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A Novel Virus-Patch Dynamic Model

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  • Lu-Xing Yang
  • Xiaofan Yang

Abstract

The distributed patch dissemination strategies are a promising alternative to the conventional centralized patch dissemination strategies. This paper aims to establish a theoretical framework for evaluating the effectiveness of distributed patch dissemination mechanism. Assuming that the Internet offers P2P service for every pair of nodes on the network, a dynamic model capturing both the virus propagation mechanism and the distributed patch dissemination mechanism is proposed. This model takes into account the infected removable storage media and hence captures the interaction of patches with viruses better than the original SIPS model. Surprisingly, the proposed model exhibits much simpler dynamic properties than the original SIPS model. Specifically, our model admits only two potential (viral) equilibria and undergoes a fold bifurcation. The global stabilities of the two equilibria are determined. Consequently, the dynamical properties of the proposed model are fully understood. Furthermore, it is found that reducing the probability per unit time of disconnecting a node from the Internet benefits the containment of electronic viruses.

Suggested Citation

  • Lu-Xing Yang & Xiaofan Yang, 2015. "A Novel Virus-Patch Dynamic Model," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-16, September.
  • Handle: RePEc:plo:pone00:0137858
    DOI: 10.1371/journal.pone.0137858
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    Cited by:

    1. Yingbo Wu & Tianrui Zhang & Shan Chen & Tianhui Wang, 2017. "The Minimum Spectral Radius of an Edge-Removed Network: A Hypercube Perspective," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-8, April.
    2. Kim, Kwang Su & Ibrahim, Malik Muhammad & Jung, Il Hyo & Kim, Sangil, 2020. "Mathematical analysis of the effectiveness of control strategies to prevent the autorun virus transmission propagation," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    3. Hailu Yang & Deyun Chen & Guanglu Sun & Xiaoyu Ding & Yu Xin, 2019. "CC 2 : Defending Hybrid Worm on Mobile Networks with Two-Dimensional Circulation Control," Complexity, Hindawi, vol. 2019, pages 1-19, December.

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