Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 828246, 13 pages
http://dx.doi.org/10.1155/2012/828246
Research Article

Adaptive Human Behavior in a Two-Worm Interaction Model

Li-Peng Song,1,2 Xie Han,1,2 Dong-Ming Liu,1 and Zhen Jin3

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

Received 18 July 2012; Accepted 8 October 2012

Academic Editor: Bimal Kumar Mishra

Copyright © 2012 Li-Peng Song 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

The complex interactions among internet worms have great impact on the dynamics of worms. To contain the propagation of worms, it is necessary to characterize these interactions. Therefore, a two-worm interaction model is presented in this paper. Different from previous researches, we have considered the influence of adaptive human reaction stirred by one cooperative worm on the other worm in the model. The model’s equilibria and their stability conditions are obtained mathematically and verified by simulations. Results indicate that considering adaptive human behavior significantly changes the prospective propagation course of worms and that this consideration has implications for designing counterworm methods.