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A computer virus model with graded cure rates
journal contribution
posted on 2013-02-01, 00:00 authored by Luxing YangLuxing Yang, X Yang, Q Zhu, L WenA dynamical model characterizing the spread of computer viruses over the Internet is established, in which two assumptions are imposed: (1) a computer possesses infectivity once it is infected, and (2) latent computers have a lower cure rate than seizing computers. The qualitative properties of this model are fully studied. First, the basic reproduction number, R0, for this model is determined. Second, by introducing appropriate Lyapunov functions, it is proved that the virus-free equilibrium is globally asymptotically stable if R0≤1, whereas the viral equilibrium is globally asymptotically stable if 1< R0≤4. Next, the sensitivity analysis of R0 to three system parameters is conducted, and the dependence of R0 on the remaining system parameters is investigated. On this basis, a set of policies is recommended for eradicating viruses spreading across the Internet effectively.
History
Journal
Nonlinear analysis: real world applicationsVolume
14Issue
1Pagination
414 - 422Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
1468-1218eISSN
1878-5719Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2012, ElsevierUsage metrics
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