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Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period

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  • Zizhen Zhang
  • Dianjie Bi

Abstract

A delayed SLB computer virus propagation model with infectivity in latent period is proposed in this paper. We establish sufficient conditions for local stability of the positive equilibrium and existence of Hopf bifurcation by analyzing distribution of the roots of the associated characteristic equation and applying the Hopf bifurcation theorem. Furthermore, properties of the Hopf bifurcation are determined by using the normal form theory and the center manifold theorem. Finally, numerical simulations supporting the theoretical analysis are carried out.

Suggested Citation

  • Zizhen Zhang & Dianjie Bi, 2016. "Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-9, December.
    • Handle: RePEc:hin:jnddns:3067872
    DOI: 10.1155/2016/3067872
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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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