微博网络消息传播的ISSR模型

doi:10.3969/j.issn.0255-8297.2015.02.009

应用科学学报 ›› 2015, Vol. 33 ›› Issue (2): 194-202.doi: 10.3969/j.issn.0255-8297.2015.02.009

微博网络消息传播的ISSR模型

陆静1,2,3，余小清1,2，万旺根1,2

1. 上海大学通信与信息工程学院，上海200444
2. 上海大学智慧城市研究院，上海200444
3. 上海电力学院电子与信息工程学院，上海200090

收稿日期:2014-01-21 修回日期:2014-09-30 出版日期:2015-03-30 发布日期:2014-09-30
作者简介:陆静，博士生，研究方向：WEB数据挖掘，E-mail: lujingshiep@163.com；万旺根，教授，博导，研究方向：大数据分析，E-mail: wanwg@staff.shu.edu.cn
基金资助:
国家自然科学基金(No.61373084)；国家“863”高技术研究发展计划基金(No.2013AA01A603)；上海市教育委员会科研创新项目基金(No.14YZ011)资助

ISSR Model of Message Propagation in Microblog Networks

LU Jing1,2,3, YU Xiao-qing1,2, WAN Wang-gen1,2

1. School of Communication and Information Engineering, Shanghai University,
Shanghai 200072, China
2. Institute of Smart City, Shanghai University, Shanghai 200444, China
3. School of Electronics and Information Engineering, Shanghai University of Electric Power,
Shanghai 200444, China

Received:2014-01-21 Revised:2014-09-30 Online:2015-03-30 Published:2014-09-30

摘要/Abstract

摘要： 将微博用户划分为无知者、传播者和拒绝者3种类型，结合微博网络消息传播实际情况，在经典传染病易感染-感染-治愈模型基础上，提出新的无知-传播-传播-拒绝模型. 详细描述了传播机制，并对模型的均场方程进行稳态分析. 由爬取到的上海典型大学新浪微博用户信息，构建符合真实网络统计性质的网络演化模型，并进行网络动力学分析. 仿真结果表明，较大的转发率和较小的拒绝率可以提高微博消息的传播范围，多次转发率对传播节点密度也有一定的影响.

关键词: 微博网络, 消息传播, ISSR模型, 均场方程, 网络演化

Abstract: We divide microblog users into three types: uninformed, forwarder and rejecter,
and propose an uninformed-spreader-spreader-rejecter (ISSR) model based on the
real situation of message propagation in a microblog network and the classical epidemic
model susceptible-infectious-removed (SIR). The transmission mechanism is described in
detail. We also give a steady-state analysis of the mean-field equations of the model. The
network evolution model corresponding to the statistical property of real networks is built
based on the crawled information from Sina microblog users in Shanghai’s typical universities.
Dynamics of the networks is analyzed. Simulation results show a larger retweeting
rate and a smaller rejecting rate may improve the spreading range of the microblog
message. Meanwhile, the multiple retweeting rate
has a certain influence on the density of spreaders.

Key words: microblog network, message propagation, ISSR model, mean-field equations, network evolution

中图分类号:

TP393

陆静1,2,3，余小清1,2，万旺根1,2. 微博网络消息传播的ISSR模型[J]. 应用科学学报, 2015, 33(2): 194-202.

LU Jing1,2,3, YU Xiao-qing1,2, WAN Wang-gen1,2. ISSR Model of Message Propagation in Microblog Networks[J]. Journal of Applied Sciences, 2015, 33(2): 194-202.

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微博网络消息传播的ISSR模型

ISSR Model of Message Propagation in Microblog Networks

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