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Analysis of the impact of education rate on the rumor spreading mechanism

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  • Afassinou, Komi

Abstract

Education remains one of the fundamental factors in people’s lives. The education rate of a population reflects the degree of vulnerability of a typical individual to any kind of information. In general, one distinguishes two types of individuals in a population: educated individuals and non-educated individuals. Unlike an educated individual, a non-educated individual has a high chance to accept any untrue information (rumor). In this study, the classical SIR rumor spreading model is extended to consider the forgetting mechanism and population’s education rate, to thus yield the SEIR rumor spreading model. A system of nonlinear ordinary differential equations that describes the dynamical behavior of the SEIR rumor spreading model is derived. Further, analyses of our model are carried out to determine the rumor final size and to investigate the impact of education rate on the rumor final size. Our analytical and numerical results show that the more there are educated individuals within a population, the smaller is the rumor final size. In brief, education significantly contributes to the rumor spreading cessation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:414:y:2014:i:c:p:43-52
    DOI: 10.1016/j.physa.2014.07.041
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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.
    8. 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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