The impact of media coverage and emergency strategies on the rumor spreading
type: Item
instance of: scholarly article
title: The impact of media coverage and emergency strategies on the rumor spreading
zbMATH Open document ID: 1422.91594
DOI: 10.1155/2018/4137129
author: Yingying Cheng
author: Liang'an Huo
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: On the basis of nonlinear dynamic model, we research the propagation of rumors after emergencies, describe the impact of media coverage and emergency strategies by government on the transmission dynamics of information, and then obtain the basic reproduction number of rumor spreading. In order to overcome the limit of traditional methods of the static decision problem, the dynamic optimal control model for the rumor spreading is proposed based on the theorem of the optimal control. An optimal objective based on the maximum social utility is established and the optimal solution is acquired by using the Pontryagin Maximum Principle. Finally, numerical simulations show that the dynamic optimal control method has obvious superiority in modeling compared with the method without control. By means of the dynamic optimal control of media coverage and emergency strategies for government, the final rumor scale and the peak of spreaders can be effectively reduced.
Mathematics Subject Classification ID: 91D10
zbMATH DE Number: 7026573
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4137129
OpenAlex ID: W2904029206
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Wikidata QID: Q128771212
description: scientific article; zbMATH DE number 7026573