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Dynamics and Control of a Novel Discrete Internet Rumor Propagation Model in a Multilingual Environment

Author

Listed:
  • Nan Lei

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

  • Yang Xia

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

  • Weinan Fu

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

  • Xinyue Zhang

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

  • Haijun Jiang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
    College of Mathematics and Statistics, Yili Normal University, Yining 835000, China)

Abstract

In the Internet age, the development of intelligent software has broken the limits of multilingual communication. Recognizing that the data collected on rumor propagation are inherently discrete, this study introduces a novel SIR discrete Internet rumor propagation model with the general nonlinear propagation function in a multilingual environment. Then, the propagation threshold R 0 is obtained by the next-generation matrix method. Besides, the criteria determining the spread or demise of rumors are obtained by the stability theory of difference equations. Furthermore, combined with optimal control theory, prevention and refutation mechanisms are proposed to curb rumors. Finally, the validity and applicability of the model are demonstrated by numerical simulations and a real bilingual rumor case study.

Suggested Citation

  • Nan Lei & Yang Xia & Weinan Fu & Xinyue Zhang & Haijun Jiang, 2024. "Dynamics and Control of a Novel Discrete Internet Rumor Propagation Model in a Multilingual Environment," Mathematics, MDPI, vol. 12(20), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3276-:d:1501847
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    References listed on IDEAS

    as
    1. 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).
    2. Lv, Xijian & Fan, Dongmei & Li, Qiang & Wang, Jinling & Zhou, Li, 2023. "Simplicial SIR rumor propagation models with delay in both homogeneous and heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    3. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
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