IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i20p3276-d1501847.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/20/3276/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/20/3276/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3276-:d:1501847. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.