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The dynamics analysis of a rumor propagation model in online social networks

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  • Zhu, Linhe
  • Liu, Mengxue
  • Li, Yimin

Abstract

With rapid emergence of online social networks, the rumor transition has a growing significant impact on social stability and human lives. This paper investigates the local stability and optimal control of a rumor propagation model in online social network with changing number of total users, which is proposed in Ref. Dong et al. (2018). In addition, we set up a model with a delay based on the reality, and analyze the sufficient conditions for Hopf bifurcation. Finally, the rumor spreading model is simulated numerically. The results of simulation are shown the process of rumor propagation and prove the correctness of the theoretical analysis.

Suggested Citation

  • Zhu, Linhe & Liu, Mengxue & Li, Yimin, 2019. "The dynamics analysis of a rumor propagation model in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 118-137.
    • Handle: RePEc:eee:phsmap:v:520:y:2019:i:c:p:118-137
    DOI: 10.1016/j.physa.2019.01.013
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    References listed on IDEAS

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    Cited by:

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    3. Xinhai Lu & Yanwei Zhang & Handong Tang, 2021. "Modeling and Simulation of Dissemination of Cultivated Land Protection Policies in China," Land, MDPI, vol. 10(2), pages 1-21, February.
    4. Nwaibeh, E.A. & Chikwendu, C.R., 2023. "A deterministic model of the spread of scam rumor and its numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 111-129.
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    6. Aníbal Coronel & Fernando Huancas & Ian Hess & Esperanza Lozada & Francisco Novoa-Muñoz, 2020. "Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment," Mathematics, MDPI, vol. 8(5), pages 1-20, May.
    7. Zhu, Linhe & Liu, Wenshan & Zhang, Zhengdi, 2020. "Delay differential equations modeling of rumor propagation in both homogeneous and heterogeneous networks with a forced silence function," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    8. Zhu, Honglan & Zhang, Xuebing & An, Qi, 2022. "Global stability of a rumor spreading model with discontinuous control strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    9. Guiyun Liu & Junqiang Li & Zhongwei Liang & Zhimin Peng, 2021. "Analysis of Time-Delay Epidemic Model in Rechargeable Wireless Sensor Networks," Mathematics, MDPI, vol. 9(9), pages 1-19, April.
    10. Li, Ming & Zhang, Hong & Georgescu, Paul & Li, Tan, 2021. "The stochastic evolution of a rumor spreading model with two distinct spread inhibiting and attitude adjusting mechanisms in a homogeneous social network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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