基于改进SEIR模型的SNS信息传播稳定性分析(英文)

被引：11

作者：

王超 ^{[1
,2
]}

胡元萍 ^{[1
]}

刘骋远 ^{[1
]}

刘志宏 ^{[1
,2
]}

马建峰 ^{[1
,2
]}

机构：

[1] School of Computer Science and Technology,Xidian University

[2] Shaanxi Key Laboratory of Network and System Security,Xidian University

来源：

中国通信 | 2014年 / 11卷 / 11期

关键词：

D O I：

暂无

中图分类号：

TP393.092 [];

学科分类号：

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.

引用

页码：24 / 33

页数：10

共 10 条

[1]

自适应网络中病毒传播的稳定性和分岔行为研究 [J].

鲁延玲 ;

蒋国平 ;

宋玉蓉 .

物理学报, 2013, 62 (13) :22-30

[2]

Epidemic spreading on uniform networks with two interacting diseases.[J].Yun Feng;Qingli Fan;Lin Ma;Li Ding.Physica A: Statistical Mechanics and its Applications.2014,

[3]

SIRaRu rumor spreading model in complex networks.[J].Jiajia Wang;Laijun Zhao;Rongbing Huang.Physica A: Statistical Mechanics and its Applications.2014,

[4]

A rumor spreading model with variable forgetting rate [J].

Zhao, Laijun ;

Xie, Wanlin ;

Gao, H. Oliver ;

Qiu, Xiaoyan ;

Wang, Xiaoli ;

Zhang, Shuhai .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (23) :6146-6154

[5]

A propagation model of computer virus with nonlinear vaccination probability.[J].Chenquan Gan;Xiaofan Yang;Wanping Liu;Qingyi Zhu.Communications in Nonlinear Science and Numerical Simulation.2013,

[6]

Spreading dynamics and global stability of a generalized epidemic model on complex heterogeneous networks [J].

Zhu, Guanghu ;

Fu, Xinchu ;

Chen, Guanrong .

APPLIED MATHEMATICAL MODELLING, 2012, 36 (12) :5808-5817

[7]

SIHR rumor spreading model in social networks.[J].Laijun Zhao;Jiajia Wang;Yucheng Chen;Qin Wang;Jingjing Cheng;Hongxin Cui.Physica A: Statistical Mechanics and its Applications.2011, 7

[8]

Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal [J].

Zhao, Laijun ;

Wang, Qin ;

Cheng, Jingjing ;

Chen, Yucheng ;

Wang, Jiajia ;

Huang, Wei .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (13) :2619-2625

[9]

The effect of the forget-remember mechanism on spreading [J].

Gu, J. ;

Li, W. ;

Cai, X. .

EUROPEAN PHYSICAL JOURNAL B, 2008, 62 (02) :247-255

[10]

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.[J].P. van den Driessche;James Watmough.Mathematical Biosciences.2002, 1

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