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Public emergency occurs every day, and the information diffusion of an online social network (OSN) shows the characteristics of large capacity, a wide range of far-reaching effects. In order to analyze the role of opinion leader in OSN and the life cycle of Sina Microblog information diffusion, the public emergency information diffusion model and a new method grading opinion leader model are proposed. Firstly, the people of OSN are divided into three kinds: supporter, neutral, and objector. Information interaction formula of opinion leader is built up according to the properties of all kinds of subjects (public people, rumor maker, and opinion leader), and the statistical analysis of the microblog information data is obtained by the computer technology. Second, the communication power is constructed as a function related to the three factors (the number of forwarding, the degree of activity, and the number of fans), and then a weight calculation method based on the analytic hierarchy process is established. Communication power is combined with the new proposed model, and the information diffusion of opinion leader and microblog life cycle is researched. The simulation results show that the established public emergency information diffusion model can truly reflect the actual situation. Opinion leaders have a strong communication in microblog information diffusion. Opinion leaders can influence those who are unsteady about certain public emergency. The value of error is 13.7% and 5.1% by comparing the true data. It is proved that the new proposed models are reasonable and effective for the communication life of the analysis opinion leader in microblog information diffusion.

Information Diffusion and Opinion Leader Mathematical Modeling Based on Microblog