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A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

Author

Listed:
  • Zizhen Zhang

    (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China)

  • Soumen Kundu

    (Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India)

  • Ruibin Wei

    (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China)

Abstract

In this paper, we investigate a delayed SEIQRS-V epidemic model for propagation of malicious codes in a wireless sensor network. The communication radius and distributed density of nodes is considered in the proposed model. With this model, first we find a feasible region which is invariant and where the solutions of our model are positive. To show that the system is locally asymptotically stable, a Lyapunov function is constructed. After that, sufficient conditions for local stability and existence of Hopf bifurcation are derived by analyzing the distribution of the roots of the corresponding characteristic equation. Finally, numerical simulations are presented to verify the obtained theoretical results and to analyze the effects of some parameters on the dynamical behavior of the proposed model in the paper.

Suggested Citation

  • Zizhen Zhang & Soumen Kundu & Ruibin Wei, 2019. "A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network," Mathematics, MDPI, vol. 7(5), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:396-:d:227568
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    References listed on IDEAS

    as
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    Cited by:

    1. Rajeev Kumar Shakya & Tadesse Hailu Ayane & Feyissa Debo Diba & Pushpa Mamoria, 2022. "SEIRS model with spatial correlation for analyzing dynamic of virus spreading in event-driven wireless sensor networks," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 752-760, April.

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