A Stochastic Dynamic Model of Computer Viruses

作者:Zhang, Chunming; Zhao, Yun*; Wu, Yingjiang; Deng, Shuwen
来源:Discrete Dynamics in Nature and Society, 2012, 2012: 264874.
DOI:10.1155/2012/264874

摘要

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.

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