Information Dissemination of Two Ways on Complex Networks

被引:0
作者
Chen Wenbin [1 ]
Qin Peng [2 ]
机构
[1] North Univ China, Shanxi Prov Key Lab Biomed Imaging & Big Data, Taiyuan, Peoples R China
[2] North Univ China, Sch Elect & Control Engn, Taiyuan, Peoples R China
来源
PROCEEDINGS OF THE 2017 4TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND COMPUTER (MACMC 2017) | 2017年 / 150卷
关键词
information dissemination; complex network; reproduction number; stability; RUMOR; POPULATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An SIS information dissemination model is studied based in social network. QQ and WeChat are employed as the carrier of information dissemination. We assume that uninformed individuals can get information from either their informed QQ friends or their informed WeChat friends, and the relationship between two individuals can only be QQ relationship or WeChat relationship. Informed individuals forget the information at a certain probability. Basic reproduction number was obtained by mathematical analysis. Global stability of the disease-free equilibrium and the existence and uniqueness of endemic equilibrium were demonstrated. To illustrate our theoretical analysis, some numerical simulations are included in this paper.
引用
收藏
页码:377 / 383
页数:7
相关论文
共 10 条
[1]  
DIEKMANN O, 1990, J MATH BIOL, V28, P365
[2]   The spread of a rumor or infection in a moving population [J].
Kesten, H ;
Sidoravicius, V .
ANNALS OF PROBABILITY, 2005, 33 (06) :2402-2462
[3]  
LAJMANOVICH A, 1976, Mathematical Biosciences, V28, P221, DOI 10.1016/0025-5564(76)90125-5
[4]   Propagation and immunization of infection on general networks with both homogeneous and heterogeneous components [J].
Liu, ZH ;
Lai, YC ;
Ye, N .
PHYSICAL REVIEW E, 2003, 67 (03) :5-031911
[5]  
Moreno Y, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066130
[6]   THE PROPORTION OF THE POPULATION NEVER HEARING A RUMOR [J].
SUDBURY, A .
JOURNAL OF APPLIED PROBABILITY, 1985, 22 (02) :443-446
[7]   Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission [J].
van den Driessche, P ;
Watmough, J .
MATHEMATICAL BIOSCIENCES, 2002, 180 :29-48
[8]   Dynamics of rumor propagation on small-world networks [J].
Zanette, DH .
PHYSICAL REVIEW E, 2002, 65 (04) :9-041908
[9]   Critical behavior of propagation on small-world networks [J].
Zanette, DH .
PHYSICAL REVIEW E, 2001, 64 (05) :4
[10]   Influence of network structure on rumor propagation [J].
Zhou, Jie ;
Liu, Zonghua ;
Li, Baomen .
PHYSICS LETTERS A, 2007, 368 (06) :458-463