| Autor: |
Ying Yu, Jiaomin Liu, Jiadong Ren, Qian Wang, Cuiyi Xiao |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 6, Iss 6, Pp 6140-6159 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2021360?viewType=HTML |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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