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Modeling and controlling delayed rumor propagation with general incidence in heterogeneous networks

Author

Listed:
  • Xupeng Luo

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China2College of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China)

  • Haijun Jiang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China)

  • Jiarong Li

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China)

  • Shanshan Chen

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China)

  • Yang Xia

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China)

Abstract

To explore the rumor propagation dynamics in online social networks (OSNs) and propose the corresponding control strategies, a novel Ignorants-Spreaders-1-Spreaders-2-Removers (I2SR) rumor-spreading model with general incidence is first formulated in heterogeneous networks. This model covers the bilinear incidence and nonlinear incidence, and considers the time delay in the rumor-spreading process, which is universal and practical. We analytically derive the basic reproduction numbers, which determine the existence of rumor-spreading equilibria but also the global dynamics of the model. Moreover, the Lyapunov–LaSalle principle and the graph-theoretic approach prove the global asymptotic stability of the rumor-free/rumor-spreading equilibria in detail. Significantly, the effects of various strategies, including uniform control, targeted control, and acquaintance control, are implemented and compared. Finally, the developed theoretical results are tested via numerical simulations and a real case data of rumors, showing that the model can more accurately simulate rumor-spreading in OSNs.

Suggested Citation

  • Xupeng Luo & Haijun Jiang & Jiarong Li & Shanshan Chen & Yang Xia, 2024. "Modeling and controlling delayed rumor propagation with general incidence in heterogeneous networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(02), pages 1-29, February.
    • Handle: RePEc:wsi:ijmpcx:v:35:y:2024:i:02:n:s0129183124500207
    DOI: 10.1142/S0129183124500207
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