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Dynamics of a new e-rumor model considering irresolute individuals

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  • Bernard, Séverine
  • Piétrus, Alain

Abstract

Nowadays, social networks are well known in our societies, as well as their advantages and disadvantages. The propagation of fake news can quickly become harmful in a political or economical context for example. Consequently, it is important to understand the dynamics of information spread to better control it. In this paper, we propose a new model of e-rumor where the novelty is to consider irresolute individuals. From this last one, we define a threshold R0 completely determining the dynamics of the model. If R0 is less than one, the rumor will die whereas if R0 is greater than one, the rumor will persist.

Suggested Citation

  • Bernard, Séverine & Piétrus, Alain, 2024. "Dynamics of a new e-rumor model considering irresolute individuals," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006829
    DOI: 10.1016/j.chaos.2024.115130
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    References listed on IDEAS

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    1. Séverine Bernard & Ténissia Cesar & Alain Pietrus, 2018. "Stability Analysis of a New E-rumor Model," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 377-390, Springer.
    2. Jing’an Cui & Zhanmin Wu, 2014. "An SIRS Model for Assessing Impact of Media Coverage," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, February.
    3. 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.
    4. 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.
    5. Sun, Chengjun & Lin, Yiping & Tang, Shoupeng, 2007. "Global stability for an special SEIR epidemic model with nonlinear incidence rates," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 290-297.
    Full references (including those not matched with items on IDEAS)

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