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The interaction evolution model of mass incidents with delay in a social network

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  • Huo, Liang’an
  • Ma, Chenyang

Abstract

Recent years have witnessed rapid development of information technology. Today, modern media is widely used for the purpose of spreading information rapidly and widely. In particular, through micro-blog promotions, individuals tend to express their viewpoints and spread information on the internet, which could easily lead to public opinions. Moreover, government authorities also disseminate official information to guide public opinion and eliminate any incorrect conjecture. In this paper, a dynamical model with two delays is investigated to exhibit the interaction evolution between the public and official opinion fields in network mass incidents. Based on the theory of differential equations, the interaction mechanism between two public opinion fields in a micro-blog environment is analyzed. Two delays are proposed in the model to depict the response delays of public and official opinion fields. Some stable conditions are obtained, which shows that Hopf bifurcation can occur as delays cross critical values. Further, some numerical simulations are carried out to verify theoretical results. Our model indicates that there exists a golden time for government intervention, which should be emphasized given the impact of modern media and inaccurate rumors. If the government releases official information during the golden time, mass incidents on the internet can be controlled effectively.

Suggested Citation

  • Huo, Liang’an & Ma, Chenyang, 2017. "The interaction evolution model of mass incidents with delay in a social network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 440-452.
    • Handle: RePEc:eee:phsmap:v:484:y:2017:i:c:p:440-452
    DOI: 10.1016/j.physa.2017.04.162
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    References listed on IDEAS

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    Cited by:

    1. Geng, Lixiao & Zheng, Hongye & Qiao, Gaigai & Geng, Lisha & Wang, Ke, 2023. "Online public opinion dissemination model and simulation under media intervention from different perspectives," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Yanlan Mei & Yan Tu & Kefan Xie & Yicheng Ye & Wenjing Shen, 2019. "Internet Public Opinion Risk Grading under Emergency Event Based on AHPSort II-DEMATEL," Sustainability, MDPI, vol. 11(16), pages 1-16, August.

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