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Background The Internet develops rapidly and computer viruses have been a persistent threat to security of networks.In 1920s and 30,inspired by the spreading of infectious diseases,Kermack W.O and MacDendrick A.G.established the pioneer Secure-Infectious-Rescued model (the SIR model) and gave threshold theorem of the spreading of infectious diseases as well as the Secure-Infectious-Secure model (the SIS model).