The dynamics and control of a multi-lingual rumor propagation model with non-smooth inhibition mechanism

Jing Liao; Jinling Wang; Jiarong Li; Xin Jiang; Jing Liao; Jinling Wang; Jiarong Li; Xin Jiang

doi:10.3934/mbe.2024224

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 4: 5068-5091. doi: 10.3934/mbe.2024224

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Research article

The dynamics and control of a multi-lingual rumor propagation model with non-smooth inhibition mechanism

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
2.
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
3.
Department of Basic, Xinjiang Vocational and Technical College of Communications, Urumqi 830046, China

Academic Editor: Xiangsheng Wang

Received: 20 December 2023 Revised: 22 January 2024 Accepted: 04 February 2024 Published: 04 March 2024

In this paper, the dynamic behaviors and control strategies of a rumor propagation model are studied in multi-lingual environment. First, an S2E2I2R rumor propagation model is proposed, which incorporates a non-smooth inhibition mechanism. Meanwhile, the existence and stability of the equilibrium are analyzed, grounded in the spreader threshold of the government intervention. Finally, the optimal control and the event-triggered impulsive control strategies are proposed to mitigate the spread of rumors, and the comparison of their effectiveness is further presented by the numerical simulation and a practical case.
- rumor propagation,
- multi-lingual environment,
- non-smooth inhibition mechanism,
- optimal control,
- event-triggered impulsive control
Citation: Jing Liao, Jinling Wang, Jiarong Li, Xin Jiang. The dynamics and control of a multi-lingual rumor propagation model with non-smooth inhibition mechanism[J]. Mathematical Biosciences and Engineering, 2024, 21(4): 5068-5091. doi: 10.3934/mbe.2024224

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Abstract

In this paper, the dynamic behaviors and control strategies of a rumor propagation model are studied in multi-lingual environment. First, an S2E2I2R rumor propagation model is proposed, which incorporates a non-smooth inhibition mechanism. Meanwhile, the existence and stability of the equilibrium are analyzed, grounded in the spreader threshold of the government intervention. Finally, the optimal control and the event-triggered impulsive control strategies are proposed to mitigate the spread of rumors, and the comparison of their effectiveness is further presented by the numerical simulation and a practical case.

References

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