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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/264874 |
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| _version_ | 1832556318689329152 |
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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. |
| format | Article |
| id | doaj-art-250def5fe80c44628d2e7faa2e30148a |
| 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 |
| work_keys_str_mv | AT chunmingzhang astochasticdynamicmodelofcomputerviruses AT yunzhao astochasticdynamicmodelofcomputerviruses AT yingjiangwu astochasticdynamicmodelofcomputerviruses AT shuwendeng astochasticdynamicmodelofcomputerviruses AT chunmingzhang stochasticdynamicmodelofcomputerviruses AT yunzhao stochasticdynamicmodelofcomputerviruses AT yingjiangwu stochasticdynamicmodelofcomputerviruses AT shuwendeng stochasticdynamicmodelofcomputerviruses |