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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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    1. Bettencourt, Luís M.A. & Cintrón-Arias, Ariel & Kaiser, David I. & Castillo-Chávez, Carlos, 2006. "The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 513-536.
    2. Kosfeld, Michael, 2005. "Rumours and markets," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 646-664, September.
    3. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Chen, Yucheng & Wang, Jiajia & Huang, Wei, 2011. "Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2619-2625.
    4. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
    5. Nizamani, Sarwat & Memon, Nasrullah & Galam, Serge, 2014. "From public outrage to the burst of public violence: An epidemic-like model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 620-630.
    6. Galam, Serge, 2003. "Modelling rumors: the no plane Pentagon French hoax case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 571-580.
    7. Han, Shuo & Zhuang, Fuzhen & He, Qing & Shi, Zhongzhi & Ao, Xiang, 2014. "Energy model for rumor propagation on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 99-109.
    8. Laijun Zhao & Jiajia Wang & Rongbing Huang, 2015. "Immunization against the Spread of Rumors in Homogenous Networks," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-17, May.
    9. Wang, Jiajia & Zhao, Laijun & Huang, Rongbing, 2014. "SIRaRu rumor spreading model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 43-55.
    10. 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.
    11. Zhao, Laijun & Xie, Wanlin & Gao, H. Oliver & Qiu, Xiaoyan & Wang, Xiaoli & Zhang, Shuhai, 2013. "A rumor spreading model with variable forgetting rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6146-6154.
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