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Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network

Author

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  • Liping Feng
  • Lipeng Song
  • Qingshan Zhao
  • Hongbin Wang

Abstract

An improved SIRS model considering communication radius and distributed density of nodes is proposed. The proposed model captures both the spatial and temporal dynamics of worms spread process. Using differential dynamical theories, we investigate dynamics of worm propagation to time in wireless sensor networks (WSNs). Reproductive number which determines global dynamics of worm propagation in WSNs is obtained. Equilibriums and their stabilities are also found. If reproductive number is less than one, the infected fraction of the sensor nodes disappears and if the reproduction number is greater than one, the infected fraction asymptotically stabilizes at the endemic equilibrium. Based on the reproduction number, we discuss the threshold of worm propagation about communication radius and distributed density of nodes in WSNs. Finally, numerical simulations verify the correctness of theoretical analysis.

Suggested Citation

  • Liping Feng & Lipeng Song & Qingshan Zhao & Hongbin Wang, 2015. "Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, September.
    • Handle: RePEc:hin:jnlmpe:129598
    DOI: 10.1155/2015/129598
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    Cited by:

    1. 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.
    2. 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.
    3. Wu, Yanqing & Pu, Cunlai & Zhang, Gongxuan & Li, Lunbo & Xia, Yongxiang & Xia, Chengyi, 2023. "Epidemic spreading in wireless sensor networks with node sleep scheduling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    4. Kumari, Sangeeta & Upadhyay, Ranjit Kumar, 2021. "Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 246-269.
    5. Guiyun Liu & Zhimin Peng & Zhongwei Liang & Xiaojing Zhong & Xinhai Xia, 2022. "Analysis and Control of Malware Mutation Model in Wireless Rechargeable Sensor Network with Charging Delay," Mathematics, MDPI, vol. 10(14), pages 1-28, July.

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