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Optimal Control of Malware Spreading Model with Tracing and Patching in Wireless Sensor Networks

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Abstract

Wireless sensor networks (WSNs), which emerge from an un-attended environment monitoring, are deployed for monitoring purposes in different environments. But, WSNs suffer from vulnerable malware to propagate via exploiting message exchange among the sensor nodes. To draw attention to this issue, this paper investigates an optimal control strategy to reduce the spread of malware in wireless sensor networks. A node-based epidemic model Susceptible-Infected-Traced-Patched-Susceptible is analyzed. The optimal control strategies are analytically investigated. The proposed optimal strategy achieves a low level of infections at a low cost. Finally, numerical illustrations are presented to show the spread of malware through infected nodes which can be effectively suppressed by adopting the suitable optimal control strategy.

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Acknowledgements

The authors would like to thank the Editor-in-Chief and anonymous referees for the various suggestions which have led to an improvement in both the quality of this paper.

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Authors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, India

    Senthilkumar Muthukrishnan

  2. Department of Mathematics, PSG College of Technology, Coimbatore, India

    Sumathi Muthukumar

  3. Department of Applied Science (Mathematics), PSG College of Technology, Coimbatore, India

    Veeramani Chinnadurai

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  1. Senthilkumar Muthukrishnan
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  2. Sumathi Muthukumar
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  3. Veeramani Chinnadurai
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Correspondence to Sumathi Muthukumar.

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Muthukrishnan, S., Muthukumar, S. & Chinnadurai, V. Optimal Control of Malware Spreading Model with Tracing and Patching in Wireless Sensor Networks. Wireless Pers Commun 117, 2061–2083 (2021). https://doi.org/10.1007/s11277-020-07959-y

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  • DOI: https://doi.org/10.1007/s11277-020-07959-y

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