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

IF 2.6 4区 工程技术 Q1 Mathematics
Jing Liao, Jinling Wang, Jiarong Li, Xin Jiang
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引用次数: 0

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.

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。
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mathematical Biosciences and Engineering
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).
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