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Rumor spreading model considering the proportion of wisemen in the crowd

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  • Hu, Yuhan
  • Pan, Qiuhui
  • Hou, Wenbing
  • He, Mingfeng

Abstract

Similar to the spread of infectious diseases, rumor spread has a significant impact on human lives. As the saying goes, “rumors end with the wise” and the proportion of the wisemen in the crowd has a certain influence on the spread of rumors. Based on this fact, a rumor transmission model considering the proportion of wisemen in the crows is established. It provides a new angle of view on the issue of rumor spreading. Different from previous studies, we consider the speed of rumor propagation as the variable over time in our model. Then, locally asymptotic stability of each of the feasible equilibriums is presented by using Routh–Hurwitz criteria. Numerical simulations are carried out to illustrate the feasibility of our results and the influence of different parameters on the rumor spreading. The results in this paper provide theoretical support to rumor control.

Suggested Citation

  • Hu, Yuhan & Pan, Qiuhui & Hou, Wenbing & He, Mingfeng, 2018. "Rumor spreading model considering the proportion of wisemen in the crowd," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1084-1094.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:1084-1094
    DOI: 10.1016/j.physa.2018.04.056
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    References listed on IDEAS

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    4. Nwaibeh, E.A. & Chikwendu, C.R., 2023. "A deterministic model of the spread of scam rumor and its numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 111-129.
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    6. Hongying Xiao & Zhaofeng Li & Yuanyuan Zhang & Hong Lin & Yuxiao Zhao, 2023. "A Dual Rumor Spreading Model with Consideration of Fans versus Ordinary People," Mathematics, MDPI, vol. 11(13), pages 1-14, July.
    7. Zhang, Xi & Cheng, Yihang & Chen, Aoshuang & Lytras, Miltiadis & de Pablos, Patricia Ordóñez & Zhang, Renyu, 2022. "How rumors diffuse in the infodemic: Evidence from the healthy online social change in China," Technological Forecasting and Social Change, Elsevier, vol. 185(C).
    8. Lan, Yuexin & Lian, Zhixuan & Zeng, Runxi & Zhu, Di & Xia, Yixue & Liu, Mo & Zhang, Peng, 2020. "A statistical model of the impact of online rumors on the information quantity of online public opinion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
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    10. An, Xuming & Ding, Li & Hu, Ping, 2020. "Information propagation with individual attention-decay effect on activity-driven networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    11. Wang, Chaoqian, 2020. "Dynamics of conflicting opinions considering rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
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    14. Lu, Peng, 2019. "Heterogeneity, judgment, and social trust of agents in rumor spreading," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 447-461.

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