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: Chenquan Gan, Xiaofan Yang, Wanping Liu, Qingyi Zhu, Xulong Zhang
Format: Article
Language:English
Published: Wiley 2012-01-01
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
work_keys_str_mv AT chenquangan propagationofcomputervirusunderhumaninterventionadynamicalmodel
AT xiaofanyang propagationofcomputervirusunderhumaninterventionadynamicalmodel
AT wanpingliu propagationofcomputervirusunderhumaninterventionadynamicalmodel
AT qingyizhu propagationofcomputervirusunderhumaninterventionadynamicalmodel
AT xulongzhang propagationofcomputervirusunderhumaninterventionadynamicalmodel