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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 531781, 13 pages
Research Article

The Influence of User Protection Behaviors on the Control of Internet Worm Propagation

1National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan 030051, China
2Department of Mathematics, North University of China, Taiyuan 030051, China
3Department of Computer Science and Technology, North University of China, Taiyuan 030051, China

Received 6 May 2013; Revised 21 July 2013; Accepted 21 July 2013

Academic Editor: Yanni Xiao

Copyright © 2013 Yihong Li 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.


Computer users’ reactions to the outbreak of Internet worm directly determine the defense capability of the computer and play an important role in the spread of worm. In this paper, in order to characterize the impacts of adaptive user protection behaviors, an improved SIS model is proposed to describe the Internet worm propagation. The results of theoretical analysis indicate that the protective campaigns of users can indeed reduce the worm’s reproduction number to values less than one. But it may not be sufficient to eradicate the worm. In certain condition, a backward bifurcation leading to bistability can occur. These are new findings in the worm propagation model that bring new challenges to control the spread of the worm and further demonstrate the importance of user behaviors in controlling the worm propagation. Corresponding to the analysis results, defense and control strategies are provided.