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Computer worms evolved continually, faster and smarter. Proactive P2P worms with new "gene" propagate over logical P2P overlay networks defined by peer relationship. Observations suggest that the node degrees of an unstructured P2P network are power law distributed thus we model it as a power law undirected graph. We study propagation process of proactive P2P worm using a dynamic epidemic model. Specifically, we adopt discrete-time to conduct recursive analysis and deterministic approximation to describe propagation of proactive P2P worm. Then we carry out extensive simulation studies, which prove that the mathematical model matches simulation results well.