Open AccessGlobal dynamics of a delayed alcoholism model with the effect of health education
Author(s) -
Shuang Hong,
Hai Feng Huo,
Xia Hong,
Shuang Jing
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021048
Subject(s) - dynamics (music) , alcohol consumption , consumption (sociology) , alcohol , psychology , computer science , sociology , chemistry , pedagogy , biochemistry , social science
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.