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基于社交网络结构特征的S2IR谣言传播模型

  • 瞿倩倩 ,
  • 韩华 ,
  • 吕亚楠 ,
  • 贾承丰 ,
  • 马媛媛 ,
  • 瞿倩倩 ,
  • 韩华 ,
  • 吕亚楠 ,
  • 贾承丰 ,
  • 马媛媛
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  • 武汉理工大学理学院,武汉 430070
瞿倩倩(1993-),女,湖北随州人,硕士研究生,主要研究方向为复杂网络传播动力学。

收稿日期: 2019-04-28

  网络出版日期: 2019-10-24

基金资助

中央高校基本科研业务费(2018IB016);国家自然科学基金(11601402);国家自然科学基金青年科学基金(111701435)

S2IR Rumor Dissemination Model Based on Structural Characteristics of Social Networks

  • QU Qianqian ,
  • HAN Hua ,
  • L Yanan ,
  • JIA Chengfeng ,
  • MA Yuanyuan ,
  • QU Qianqian ,
  • HAN Hua ,
  • L Yanan ,
  • JIA Chengfeng ,
  • MA Yuanyuan
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  • Department of Science,Wuhan University of Technology, Wuhan 430070, China

Received date: 2019-04-28

  Online published: 2019-10-24

摘要

针对社交网络中的用户对谣言的抵抗能力存在差异以及用户间亲密度不同的情形,通过引入谣言信度函数与个体亲密度函数,定义体现网络结构特征的非一致接触传播率。考虑传谣者的信谣程度及传谣力度不同,基于平均场理论建立一种新的网络谣言传播动力学模型。在BA无标度网络中通过数值仿真验证了理论分析的正确性。实验结果表明,谣言在度大的节点中传播更快、范围更广;高谣言信度与用户亲密度会使谣言传播速度加快、传播范围变广;进一步探究了模型中遗忘率、辟谣率等相关参数对谣言传播的影响。对基本再生数进行敏感性分析,进而提出了控制谣言传播的建议,并对比分析了随机免疫与目标免疫两种常见免疫策略的效果;在仿真网络与真实网络中分析了网络结构对谣言传播的影响规律。

本文引用格式

瞿倩倩 , 韩华 , 吕亚楠 , 贾承丰 , 马媛媛 , 瞿倩倩 , 韩华 , 吕亚楠 , 贾承丰 , 马媛媛 . 基于社交网络结构特征的S2IR谣言传播模型[J]. 复杂系统与复杂性科学, 2019 , 16(3) : 48 -59 . DOI: 10.13306/j.1672-3813.2019.03.005

Abstract

In view of the difference of users′ resistance to rumors and the different intimacy between users in social networks, the dissemination rate of inconsistent contact reflecting network structure characteristics is defined by introducing a rumor reliability function and an individual intimacy function. Considering the different degree and intensity of rumors, a new dynamic model of network rumor propagation is established based on the mean field theory. The correctness of theoretical analysis is verified by numerical simulation in BA scale-free networks. The results show that rumors spread faster and wider in nodes with large degree; high rumor reliability and user intimacy will make rumors spread faster and wider; and further explore the impact of forgetting rate, rumor denial rate and other related parameters on rumor propagation in the model. Based on the sensitivity analysis of the basic reproduction number, some suggestions are put forward to control the spread of rumors, and the effects of two common immunization strategies, random immunization and target immunization, are compared and analyzed. The influence of network structure on rumor propagation is analyzed in simulation network and real network.

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