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

Nan Lei, Yang Xia, Weinan Fu, Xinyue Zhang and Haijun Jiang ()
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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

Mathematics, 2024, vol. 12, issue 20, 1-20

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.

Keywords: multilingual environment; internet rumors; discrete model; general nonlinear spreading rate; optimal control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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