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谣言在多语言环境中的传播与控制。

The spread and control of rumors in a multilingual environment.

作者信息

Yu Shuzhen, Yu Zhiyong, Jiang Haijun, Mei Xuehui, Li Jiarong

机构信息

College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046 People's Republic of China.

出版信息

Nonlinear Dyn. 2020;100(3):2933-2951. doi: 10.1007/s11071-020-05621-7. Epub 2020 Apr 27.

DOI:10.1007/s11071-020-05621-7
PMID:32421101
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7224159/
Abstract

This paper studies the rumor propagation model with heterogeneous networks in a multilingual environment. Firstly, a rumor propagation model with two language spreaders, in which the immunologic mechanism is considered in the ignorant, is proposed on heterogeneous networks. Secondly, the basic reproduction number and the dynamic behaviors are analyzed by using the next-generation matrix method and Lyapunov stability theory, respectively. Moreover, two control strategies are designed to effectively suppress the spread of the rumor. The one is continuous control strategy. By applying real-time control to the spreaders, the rumor spreading time can be greatly reduced and the rumor can die out in a short time. The other is event-triggered impulsive control strategy, which can effectively reduce the consumption of resources and ensure the extinction of the rumor. Finally, the correctness of theoretical analysis and the feasibility of control methods are verified by numerical simulations.

摘要

本文研究了多语言环境下异构网络中的谣言传播模型。首先，在异构网络上提出了一种具有两种语言传播者的谣言传播模型，其中在无知者中考虑了免疫机制。其次，分别利用下一代矩阵法和李雅普诺夫稳定性理论分析了基本再生数和动态行为。此外，设计了两种控制策略来有效抑制谣言的传播。一种是连续控制策略。通过对传播者进行实时控制，可以大大缩短谣言传播时间，使谣言在短时间内消失。另一种是事件触发脉冲控制策略，它可以有效减少资源消耗并确保谣言的消失。最后，通过数值模拟验证了理论分析的正确性和控制方法的可行性。

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