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Although the frequency of Internet worm's outbreak is decreased, the impact of worm on people's wealth security and society's stabilization is still an unnegligible problem, especially the emergence of botnet. With the growth of variable network structure and applications, such as P2P network, Internet worms can explore more fast and covert ways to propagate. Hence, an accurate worm propagation model is urgently needed. In this paper, the concept and structure of worms are presented, then the typical propagation models in different environment are discussed, and the Advantages and Disadvantages of different models are given. It is our hope that others in the community who need to get up to speed in the worm literature can benefit from this survey.