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An Impulse Model for Computer Viruses

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  • Chunming Zhang
  • Yun Zhao
  • Yingjiang Wu

Abstract

Computer virus spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive infection-free periodic solution when the vaccination rate is larger than . Moreover, we show that the system is uniformly persistent if the vaccination rate is less than . Some numerical simulations are finally given to illustrate the main results.

Suggested Citation

  • Chunming Zhang & Yun Zhao & Yingjiang Wu, 2012. "An Impulse Model for Computer Viruses," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-13, July.
    • Handle: RePEc:hin:jnddns:260962
    DOI: 10.1155/2012/260962
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    Cited by:

    1. 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).

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