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 mechan...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.展开更多
This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obta...This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions＇ extension. Furthermore, the case of the extension＇s limitation for the solutions is also given.展开更多
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+3 种基金 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.
文摘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.
基金Supported by the EDSF of Shandong Province(J04A11)
文摘This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions＇ extension. Furthermore, the case of the extension＇s limitation for the solutions is also given.
