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Rumor spreading model with considering debunking behavior in emergencies

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  • Tian, Yong
  • Ding, Xuejun

Abstract

Rumor spreading in OSNs has been posing a significant threat to maintain the normal social order. In recent years, extensive efforts have been directed towards studying the rumor dynamics based on epidemic models, assuming that only the rumor cascades exist in the network for a specific event. In this paper, a novel rumor spreading model called ILRDS is proposed to describe the rumor dynamics in OSNs under emergencies. Different from previous studies, the model considers that when an ignorant is exposed to a rumor or counter-rumor, he or she will change into a latent with one of three different attitudes toward the rumor. Furthermore, the influence of debunking behavior and varying total population on the rumor dynamics are also investigated in this paper. Then, the stability of ILRDS model is analyzed by using the Lyapunov function-based method and Poincarè–Bendixson property. Finally, simulations are carried out to describe the influence of different parameters on the rumor spreading process, and the corresponding management strategies for restraining the rumor spreading under the emergencies are also discussed in this paper.

Suggested Citation

  • Tian, Yong & Ding, Xuejun, 2019. "Rumor spreading model with considering debunking behavior in emergencies," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
  • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:50
    DOI: 10.1016/j.amc.2019.124599
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    as
    1. Dong, Suyalatu & Fan, Feng-Hua & Huang, Yong-Chang, 2018. "Studies on the population dynamics of a rumor-spreading model in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 10-20.
    2. 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.
    3. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    4. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 229-239.
    5. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    6. Kabir, K.M. Ariful & Kuga, Kazuki & Tanimoto, Jun, 2019. "Analysis of SIR epidemic model with information spreading of awareness," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 118-125.
    7. Selma Belen & Erik Kropat & Gerhard-Wilhelm Weber, 2011. "On the classical Maki–Thompson rumour model in continuous time," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(1), pages 1-17, March.
    8. Ma, Jing & Li, Dandan & Tian, Zihao, 2016. "Rumor spreading in online social networks by considering the bipolar social reinforcement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 108-115.
    9. Alam, Muntasir & Kuga, Kazuki & Tanimoto, Jun, 2019. "Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 408-422.
    10. Zhang, Yuhuai & Zhu, Jianjun, 2018. "Stability analysis of I2S2R rumor spreading model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 862-881.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Guanghua Chen & Huizhang Shen & Teng Ye & Guangming Chen & Naphtali Kerr, 2013. "A Kinetic Model for the Spread of Rumor in Emergencies," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-8, December.
    16. Huo, Liang'an & Wang, Li & Song, Naixiang & Ma, Chenyang & He, Bing, 2017. "Rumor spreading model considering the activity of spreaders in the homogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 855-865.
    17. 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.
    18. Huo, Liang’an & Wang, Li & Song, Guoxiang, 2017. "Global stability of a two-mediums rumor spreading model with media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 757-771.
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    2. Xuefeng Yue & Liangan Huo, 2022. "Analysis of the Stability and Optimal Control Strategy for an ISCR Rumor Propagation Model with Saturated Incidence and Time Delay on a Scale-Free Network," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
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