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Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network

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  • Zizhen Zhang
  • Huizhong Yang

Abstract

A delayed SEIRS epidemic model with vertical transmission in computer network is considered. Sufficient conditions for local stability of the positive equilibrium and existence of local Hopf bifurcation are obtained by analyzing distribution of the roots of the associated characteristic equation. Furthermore, the direction of the local Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by using the normal form theory and center manifold theorem. Finally, a numerical example is presented to verify the theoretical analysis.

Suggested Citation

  • Zizhen Zhang & Huizhong Yang, 2013. "Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, November.
    • Handle: RePEc:hin:jnlmpe:319174
    DOI: 10.1155/2013/319174
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    Cited by:

    1. Yingying Su & Zijing Qiu & Guiyun Liu & Zhongwei Liang, 2022. "Optimal Control of PC-PLC Virus-Mutation and Multi-Delay Propagation Model in Distribution Network CPS," Mathematics, MDPI, vol. 10(16), pages 1-24, August.

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