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Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate

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  • Zizhen Zhang
  • Limin Song

Abstract

A four-compartment computer virus propagation model with two delays and graded infection rate is investigated in this paper. The critical values where a Hopf bifurcation occurs are obtained by analyzing the distribution of eigenvalues of the corresponding characteristic equation. In succession, direction and stability of the Hopf bifurcation when the two delays are not equal are determined by using normal form theory and center manifold theorem. Finally, some numerical simulations are also carried out to justify the obtained theoretical results.

Suggested Citation

  • Zizhen Zhang & Limin Song, 2017. "Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-13, January.
    • Handle: RePEc:hin:jnlamp:4514935
    DOI: 10.1155/2017/4514935
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