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

Shuang Hong Ma; Hai Feng Huo; Hong Xiang; Shuang Lin Jing

doi:10.3934/mbe.2021048

Mathematical Biosciences and Engineering (Apr 2021)

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

Shuang Hong Ma,
Hai Feng Huo ,
Hong Xiang,
Shuang Lin Jing

Affiliations

Shuang Hong Ma: 1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
Hai Feng Huo: 1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
Hong Xiang: 1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
Shuang Lin Jing: 2. College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China

DOI: https://doi.org/10.3934/mbe.2021048
Journal volume & issue: Vol. 18, no. 1
pp. 904 – 932

Abstract

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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.

Published in Mathematical Biosciences and Engineering

ISSN: 1551-0018 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Technology: Chemical technology: Biotechnology; Science: Mathematics
Website: https://www.aimspress.com/journal/MBE

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