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SEIOR Rumor Propagation Model Considering Hesitating Mechanism and Different Rumor-Refuting Ways in Complex Networks

Author

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  • Jianhong Chen

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China)

  • Hongcai Ma

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China)

  • Shan Yang

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China)

Abstract

Considering that the state transfer rules between nodes in existing rumor propagation models are mostly based on a single propagation mechanism, and most of the models have a single way of refuting rumors, in this paper, a new SEIOR rumor propagation model (ignorant ( S ), hesitators ( E ), spreaders ( I ), rumor debunkers ( O ), immunizers ( R )) is proposed by introducing hesitators and rumor debunkers and combining different rumor-refuting ways of rumor debunkers. Firstly, the dynamics process of the propagation model is described by using the mean-field equations. Secondly, the equilibrium point and the basic regeneration number of the model are solved, and the existence and stability of the equilibrium point are discussed. Then, numerical simulations are used to analyze the effects of different factors on rumor propagation patterns. The results show that the rumor-spreading rate α 2 has the greatest effect on rumor propagation. With the increase in α 2 , the degree of influence of the hesitator-converting rate α 1 on the scale of rumor propagation first increases and then decreases. Different rumor-refuting ways have different inhibiting effects on the spread of rumors. Finally, based on the results of the theoretical proving and numerical analysis, some targeted measures to control the spread of rumors are proposed.

Suggested Citation

  • Jianhong Chen & Hongcai Ma & Shan Yang, 2023. "SEIOR Rumor Propagation Model Considering Hesitating Mechanism and Different Rumor-Refuting Ways in Complex Networks," Mathematics, MDPI, vol. 11(2), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:283-:d:1026089
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    References listed on IDEAS

    as
    1. 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.
    2. Al-Darabsah, Isam & Yuan, Yuan, 2016. "A time-delayed epidemic model for Ebola disease transmission," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 307-325.
    3. Duncan J. Watts & Steven H. Strogatz, 1998. "Collective dynamics of ‘small-world’ networks," Nature, Nature, vol. 393(6684), pages 440-442, June.
    4. Yao, Yao & Xiao, Xi & Zhang, Chengping & Dou, Changsheng & Xia, Shutao, 2019. "Stability analysis of an SDILR model based on rumor recurrence on social media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    5. Zhu, Linhe & Zhou, Xiao & Li, Yimin, 2019. "Global dynamics analysis and control of a rumor spreading model in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    6. Huo, Liang’an & Chen, Sijing, 2020. "Rumor propagation model with consideration of scientific knowledge level and social reinforcement in heterogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    7. 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.
    8. J. Gu & W. Li & X. Cai, 2008. "The effect of the forget-remember mechanism on spreading," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(2), pages 247-255, March.
    9. Zhu, Liang & Wang, Youguo, 2017. "Rumor spreading model with noise interference in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 750-760.
    10. Yan Wang & Feng Qing & Jian-Ping Chai & Ye-Peng Ni & xiaoke xu, 2021. "Spreading Dynamics of a 2SIH2R, Rumor Spreading Model in the Homogeneous Network," Complexity, Hindawi, vol. 2021, pages 1-9, February.
    11. Schimit, P.H.T. & Monteiro, L.H.A., 2009. "On the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata," Ecological Modelling, Elsevier, vol. 220(7), pages 1034-1042.
    12. Laijun Zhao & Xiaoli Wang & Jiajia Wang & Xiaoyan Qiu & Wanlin Xie, 2014. "Rumor-Propagation Model with Consideration of Refutation Mechanism in Homogeneous Social Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-11, August.
    13. 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.
    14. Zhu, Linhe & Guan, Gui, 2019. "Dynamical analysis of a rumor spreading model with self-discrimination and time delay in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    15. Hu, Yuhan & Pan, Qiuhui & Hou, Wenbing & He, Mingfeng, 2018. "Rumor spreading model with the different attitudes towards rumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 331-344.
    16. 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.
    17. 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.
    18. Liang’an Huo & Yuqing Zhang, 2022. "Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    19. Chunru Li & Zujun Ma, 2022. "Dynamics Analysis and Optimal Control for a Delayed Rumor-Spreading Model," Mathematics, MDPI, vol. 10(19), pages 1-25, September.
    20. 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.
    21. Jinxian Li & Yanping Hu & Zhen Jin, 2019. "Rumor Spreading of an SIHR Model in Heterogeneous Networks Based on Probability Generating Function," Complexity, Hindawi, vol. 2019, pages 1-15, June.
    22. 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.
    23. Liang'an Huo & Peiqing Huang & Chun-xiang Guo, 2012. "Analyzing the Dynamics of a Rumor Transmission Model with Incubation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-21, April.
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    Cited by:

    1. Guanghui Yan & Jie Tang & Huayan Pei & Wenwen Chang, 2024. "Research on rumor propagation and rumor refutation strategies in complex network environment," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(9), pages 1-12, September.

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