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Based on pure P2P principle, a potential propagating approach of active worm which can achieve fast and self propagation performances through fragmentation mechanism is proposed in this paper. According to the features of P2P and active worm, SEI and SEIR mathematic models are given to describe the dynamical process of propagation without control and under control respectively. Simulations of these two models are carried out with scale-free network as background, since research has pointed out that Internet is very close to the scale-free network. Results of simulation and mathematic analysis prove that worm based on pure P2P principle can be still hidden and propagate effectively, although the size of worm is increased. This worm propagation model which is probably used by attackers in the future should be really paid more attention to.