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Dynamical analysis of Hyper-SIR rumor spreading model

Author

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  • Zhang, Ziyu
  • Mei, Xuehui
  • Jiang, Haijun
  • Luo, Xupeng
  • Xia, Yang

Abstract

In this paper, a hyper susceptible-infected-recovered (Hyper-SIR) rumor propagation model is proposed based on hypergraph, which can describe the higher-order information interactions among nodes in the networks. Notably, hyperdegree is substitute for degree to model rumor spreading, and some reasonable results are obtained. Firstly, the threshold of Hyper-SIR rumor propagation model is acquired. Then, the stability of rumor-free/prevailing equilibrium is discussed by employing Lyapunov stability theory and LaSalle’s invariance principle. Moreover, uniform immunization and targeted immunization strategies are introduced to control the propagation of rumors. Besides, sensitivity analysis shows the different effects of parameters between Hyper-SIR model and SIR model. Finally, the numerical simulations are displayed and the results show Hyper-SIR model reaches equilibrium faster than general SIR model.

Suggested Citation

  • Zhang, Ziyu & Mei, Xuehui & Jiang, Haijun & Luo, Xupeng & Xia, Yang, 2023. "Dynamical analysis of Hyper-SIR rumor spreading model," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    • Handle: RePEc:eee:apmaco:v:446:y:2023:i:c:s0096300323000565
    DOI: 10.1016/j.amc.2023.127887
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    References listed on IDEAS

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    Cited by:

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    3. Tian, Yang & Tian, Hui & Cui, Qimei & Zhu, Xuzhen, 2024. "Phase transition phenomena in social propagation with dynamic fashion tendency and individual contact," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. 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.
    5. Zhu, Linhe & Chen, Siyi & Shen, Shuling, 2024. "Pattern dynamics analysis of a reaction–diffusion network propagation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 425-444.
    6. Pan, Yuxuan & Zhu, Linhe, 2024. "Parameter identification method of information propagation models based on different network structures," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    7. Shan Yang & Shihan Liu & Kaijun Su & Jianhong Chen, 2024. "A Rumor Propagation Model Considering Media Effect and Suspicion Mechanism under Public Emergencies," Mathematics, MDPI, vol. 12(12), pages 1-23, June.

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