Global dynamics of a delayed alcoholism model with the effect of health education

An alcohol consumption model with health education and three time delays is formulated and analyzed. The alcoholism generation number is defined. Two steady states of the model are found. At the same time, the corresponding global dynamics of the model are analyzed respectively in four cases with di...

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Bibliographic Details
Main Authors: Shuang Hong Ma, Hai Feng Huo, Hong Xiang, Shuang Lin Jing
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mbe.2021048?viewType=HTML
Description
Summary:An alcohol consumption model with health education and three time delays is formulated and analyzed. The alcoholism generation number is defined. Two steady states of the model are found. At the same time, the corresponding global dynamics of the model are analyzed respectively in four cases with different time delays. Then, the effects of health education and three time delays in controlling the alcohol problem are discussed. Some numerical simulation results are also given to support our theoretical predictions.
ISSN:1551-0018