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Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network

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  • Zizhen Zhang
  • Yougang Wang

Abstract

Hopf bifurcation for an SEIRS-V model with delays on the transmission of worms in a wireless sensor network is investigated. We focus on existence of the Hopf bifurcation by regarding the diverse delay as a bifurcation parameter. The results show that propagation of worms in the wireless sensor network can be controlled when the delay is suitably small under some certain conditions. Then, we study properties of the Hopf bifurcation by using the normal form theory and center manifold theorem. Finally, we give a numerical example to support the theoretical results.

Suggested Citation

  • Zizhen Zhang & Yougang Wang, 2017. "Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:9898726
    DOI: 10.1155/2017/9898726
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    Cited by:

    1. Guiyun Liu & Junqiang Li & Zhongwei Liang & Zhimin Peng, 2021. "Analysis of Time-Delay Epidemic Model in Rechargeable Wireless Sensor Networks," Mathematics, MDPI, vol. 9(9), pages 1-19, April.
    2. Guiyun Liu & Junqiang Li & Zhongwei Liang & Zhimin Peng, 2021. "Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks," Mathematics, MDPI, vol. 9(16), pages 1-21, August.

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