Investigation of dynamics of a virus-antivirus model in complex network

Jianguo Ren*, Yonghong Xu, Jiming Liu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

17 Citations (Scopus)


In this paper, a new model of computer virus-antivirus propagation dynamics based on the topology nature of the Internet is established. We analyze theoretically the complex dynamics of the model and it is found that, unlike the existing models, the model admits two virus-free equilibria and possesses possibly two virus equilibria: one being antivirus-independent and the other being antivirus-dependent. Furthermore, the stability of virus-free equilibria is analyzed via a threshold value associated with the topology of the Internet and the model parameters. It is established that, if the threshold value is less than or equal to the unity, the virus-free equilibria are alternatively globally attractive, resulting in virus eradication, while if the threshold value is greater than unity, the antivirus-independent virus equilibrium is globally asymptotically stable, leading to virus diffusion, while the antivirus-dependent virus equilibrium also is globally asymptotically stable. Some numerical examples are presented to illustrate the analytical results.

Original languageEnglish
Pages (from-to)533-540
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
Publication statusPublished - 1 Mar 2015

Scopus Subject Areas

  • Statistics and Probability
  • Condensed Matter Physics

User-Defined Keywords

  • Complex networks
  • Computer virus
  • Dynamics
  • Virus-antivirus model


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