, it is globally asymptotically stable. Finally, a sufficient criterion for the global stability of the virus equilibrium is obtained.
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Journal
Chaos, solitons and fractalsVolume
45Issue
1Pagination
74 - 79Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0960-0779Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2011, ElsevierUsage metrics
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