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A mathematical model for malware spread on WSNs with population dynamics

Author

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  • Hernández Guillén, J.D.
  • Martín del Rey, A.

Abstract

The aim of this work is to describe and analyze a new theoretical model to simulate the spread of malicious code on wireless sensor networks. Specifically, this is a SCIRS model such that population dynamics, and vaccination and reinfection processes are considered. The local and global stability of the equilibrium points are studied and the most important security countermeasures are explicitly shown by means of the analysis of the epidemic threshold.

Suggested Citation

  • Hernández Guillén, J.D. & Martín del Rey, A., 2020. "A mathematical model for malware spread on WSNs with population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320138
    DOI: 10.1016/j.physa.2019.123609
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    References listed on IDEAS

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    1. Kharchenko, Dmitrii O. & Kharchenko, Vasyl O. & Bashtova, Anna I. & Lysenko, Irina O., 2016. "Patterning and pattern selection in a surface layer: Feedback between point defects population and surface layer temperature variations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 152-162.
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    3. Maobin Yang & Zhufan Zhang & Qiang Li & Gang Zhang, 2012. "An SLBRS Model with Vertical Transmission of Computer Virus over the Internet," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-17, September.
    4. Li, Li & Zhang, Jie & Liu, Chen & Zhang, Hong-Tao & Wang, Yi & Wang, Zhen, 2019. "Analysis of transmission dynamics for Zika virus on networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 566-577.
    5. Li, Li, 2015. "Patch invasion in a spatial epidemic model," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 342-349.
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    Cited by:

    1. 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).

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