Analysis of S-I-R-S Model on Complex Network Based on the Continuous Time Markov Chain

Addressing the general characteristics of random fluctuations in the propagation process, by the uniform network S-I-R-S model for research object, the paper established a random network model based on continuous time Markov chain, analyzed the steady-state threshold and critical conditions of random model, the conclusion of random network model is the same with the result of the mean-field approach. In addition, the propagation model based on continuous time Markov chain, in the description of the phenomenon of random fluctuations in the propagation process, which gives the explanation is better than the mean-field approach, and the paper provides an analysis of the behavior of the transmission dynamics of complex networks of ideas based on probability and statistics methods.