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

Autor: Jing Liao, Jinling Wang, Jiarong Li, Xin Jiang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 21, Iss 4, Pp 5068-5091 (2024)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2024224?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals