Stability analysis of information spreading on SNS based on refined SEIR model

Investigating the stability of information spreading over SNS helps to understand the principles inherent in the spreading behavior. This paper explores the mechanisms of information spreading including stifling mechanism, latent mechanism and forgetting mechanism, establishes a refined SEIR model, and builds the corresponding mean-field equations. The methods of the differential dynamics and the next generation matrix are used to calculate the equilibriums and the basic reproductive number, and the asymptotical stability of the network equilibriums are proved theoretically. Simulation experiments are carried out to analyze the effect of the spreading mechanisms on the information spreading process and the results support our conclusions.