Minimize the impact of rumors by optimizing the control of comments on the complex network

Ying Yu; Jiaomin Liu; Jiadong Ren; Qian Wang; Cuiyi Xiao; Ying Yu; Jiaomin Liu; Jiadong Ren; Qian Wang; Cuiyi Xiao

doi:10.3934/math.2021360

AIMS Mathematics

2021, Volume 6, Issue 6: 6140-6159. doi: 10.3934/math.2021360

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Research article

Minimize the impact of rumors by optimizing the control of comments on the complex network

1.
College of Information Science and Engineering, Yanshan University, Qinhuangdao, Hebei, China
2.
Liren College of Yanshan University, Qinhuangdao, Hebei, China
3.
Computer Virtual Technology and System Integration Laboratory of Hebei Province, China
4.
College of Mathematics and Information Technology, Hebei Normal University of Science and Technology, Qinhuangdao, Hebei, China

Received: 06 February 2021 Accepted: 26 March 2021 Published: 06 April 2021
MSC : 34H99

The rapid development of Internet and information technology has intensified the spread of rumors. Making full use of the comment mechanism on the Internet can effectively prevent the spread of rumors. This article focuses on strategies to reduce rumors by controlling comments. Firstly, based on the comment mechanism, a rumor propagation model with mixed rumor and truth is established. Secondly, we measure the cost of the rumor and, on this basis, model the comment based rumor-truth problem as the optimal control problem. Thirdly, we prove the existence of optimal control and derive the optimal system. Finally, the superiority of the optimal control strategy is verified by numerical simulation, and the rumor propagation is effectively slowed down under the premise of cost control, and the influence of some parameter changes on rumor cost-effectiveness control is studied.
- hybrid rumor propagation model,
- comment mechanism,
- optimal control problem,
- optimization strategy
Citation: Ying Yu, Jiaomin Liu, Jiadong Ren, Qian Wang, Cuiyi Xiao. Minimize the impact of rumors by optimizing the control of comments on the complex network[J]. AIMS Mathematics, 2021, 6(6): 6140-6159. doi: 10.3934/math.2021360

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Abstract

The rapid development of Internet and information technology has intensified the spread of rumors. Making full use of the comment mechanism on the Internet can effectively prevent the spread of rumors. This article focuses on strategies to reduce rumors by controlling comments. Firstly, based on the comment mechanism, a rumor propagation model with mixed rumor and truth is established. Secondly, we measure the cost of the rumor and, on this basis, model the comment based rumor-truth problem as the optimal control problem. Thirdly, we prove the existence of optimal control and derive the optimal system. Finally, the superiority of the optimal control strategy is verified by numerical simulation, and the rumor propagation is effectively slowed down under the premise of cost control, and the influence of some parameter changes on rumor cost-effectiveness control is studied.

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