Stability Analysis of Information Spreading on SNS Based on Refined SEIR Model  

作　　者：WANG Chao HU Yuanping LIU Chengyuan LIU Zhihong MA Jianfeng 

机构地区：[1]School of Computer Science and Technology, Xidian University, Xi'an 710071, China [2]Shaanxi Key Laboratory of Network and System Security, Xidian University, Xi'an 710071, China

出　　处：《China Communications》2014年第11期24-33,共10页中国通信（英文版）

基　　金：The authors would like to thank the reviewers for their detailed reviews and constructive comments, which have helped improve the quality of this paper. This work was supported in part by Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China under Grant No. IRT1078; Key Program of NSFC-Guangdong Union Foundation under Grant No. U1135002; National Science and Technology Major Project of the Ministry of Science and Technology of China under Grant No. 2011ZX03005- 002; National Natural Science Foundation of China under Grant No.61173135; Natural Science Foundation of Shaanxi Province under Grant No.2014JQ8297; Fundamental Research Funds for the Central Universities of Ministry of Education of China under Grant Nos. JY 10000903001, K5051303007, K5051203012.

摘　　要：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.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.

关 键 词：SNS information spreadingmodel asymptotical stability basic reproduction number 

分 类 号：U213.15[交通运输工程—道路与铁道工程] G206[文化科学—传播学]