Dynamics analysis of a delayed rumor propagation model in an emergency-affected environment
type: Item
instance of: scholarly article
title: Dynamics analysis of a delayed rumor propagation model in an emergency-affected environment
zbMATH Open document ID: 1418.91434
DOI: 10.1155/2015/269561
author: Chunru Li
author: Zu-Jun Ma
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Rumors influence people's decisions in an emergency-affected environment. How to describe the spreading mechanism is significant. In this paper, we propose a delayed rumor propagation model in emergencies. By taking the delay as the bifurcation parameter, the local stability of the boundary equilibrium point and the positive equilibrium point is investigated and the conditions of Hopf bifurcation are obtained. Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, some numerical simulations are also given to illustrate our theoretical results.
Mathematics Subject Classification ID: 91D99
Mathematics Subject Classification ID: 91D10
zbMATH DE Number: 7025287
Wikidata QID: Q59105746
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/269561
OpenAlex ID: W2128311127
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description: scientific article; zbMATH DE number 7025287