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Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay

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  • Zizhen Zhang
  • Huizhong Yang

Abstract

A delayed SIQR computer virus model is considered. It has been observed that there exists a critical value of delay for the stability of virus prevalence by choosing the delay as a bifurcation parameter. Furthermore, the properties of the Hopf bifurcation such as direction and stability are investigated by using the normal form method and center manifold theory. Finally, some numerical simulations for supporting our theoretical results are also performed.

Suggested Citation

  • Zizhen Zhang & Huizhong Yang, 2015. "Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, January.
    • Handle: RePEc:hin:jnddns:101874
    DOI: 10.1155/2015/101874
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    References listed on IDEAS

    as
    1. Tao Dong & Xiaofeng Liao & Huaqing Li, 2012. "Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, April.
    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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