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Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis

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  • Kumari, Sangeeta
  • Upadhyay, Ranjit Kumar

Abstract

This paper aims to explore the behavior of malware propagation on mobile wireless sensor networks (MWSNs). A new malware propagation model with nonlinear incidence rate and sigmoid type removal rate is established, and its global stability, spatiotemporal stability, and optimal control are analyzed. Specifically, the theoretical analysis shows that (i) a forward transcritical bifurcation occurs when the basic reproduction number R0>1; (ii) time and space affect the spreading behavior of malware due to spatial distribution; (iii) the optimization technology can effectively control the malware spreading on MWSNs. Finally, some numerical simulations are performed to verify the obtained theoretical results, and the experimental results confirm that the generated patterns are consistent with the field observations of actual MWSNs. Our study helps in controlling the propagation of malware and applicable to design and prediction of the security and robustness of a sensor network.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:246-269
    DOI: 10.1016/j.matcom.2021.05.027
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    References listed on IDEAS

    as
    1. Avila-Vales, Eric & Pérez, Ángel G.C., 2019. "Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 55-69.
    2. repec:hin:complx:9876013 is not listed on IDEAS
    3. Upadhyay, Ranjit Kumar & Kumari, Sangeeta, 2018. "Detecting malicious chaotic signals in wireless sensor network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1129-1152.
    4. Muhammad Ozair & Abid Ali Lashari & Il Hyo Jung & Kazeem Oare Okosun, 2012. "Stability Analysis and Optimal Control of a Vector-Borne Disease with Nonlinear Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-21, November.
    5. 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.
    6. Takeshi Ishida, 2020. "Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, January.
    7. Zaman, Gul & Kang, Yong Han & Cho, Giphil & Jung, Il Hyo, 2017. "Optimal strategy of vaccination & treatment in an SIR epidemic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 136(C), pages 63-77.
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    Cited by:

    1. A. Martín del Rey, 2023. "Design and Analysis of an Individual-Based Model for Malware Propagation on IoT Networks," Mathematics, MDPI, vol. 12(1), pages 1-19, December.
    2. P. Winkler & J. Zeininger & M. Raab & Y. Suchorski & A. Steiger-Thirsfeld & M. Stöger-Pollach & M. Amati & L. Gregoratti & H. Grönbeck & G. Rupprechter, 2021. "Coexisting multi-states in catalytic hydrogen oxidation on rhodium," Nature Communications, Nature, vol. 12(1), pages 1-8, December.

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