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A Stochastic Dynamic Model of Computer Viruses

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  • Chunming Zhang
  • Yun Zhao
  • Yingjiang Wu
  • Shuwen Deng

Abstract

A stochastic computer virus spread model is proposed and its dynamic behavior is fully investigated. Specifically, we prove the existence and uniqueness of positive solutions, and the stability of the virus-free equilibrium and viral equilibrium by constructing Lyapunov functions and applying Ito's formula. Some numerical simulations are finally given to illustrate our main results.

Suggested Citation

  • Chunming Zhang & Yun Zhao & Yingjiang Wu & Shuwen Deng, 2012. "A Stochastic Dynamic Model of Computer Viruses," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, August.
    • Handle: RePEc:hin:jnddns:264874
    DOI: 10.1155/2012/264874
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    Cited by:

    1. Zizhen Zhang & Soumen Kundu & Ruibin Wei, 2019. "A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network," Mathematics, MDPI, vol. 7(5), pages 1-18, May.

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