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Modeling Computer Virus and Its Dynamics

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Listed:
  • Mei Peng
  • Xing He
  • Junjian Huang
  • Tao Dong

Abstract

Based on that the computer will be infected by infected computer and exposed computer, and some of the computers which are in suscepitible status and exposed status can get immunity by antivirus ability, a novel coumputer virus model is established. The dynamic behaviors of this model are investigated. First, the basic reproduction number , which is a threshold of the computer virus spreading in internet, is determined. Second, this model has a virus-free equilibrium , which means that the infected part of the computer disappears, and the virus dies out, and is a globally asymptotically stable equilibrium if . Third, if then this model has only one viral equilibrium , which means that the computer persists at a constant endemic level, and is also globally asymptotically stable. Finally, some numerical examples are given to demonstrate the analytical results.

Suggested Citation

  • Mei Peng & Xing He & Junjian Huang & Tao Dong, 2013. "Modeling Computer Virus and Its Dynamics," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-5, June.
    • Handle: RePEc:hin:jnlmpe:842614
    DOI: 10.1155/2013/842614
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    Cited by:

    1. Akgül, Ali & Fatima, Umbreen & Iqbal, Muhammad Sajid & Ahmed, Nauman & Raza, Ali & Iqbal, Zafar & Rafiq, Muhammad, 2021. "A fractal fractional model for computer virus dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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