复杂网络上带有传播媒介的SICRS模型研究

徐玺翔; 覃锡忠; 洪丽平; 傅云瑾

doi:10.13568/j.cnki.651094.2015.04.009

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复杂网络上带有传播媒介的SICRS模型研究

更新时间：2026-01-21

- 复杂网络上带有传播媒介的SICRS模型研究
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 32, Issue 4, Pages: 441-446(2015)
- 作者机构：
  
  1. 新疆大学信息科学与工程学院
  2. 中国移动通信集团新疆有限公司
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2015.04.009
  CLC： O157.5
- Published：2015
- 稿件说明：
移动端阅览
[1]徐玺翔,覃锡忠,洪丽平,等.复杂网络上带有传播媒介的SICRS模型研究[J].新疆大学学报(自然科学版),2015,32(04):441-446.
[1]徐玺翔,覃锡忠,洪丽平,等.复杂网络上带有传播媒介的SICRS模型研究[J].新疆大学学报(自然科学版),2015,32(04):441-446. DOI： 10.13568/j.cnki.651094.2015.04.009.

DOI：10.13568/j.cnki.651094.2015.04.009.

摘要

通过将舆论、病毒、谣言等在现实社会中各种复杂网络上的传播过程抽象为传染病在社会群体中的传播过程进行研究

提出了一个综合考虑实际情况下谣言会通过传播媒介进行扩散

并且在谣言的传播过程中存在谣言在被转发初期具有传播能力

而经过一段时间会被其它微博覆盖成为被淹没的消息而不再具有传播能力的特性的传播模型—复杂网络上带传播媒介的SICRS模型.通过平均场理论分析并且用Matlab详细研究了该模型在均匀网络上的动力学行为.研究结果表明:在均匀网络中

谣言的传播结果与经典结果相似

且引入传播媒介后会对谣言的传播起到加速的作用;在考虑极限情况下

度不相关网络的传播阈值也趋于零.模型的提出不仅有助于研究谣言等在网络中的传播和控制

也为研究带有传播媒介的传播模型时如何提出高效可行的免疫策略提供了新思路.

Abstract

The spread of public opinions

virus and rumors on the complicated networks is closely related to our social life. This thesis will study the process as infectious disease in social groups and work out a infectious model considering the fact that rumors spread through carriers and that in the initial period

the rumors has the infectious capacity

after a range of time it no longer obtain the capacity and will be submerged by other tweets. The model is named SICRS with infectious carriers and direct immunity on complex networks.Then

a detailed research is conducted on the dynamic behaviors of the model in uniform networks with the help of Matlab and mean field theory. It is shown that in uniform networks

the transmission results are similar to the classical results

and infective medium increases the speed of rumor transmission. As for degree correlated networks

considering the limiting case

the transmission threshold tends to zero. The proposed model not only helps the researches on transmission and control of rumors on the internet

but also provides new ideas for effective immune strategies for spreading models with infective medium.

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