A Stochastic Dynamic Model of Computer Viruses | Zendy

Chunming Zhang | Zendy; Yun Zhao | Zendy; Yingjiang Wu | Zendy; Shuwen Deng | Zendy

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A Stochastic Dynamic Model of Computer Viruses

Author(s) -

Chunming Zhang,

Yun Zhao,

Yingjiang Wu,

Shuwen Deng

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/264874

Subject(s) - uniqueness , lyapunov function , mathematics , stability (learning theory) , computer science , computer virus , statistical physics , mathematical analysis , physics , nonlinear system , computer security , quantum mechanics , machine learning

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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