Modelling the influence of awareness programs by media on the drinking dynamics
type: Item
instance of: scholarly article
title: Modelling the influence of awareness programs by media on the drinking dynamics
zbMATH Open document ID: 1474.91129
DOI: 10.1155/2014/938080
author: Haifeng Huo
author: Qian Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. Due to the fact that awareness programs are capable of inducing behavioral changes in nondrinkers, we introduce a separate class by avoiding contacts with the heavy drinkers. Furthermore we assume that cumulative density of awareness programs increases at a rate proportional to the number of heavy drinkers. We establish some sufficient conditions for the stability of the alcohol free and the alcohol present equilibria and give some numerical simulations to explain our main result. Our results show that awareness programs is an effective measure in reducing alcohol problems.
Mathematics Subject Classification ID: 91D10
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7023351
Wikidata QID: Q59042972
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/938080
OpenAlex ID: W2087885405
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description: scientific article; zbMATH DE number 7023351