A Stochastic Dynamic Model of Computer Viruses

Chunming Zhang, Yun Zhao, Yingjiang Wu and Shuwen Deng

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-16

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:264874

DOI: 10.1155/2012/264874

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