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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 Wen
A 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 applications

Volume

14

Issue

1

Pagination

414 - 422

Publisher

Elsevier

Location

Amsterdam, The Netherlands

ISSN

1468-1218

eISSN

1878-5719

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2012, Elsevier

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