A novel computer virus propagation model and its dynamics

Lu Xing Yang, Xiaofan Yang*, Luosheng Wen, Jiming LIU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

71 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2307-2314
Number of pages8
JournalInternational Journal of Computer Mathematics
Volume89
Issue number17
DOIs
Publication statusPublished - 1 Nov 2012

Scopus Subject Areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Computer virus
  • Equilibrium
  • Global asymptotic stability
  • SLBS model
  • Virus propagation model

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