An Impulse Dynamic Model for Computer Worms
A worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than θ1. Moreover, we show that the system is uniformly persistent if the vaccination rate is less tha...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/286209 |
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| _version_ | 1832558738644402176 |
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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 | A worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than θ1. Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ1. Some numerical simulations are also given to illustrate our main results. |
| format | Article |
| id | doaj-art-8a85b210ff1c462d803fa8d69986def6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8a85b210ff1c462d803fa8d69986def62025-02-03T01:31:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/286209286209An Impulse Dynamic Model for Computer WormsChunming 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, ChinaA worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than θ1. Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ1. Some numerical simulations are also given to illustrate our main results.http://dx.doi.org/10.1155/2013/286209 |
| spellingShingle | Chunming Zhang Yun Zhao Yingjiang Wu An Impulse Dynamic Model for Computer Worms Abstract and Applied Analysis |
| title | An Impulse Dynamic Model for Computer Worms |
| title_full | An Impulse Dynamic Model for Computer Worms |
| title_fullStr | An Impulse Dynamic Model for Computer Worms |
| title_full_unstemmed | An Impulse Dynamic Model for Computer Worms |
| title_short | An Impulse Dynamic Model for Computer Worms |
| title_sort | impulse dynamic model for computer worms |
| url | http://dx.doi.org/10.1155/2013/286209 |
| work_keys_str_mv | AT chunmingzhang animpulsedynamicmodelforcomputerworms AT yunzhao animpulsedynamicmodelforcomputerworms AT yingjiangwu animpulsedynamicmodelforcomputerworms AT chunmingzhang impulsedynamicmodelforcomputerworms AT yunzhao impulsedynamicmodelforcomputerworms AT yingjiangwu impulsedynamicmodelforcomputerworms |