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A novel computer virus propagation model and its dynamics

journal contribution
posted on 2012-11-01, 00:00 authored by Luxing YangLuxing Yang, X Yang, L Wen, J Liu
By taking into account the fact that, in general, a computer immediately possesses infectivity as soon as it is infected, a novel computer virus propagation model, known as the SLBS model, is established. It is proved that the dynamic behaviour of the model is determined by a threshold R0. Specifically, the virus-free equilibrium is globally asymptotically stable if R0≤ 1, whereas the virulent equilibrium is globally asymptotically stable if 1 < R0≤ 4. It is conjectured that the virulent equilibrium is also globally asymptotically stable if R0> 4. These results suggest some effective strategies for eradicating computer viruses distributed in the Internet.

History

Journal

International Journal of Computer Mathematics

Volume

89

Issue

17

Pagination

2307 - 2314

Publisher

Taylor & Francis

Location

Abingdon, Eng.

ISSN

0020-7160

eISSN

1029-0265

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2012, Taylor & Francis