This paper reviewed the status of studies on transmission dynamics on complex network and introduced classical propagation model and the general law of dissemination to discuss the propagation characteristics of small-world networks and scale-free networks, also made an in-depth analysis of the social composition of the network topology. Then, we explored the complex network theory introduced into the social network research is reasonable, summed up the significance of transmission dynamics being introduced into the research of social rumours prevention and control. Finally, as from the empirical analysis, establishment of network models and the proposition of prevention and control strategies in three areas, there were answers remain unknown by the current but worth further studies. Index Ter
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