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SIR rumor spreading model in the new media age

Author

Listed:
  • Zhao, Laijun
  • Cui, Hongxin
  • Qiu, Xiaoyan
  • Wang, Xiaoli
  • Wang, Jiajia

Abstract

With the prevalence of new media, e.g., microblogging, rumors spread faster and wider than ever before. On the basis of prior studies, this paper modifies a flow chart of the rumor spreading process with the SIR (Susceptible, Infected, and Recovered) model, and thus makes the rumor spreading process more realistic and apparent. The authors believe that ignorants will inevitably change their status once they are made aware of a rumor by spreaders; the probabilities that a spreader becomes a stifler are differentiated in accordance with reality. In the numerical simulation part, the impact that variations of different parameters have on the rumor spreading process will be analyzed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:995-1003
    DOI: 10.1016/j.physa.2012.09.030
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    References listed on IDEAS

    as
    1. Kosfeld, Michael, 2005. "Rumours and markets," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 646-664, September.
    2. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Zhang, Ding & Ma, Ting & Chen, Yucheng & Wang, Jiajia, 2012. "The impact of authorities’ media and rumor dissemination on the evolution of emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3978-3987.
    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. 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.
    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. Isham, Valerie & Harden, Simon & Nekovee, Maziar, 2010. "Stochastic epidemics and rumours on finite random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 561-576.
    7. Zhao, Laijun & Wang, Jiajia & Chen, Yucheng & Wang, Qin & Cheng, Jingjing & Cui, Hongxin, 2012. "SIHR rumor spreading model in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2444-2453.
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