State feedback impulsive control of computer worm and virus with saturated incidence
A state feedback impulsive model is set up to discuss the spreading and control of the computer worm and virus. Considering the transmission features, saturated infectious is adopted to describe the spreading in the model, and all the treatment measures, such as patching operating system and updatin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018067 |
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| _version_ | 1832590031247638528 |
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| author | Meng Zhang Kaiyuan Liu Lansun Chen Zeyu Li |
| author_facet | Meng Zhang Kaiyuan Liu Lansun Chen Zeyu Li |
| author_sort | Meng Zhang |
| collection | DOAJ |
| description | A state feedback impulsive model is set up to discuss the spreading and control of the computer worm and virus. Considering the transmission features, saturated infectious is adopted to describe the spreading in the model, and all the treatment measures, such as patching operating system and updating antivirus software, are assumed to take effect instantly. Then the model is analyzed with a novel method, and the existence and stability of order-1 limit cycle are discussed. Finally, the numerical simulation is listed to verify the result of the paper. |
| format | Article |
| id | doaj-art-2647568952804408ae3afbc4d2c0778c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2647568952804408ae3afbc4d2c0778c2025-01-24T02:41:08ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-11-011561465147810.3934/mbe.2018067State feedback impulsive control of computer worm and virus with saturated incidenceMeng Zhang0Kaiyuan Liu1Lansun Chen2Zeyu Li3School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaAnshan Normal University, Anshan 114007, ChinaAcademy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, ChinaCanvard College, Beijing Technology and Business University, Beijing 101118, ChinaA state feedback impulsive model is set up to discuss the spreading and control of the computer worm and virus. Considering the transmission features, saturated infectious is adopted to describe the spreading in the model, and all the treatment measures, such as patching operating system and updating antivirus software, are assumed to take effect instantly. Then the model is analyzed with a novel method, and the existence and stability of order-1 limit cycle are discussed. Finally, the numerical simulation is listed to verify the result of the paper.https://www.aimspress.com/article/doi/10.3934/mbe.2018067computer wormcomputer virusstate feedbacksaturated incidencelimit cycle |
| spellingShingle | Meng Zhang Kaiyuan Liu Lansun Chen Zeyu Li State feedback impulsive control of computer worm and virus with saturated incidence Mathematical Biosciences and Engineering computer worm computer virus state feedback saturated incidence limit cycle |
| title | State feedback impulsive control of computer worm and virus with saturated incidence |
| title_full | State feedback impulsive control of computer worm and virus with saturated incidence |
| title_fullStr | State feedback impulsive control of computer worm and virus with saturated incidence |
| title_full_unstemmed | State feedback impulsive control of computer worm and virus with saturated incidence |
| title_short | State feedback impulsive control of computer worm and virus with saturated incidence |
| title_sort | state feedback impulsive control of computer worm and virus with saturated incidence |
| topic | computer worm computer virus state feedback saturated incidence limit cycle |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018067 |
| work_keys_str_mv | AT mengzhang statefeedbackimpulsivecontrolofcomputerwormandviruswithsaturatedincidence AT kaiyuanliu statefeedbackimpulsivecontrolofcomputerwormandviruswithsaturatedincidence AT lansunchen statefeedbackimpulsivecontrolofcomputerwormandviruswithsaturatedincidence AT zeyuli statefeedbackimpulsivecontrolofcomputerwormandviruswithsaturatedincidence |