具有非平滑抑制机制的多语言谣言传播模型的动态和控制。

IF 2.6 4区工程技术 Q1 Mathematics

Mathematical Biosciences and Engineering Pub Date : 2024-03-04 DOI:10.3934/mbe.2024224

Jing Liao, Jinling Wang, Jiarong Li, Xin Jiang

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引用次数: 0

摘要

本文研究了多语言环境下谣言传播模型的动态行为和控制策略。首先，提出了一个 S2E2I2R 谣言传播模型，其中包含了一个非平稳抑制机制。同时，以政府干预的传播阈值为基础，分析了均衡的存在性和稳定性。最后，提出了减缓谣言传播的最优控制策略和事件触发的脉冲控制策略，并通过数值模拟和实际案例进一步比较了这两种策略的有效性。

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

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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来源期刊

Mathematical Biosciences and Engineering 工程技术-数学跨学科应用

CiteScore

3.90

自引率

7.70%

发文量

586

审稿时长

>12 weeks

期刊介绍： Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).