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Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks

Author

Listed:
  • Guiyun Liu

    (School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China)

  • Junqiang Li

    (School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China)

  • Zhongwei Liang

    (School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China)

  • Zhimin Peng

    (School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China)

Abstract

The traditional SIRS virus propagation model is used to analyze the malware propagation behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: the low-energy status nodes. The SIRS-L model has been developed in this article. Furthermore, the influence of time delay during the charging behavior of the low-energy status nodes needs to be considered. Hopf bifurcation is studied by discussing the time delay that is chosen as the bifurcation parameter. Finally, the properties of the Hopf bifurcation are explored by applying the normal form theory and the center manifold theorem.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2007-:d:619244
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    References listed on IDEAS

    as
    1. Farrah Kristel Batista & Angel Martín del Rey & Araceli Queiruga-Dios, 2020. "A New Individual-Based Model to Simulate Malware Propagation in Wireless Sensor Networks," Mathematics, MDPI, vol. 8(3), pages 1-23, March.
    2. Guiyun Liu & Baihao Peng & Xiaojing Zhong & Xuejing Lan, 2020. "Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model," Complexity, Hindawi, vol. 2020, pages 1-13, July.
    3. Zhu, Linhe & Guan, Gui, 2019. "Dynamical analysis of a rumor spreading model with self-discrimination and time delay in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    4. 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.
    Full references (including those not matched with items on IDEAS)

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