Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 106950, 8 pages
http://dx.doi.org/10.1155/2012/106950
Research Article

Propagation of Computer Virus under Human Intervention: A Dynamical Model

Chenquan Gan,1,2 Xiaofan Yang,1,2 Wanping Liu,1 Qingyi Zhu,1 and Xulong Zhang1

1College of Computer Science, Chongqing University, Chongqing 400044, China
2School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China

Received 13 May 2012; Accepted 7 June 2012

Academic Editor: Yanbing Liu

Copyright © 2012 Chenquan Gan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.