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Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks

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  • Zizhen Zhang
  • Huizhong Yang

Abstract

This paper is devoted to the study of an SIRS computer virus propagation model with two delays and multistate antivirus measures. We demonstrate that the system loses its stability and a Hopf bifurcation occurs when the delay passes through the corresponding critical value by choosing the possible combination of the two delays as the bifurcation parameter. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by means of the center manifold theorem and the normal form theory. Finally, some numerical simulations are performed to illustrate the obtained results.

Suggested Citation

  • Zizhen Zhang & Huizhong Yang, 2015. "Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:280856
    DOI: 10.1155/2015/280856
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