A Stochastic Dynamic Model of Computer Viruses

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�...

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Main Authors: Chunming Zhang, Yun Zhao, Yingjiang Wu, Shuwen Deng
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/264874
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author Chunming Zhang
Yun Zhao
Yingjiang Wu
Shuwen Deng
author_facet Chunming Zhang
Yun Zhao
Yingjiang Wu
Shuwen Deng
author_sort Chunming Zhang
collection DOAJ
description 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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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-250def5fe80c44628d2e7faa2e30148a2025-02-03T05:45:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/264874264874A Stochastic Dynamic Model of Computer VirusesChunming Zhang0Yun Zhao1Yingjiang Wu2Shuwen Deng3School of Information Engineering, Guangdong Medical College, Dongguan 523808, ChinaSchool of Information Engineering, Guangdong Medical College, Dongguan 523808, ChinaSchool of Information Engineering, Guangdong Medical College, Dongguan 523808, ChinaSchool of Information Engineering, Guangdong Medical College, Dongguan 523808, ChinaA 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.http://dx.doi.org/10.1155/2012/264874
spellingShingle Chunming Zhang
Yun Zhao
Yingjiang Wu
Shuwen Deng
A Stochastic Dynamic Model of Computer Viruses
Discrete Dynamics in Nature and Society
title A Stochastic Dynamic Model of Computer Viruses
title_full A Stochastic Dynamic Model of Computer Viruses
title_fullStr A Stochastic Dynamic Model of Computer Viruses
title_full_unstemmed A Stochastic Dynamic Model of Computer Viruses
title_short A Stochastic Dynamic Model of Computer Viruses
title_sort stochastic dynamic model of computer viruses
url http://dx.doi.org/10.1155/2012/264874
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AT yingjiangwu astochasticdynamicmodelofcomputerviruses
AT shuwendeng astochasticdynamicmodelofcomputerviruses
AT chunmingzhang stochasticdynamicmodelofcomputerviruses
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