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Rumor and authoritative information propagation model considering super spreading in complex social networks

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  • Zhang, Yaming
  • Su, Yanyuan
  • Weigang, Li
  • Liu, Haiou

Abstract

The research of rumor spreading and controlling has become an important issue in social networks. In this paper, we propose a novel rumor and authoritative information propagation model considering the super spreading mechanism. We derive mean-field equations to describe the dynamics of the rumor and authoritative information propagation model. Then the basic reproduction number and the final size of rumor and authoritative information are estimated. Simulations are conducted in a Barabási–Albert scale-free network to verify the effectiveness by comparing the proposed model with real data in Sina Weibo and to analyze the dynamics of the model. The results show that the influence of super spreading mechanism on rumor is greater than that on authoritative information. The presence of the super spreading mechanism only on rumor will cause explosive growth of the final rumor spreading size. Besides, the stronger the force of authoritative information, the smaller the final rumor spreading size and the larger the final authoritative information size. What is more, the influence of the force of authoritative information to attract individuals to spread it has greater influence on the final rumor and authoritative information spreading size than the force to forbid spreading rumors. The results are useful to understand better the mechanism of rumor propagation and refutation in complex social networks.

Suggested Citation

  • Zhang, Yaming & Su, Yanyuan & Weigang, Li & Liu, Haiou, 2018. "Rumor and authoritative information propagation model considering super spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 395-411.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:395-411
    DOI: 10.1016/j.physa.2018.04.082
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    References listed on IDEAS

    as
    1. Dong, Chao & Yin, Qiuju & Liu, Wenyang & Yan, Zhijun & Shi, Tianyu, 2015. "Can rewiring strategy control the epidemic spreading?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 169-177.
    2. Yan, Shu & Tang, Shaoting & Pei, Sen & Jiang, Shijin & Zhang, Xiao & Ding, Wenrui & Zheng, Zhiming, 2013. "The spreading of opposite opinions on online social networks with authoritative nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3846-3855.
    3. Galam, Serge & Jacobs, Frans, 2007. "The role of inflexible minorities in the breaking of democratic opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 366-376.
    4. Zhang, Zi-li & Zhang, Zi-qiong, 2009. "An interplay model for rumour spreading and emergency development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4159-4166.
    5. Wang, Jiajia & Zhao, Laijun & Huang, Rongbing, 2014. "2SI2R rumor spreading model in homogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 153-161.
    6. Xia, Ling-Ling & Jiang, Guo-Ping & Song, Bo & Song, Yu-Rong, 2015. "Rumor spreading model considering hesitating mechanism in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 295-303.
    7. Zhang, N. & Huang, H. & Duarte, M. & Zhang, J., 2016. "Risk analysis for rumor propagation in metropolises based on improved 8-state ICSAR model and dynamic personal activity trajectories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 403-419.
    8. 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.
    9. Zhao, Laijun & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 987-994.
    10. 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.
    11. 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.
    12. Huang, He & Yan, Zhijun & Pan, Yaohui, 2014. "Measuring edge importance to improve immunization performance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 532-540.
    13. Jie, Renlong & Qiao, Jian & Xu, Genjiu & Meng, Yingying, 2016. "A study on the interaction between two rumors in homogeneous complex networks under symmetric conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 454(C), pages 129-142.
    14. Liu, Yun & Diao, Su-Meng & Zhu, Yi-Xiang & Liu, Qing, 2016. "SHIR competitive information diffusion model for online social media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 543-553.
    15. 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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