Propagation of Computer Virus under Human Intervention: A Dynamical Model
This paper examines the propagation behavior of computer virus under human intervention. A dynamical model describing the spread of computer virus, under which a susceptible computer can become recovered directly and an infected computer can become susceptible directly, is proposed. Through a qualit...
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Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2012/106950 |
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author | Chenquan Gan Xiaofan Yang Wanping Liu Qingyi Zhu Xulong Zhang |
author_facet | Chenquan Gan Xiaofan Yang Wanping Liu Qingyi Zhu Xulong Zhang |
author_sort | Chenquan Gan |
collection | DOAJ |
description | This paper examines the propagation behavior of computer virus under human intervention. A dynamical model describing the spread of computer virus, under which a susceptible computer can become recovered directly and an infected computer can become susceptible directly, is proposed. Through a qualitative analysis of this model, it is found that the virus-free equilibrium is globally asymptotically stable when the basic reproduction number R0≤1, whereas the viral equilibrium is globally asymptotically stable if R0>1. Based on these results and a parameter analysis, some appropriate measures for eradicating the spread of computer virus across the Internet are recommended. |
format | Article |
id | doaj-art-6da71bdaacfa4f38bc49a01ed0893263 |
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-6da71bdaacfa4f38bc49a01ed08932632025-02-03T01:26:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/106950106950Propagation of Computer Virus under Human Intervention: A Dynamical ModelChenquan Gan0Xiaofan Yang1Wanping Liu2Qingyi Zhu3Xulong Zhang4College of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaThis paper examines the propagation behavior of computer virus under human intervention. A dynamical model describing the spread of computer virus, under which a susceptible computer can become recovered directly and an infected computer can become susceptible directly, is proposed. Through a qualitative analysis of this model, it is found that the virus-free equilibrium is globally asymptotically stable when the basic reproduction number R0≤1, whereas the viral equilibrium is globally asymptotically stable if R0>1. Based on these results and a parameter analysis, some appropriate measures for eradicating the spread of computer virus across the Internet are recommended.http://dx.doi.org/10.1155/2012/106950 |
spellingShingle | Chenquan Gan Xiaofan Yang Wanping Liu Qingyi Zhu Xulong Zhang Propagation of Computer Virus under Human Intervention: A Dynamical Model Discrete Dynamics in Nature and Society |
title | Propagation of Computer Virus under Human Intervention: A Dynamical Model |
title_full | Propagation of Computer Virus under Human Intervention: A Dynamical Model |
title_fullStr | Propagation of Computer Virus under Human Intervention: A Dynamical Model |
title_full_unstemmed | Propagation of Computer Virus under Human Intervention: A Dynamical Model |
title_short | Propagation of Computer Virus under Human Intervention: A Dynamical Model |
title_sort | propagation of computer virus under human intervention a dynamical model |
url | http://dx.doi.org/10.1155/2012/106950 |
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