关键词: 网络安全, 多蠕虫模型, 合作型蠕虫, 平衡态与稳定性, 动力系统

Abstract: The complex interactions among Internet worms have great impact on the dynamics of worms. To contain the propagation of worm, it is necessary to characterize these interactions. However, previous models have been single worms models. Therefore, a two-worm interaction model was presented in this paper, which focused on the influence of cooperative worm. Furthermore, the models equilibria and their stability conditions were obtained mathematically and then verified by simulation. The analytical and simulated results show that the cooperative worm can facilitate the spread of other worms and it is also shown that the cooperative worm can be terminated based on its stability condition and timely patching technology.

Key words: network security, model of multiple worms, cooperative worm, equilibrium and stability, dynamical system