The impact of patch forwarding on the prevalence of computer virus: A theoretical assessment approach

Lu Xing Yang, Xiaofan Yang, Yingbo Wu

Research output: Contribution to journalArticleScientificpeer-review

66 Citations (Scopus)

Abstract

Virus patches can be disseminated rapidly through computer networks and take effect as soon as they have been installed, which significantly enhances their virus-containing capability. This paper aims to theoretically assess the impact of patch forwarding on the prevalence of computer virus. For that purpose, a new malware epidemic model, which takes into full account the influence of patch forwarding, is proposed. The dynamics of the model is revealed. Specifically, besides the permanent susceptible equilibrium, this model may admit an infected or a patched or a mixed equilibrium. Criteria for the global stability of the four equilibria are given, respectively, accompanied with numerical examples. The obtained results show that the spectral radii of the patch-forwarding network and the virus-spreading network both have a marked impact on the prevalence of computer virus. The influence of some key factors on the prevalence of virus is also revealed. Based on these findings, some strategies of containing electronic virus are recommended.

Original languageEnglish
Pages (from-to)110-125
Number of pages16
JournalApplied Mathematical Modelling
Volume43
DOIs
Publication statusPublished - 2017

Keywords

  • Computer virus
  • Equilibrium
  • Global stability
  • Node-level epidemic model
  • Spectral radius
  • Virus patch

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