An Impulse Model for Computer Viruses
Computer virus spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive infection-free periodic solution when the vaccination rate is larger than θ0. Moreover, we show that the system is uniformly persistent if the vaccination rate...
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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/10.1155/2012/260962 |
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| _version_ | 1832551698963365888 |
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| author | Chunming Zhang Yun Zhao Yingjiang Wu |
| author_facet | Chunming Zhang Yun Zhao Yingjiang Wu |
| author_sort | Chunming Zhang |
| collection | DOAJ |
| description | Computer virus spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive infection-free periodic solution when the vaccination rate is larger than θ0. Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ1. Some numerical simulations are finally given to illustrate the main results. |
| format | Article |
| id | doaj-art-c19fd2fc10814684b08db7a462da15ed |
| 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-c19fd2fc10814684b08db7a462da15ed2025-02-03T06:00:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/260962260962An Impulse Model for Computer VirusesChunming Zhang0Yun Zhao1Yingjiang Wu2School 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, ChinaComputer virus spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive infection-free periodic solution when the vaccination rate is larger than θ0. Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ1. Some numerical simulations are finally given to illustrate the main results.http://dx.doi.org/10.1155/2012/260962 |
| spellingShingle | Chunming Zhang Yun Zhao Yingjiang Wu An Impulse Model for Computer Viruses Discrete Dynamics in Nature and Society |
| title | An Impulse Model for Computer Viruses |
| title_full | An Impulse Model for Computer Viruses |
| title_fullStr | An Impulse Model for Computer Viruses |
| title_full_unstemmed | An Impulse Model for Computer Viruses |
| title_short | An Impulse Model for Computer Viruses |
| title_sort | impulse model for computer viruses |
| url | http://dx.doi.org/10.1155/2012/260962 |
| work_keys_str_mv | AT chunmingzhang animpulsemodelforcomputerviruses AT yunzhao animpulsemodelforcomputerviruses AT yingjiangwu animpulsemodelforcomputerviruses AT chunmingzhang impulsemodelforcomputerviruses AT yunzhao impulsemodelforcomputerviruses AT yingjiangwu impulsemodelforcomputerviruses |