Global stability for a binge drinking model with two stages
type: Item
instance of: scholarly article
title: Global stability for a binge drinking model with two stages
zbMATH Open document ID: 1253.91157
DOI: 10.1155/2012/829386
author: Haifeng Huo
author: Nana Song
published in: Discrete Dynamics in Nature and Society
publication date: 2012-12-18T00:00:00Z
review text: Summary: A more realistic two-stage model for binge drinking problem is introduced, where the youths with alcohol problems are divided into those who admit the problem and those who do not admit it. We also consider the direct transfer from the class of susceptible individuals towards the class of admitting drinkers. Mathematical analyses establish that the global dynamics of the model are determined by the basic reproduction number, \(R_0\). The alcohol-free equilibrium is globally asymptotically stable, and the alcohol problems are eliminated from the population if \(R_0 < 1\). A unique alcohol-present equilibrium is globally asymptotically stable if \(R_0 > 1\). Numerical simulations are also conducted in the analytic results.
Mathematics Subject Classification ID: 91D30
Mathematics Subject Classification ID: 37N40
Mathematics Subject Classification ID: 91B74
zbMATH DE Number: 6116527
zbMATH Keywords: two stage model
zbMATH Keywords: binge drinking problem
Wikidata QID: Q58700787
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/829386
OpenAlex ID: W2096162779
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description: scientific article; zbMATH DE number 6116527