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The dynamics and control of a multi-lingual rumor propagation model with non-smooth inhibition mechanism
Jing Liao1, Jinling Wang1, Jiarong Li2
1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China.
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.
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