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Propagation of Computer Virus under Human Intervention: A Dynamical Model

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  • Chenquan Gan
  • Xiaofan Yang
  • Wanping Liu
  • Qingyi Zhu
  • Xulong Zhang

Abstract

This paper examines the propagation behavior of computer virus under human intervention. A dynamical model describing the spread of computer virus, under which a susceptible computer can become recovered directly and an infected computer can become susceptible directly, is proposed. Through a qualitative analysis of this model, it is found that the virus-free equilibrium is globally asymptotically stable when the basic reproduction number 𠑅 0 ≤ 1 , whereas the viral equilibrium is globally asymptotically stable if 𠑅 0 > 1 . Based on these results and a parameter analysis, some appropriate measures for eradicating the spread of computer virus across the Internet are recommended.

Suggested Citation

  • Chenquan Gan & Xiaofan Yang & Wanping Liu & Qingyi Zhu & Xulong Zhang, 2012. "Propagation of Computer Virus under Human Intervention: A Dynamical Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-8, July.
    • Handle: RePEc:hin:jnddns:106950
    DOI: 10.1155/2012/106950
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    References listed on IDEAS

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    1. Vargas-De-León, Cruz, 2011. "On the global stability of SIS, SIR and SIRS epidemic models with standard incidence," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1106-1110.
    2. Ren, Jianguo & Yang, Xiaofan & Yang, Lu-Xing & Xu, Yonghong & Yang, Fanzhou, 2012. "A delayed computer virus propagation model and its dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 74-79.
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    Cited by:

    1. Magagula, Vusi Mpendulo & Mungwe, S’yanda Nkanyiso, 2021. "Stability analysis of a virulent code in a network of computers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 296-315.
    2. 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).
    3. Hu, Zhixing & Wang, Hongwei & Liao, Fucheng & Ma, Wanbiao, 2015. "Stability analysis of a computer virus model in latent period," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 20-28.

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