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Dynamic analysis of the rumor propagation model with consideration of the wise man and social reinforcement

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  • Huo, Liang’an
  • Chen, Sijing
  • Zhao, Laijun

Abstract

Rumor is defined as an unconfirmed public opinion or gossip, which can be propagated through various channels, causing serious economic losses and disturbing the normal order of life. Therefore, studying the rumor propagation mechanism is helpful to implement effective rumor propagation control strategies. In this paper, the wise man is involved in the dynamic process of rumor propagation, and the modified rumor propagation model is established with consideration of social reinforcement and forgetting factors in heterogeneous network. The theories analysis of the model is carried out based on the mean field equation. The rumor propagation threshold is obtained, which is closely related to dual social reinforcement, wisdom conversion rate and forgetting factors. The final size of the rumor is related to positive social reinforcement and negative social reinforcement. Numerical simulations indicate that, the social positive reinforcement promotes rumor propagation and social negative reinforcement suppresses rumor propagation. And the addition of wise men reduces the number of spreaders, thus affecting the process of rumor propagation.

Suggested Citation

  • Huo, Liang’an & Chen, Sijing & Zhao, Laijun, 2021. "Dynamic analysis of the rumor propagation model with consideration of the wise man and social reinforcement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    • Handle: RePEc:eee:phsmap:v:571:y:2021:i:c:s037843712100100x
    DOI: 10.1016/j.physa.2021.125828
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    References listed on IDEAS

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    1. Huo, Liang’an & Song, Naixiang, 2016. "Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 73-84.
    2. Zhu, Liang & Wang, Youguo, 2018. "Rumor diffusion model with spatio-temporal diffusion and uncertainty of behavior decision in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 29-39.
    3. Sang, Chun-Yan & Liao, Shi-Gen, 2020. "Modeling and simulation of information dissemination model considering user’s awareness behavior in mobile social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    4. Zanette, Damián H. & Kuperman, Marcelo, 2002. "Effects of immunization in small-world epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(3), pages 445-452.
    5. Nekovee, M. & Moreno, Y. & Bianconi, G. & Marsili, M., 2007. "Theory of rumour spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 457-470.
    6. Yuan Xu & Renjie Mei & Yujie Yang & Zhengmin Kong, 2019. "Modeling and Analysis of Rumor Spreading with Social Reinforcement Mechanism," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-8, December.
    7. Lu, Peng, 2019. "Heterogeneity, judgment, and social trust of agents in rumor spreading," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 447-461.
    8. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
    9. Afassinou, Komi, 2014. "Analysis of the impact of education rate on the rumor spreading mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 43-52.
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    Cited by:

    1. Zhang, Yi & Xu, Jiuping & Nekovee, Maziar & Li, Zongmin, 2022. "The impact of official rumor-refutation information on the dynamics of rumor spread," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Ding, Haixin & Xie, Li, 2023. "Simulating rumor spreading and rebuttal strategy with rebuttal forgetting: An agent-based modeling approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).

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