Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy

Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy

The issue on how to effectively control Internet malicious worms has been drawn significant attention owing to enormous threats to the Internet. Due to the rapid spreading of malicious worms, it is necessary to explore the integrated measures to automatically mitigate the propagation on the Internet...

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Main Authors: Jiying Lai, Shujing Gao, Yujiang Liu, Xinzhu Meng
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/3578390
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spelling doaj-f72c7902ea3e44918f8fcc93e17e1a412020-11-25T01:32:05ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/35783903578390Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine StrategyJiying Lai0Shujing Gao1Yujiang Liu2Xinzhu Meng3Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThe issue on how to effectively control Internet malicious worms has been drawn significant attention owing to enormous threats to the Internet. Due to the rapid spreading of malicious worms, it is necessary to explore the integrated measures to automatically mitigate the propagation on the Internet. In this paper, a novel worm propagation model is established, which combines both impulsive quarantine and benign worm implementation. Then, sufficient conditions for the global stability of worm-free periodic solution and the permanence of the benign worm are obtained. Finally, the effects of quarantine strategy are assessed and some feasible strategies that can constrain the propagation of malicious worm are provided by numerical simulation.http://dx.doi.org/10.1155/2020/3578390
collection DOAJ
language English
format Article
sources DOAJ
author Jiying Lai
Shujing Gao
Yujiang Liu
Xinzhu Meng
spellingShingle Jiying Lai
Shujing Gao
Yujiang Liu
Xinzhu Meng
Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
Complexity
author_facet Jiying Lai
Shujing Gao
Yujiang Liu
Xinzhu Meng
author_sort Jiying Lai
title Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
title_short Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
title_full Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
title_fullStr Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
title_full_unstemmed Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy
title_sort impulsive switching epidemic model with benign worm defense and quarantine strategy
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description The issue on how to effectively control Internet malicious worms has been drawn significant attention owing to enormous threats to the Internet. Due to the rapid spreading of malicious worms, it is necessary to explore the integrated measures to automatically mitigate the propagation on the Internet. In this paper, a novel worm propagation model is established, which combines both impulsive quarantine and benign worm implementation. Then, sufficient conditions for the global stability of worm-free periodic solution and the permanence of the benign worm are obtained. Finally, the effects of quarantine strategy are assessed and some feasible strategies that can constrain the propagation of malicious worm are provided by numerical simulation.
url http://dx.doi.org/10.1155/2020/3578390
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AT shujinggao impulsiveswitchingepidemicmodelwithbenignwormdefenseandquarantinestrategy
AT yujiangliu impulsiveswitchingepidemicmodelwithbenignwormdefenseandquarantinestrategy
AT xinzhumeng impulsiveswitchingepidemicmodelwithbenignwormdefenseandquarantinestrategy
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