Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics

Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics

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...

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Main Authors: Hai-Feng Huo, Qian Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/938080
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spelling doaj-02f3b98686e24a3493b631716a198ec42020-11-25T01:05:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/938080938080Modelling the Influence of Awareness Programs by Media on the Drinking DynamicsHai-Feng Huo0Qian Wang1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaWe 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.http://dx.doi.org/10.1155/2014/938080
collection DOAJ
language English
format Article
sources DOAJ
author Hai-Feng Huo
Qian Wang
spellingShingle Hai-Feng Huo
Qian Wang
Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
Abstract and Applied Analysis
author_facet Hai-Feng Huo
Qian Wang
author_sort Hai-Feng Huo
title Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
title_short Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
title_full Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
title_fullStr Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
title_full_unstemmed Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
title_sort modelling the influence of awareness programs by media on the drinking dynamics
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/938080
work_keys_str_mv AT haifenghuo modellingtheinfluenceofawarenessprogramsbymediaonthedrinkingdynamics
AT qianwang modellingtheinfluenceofawarenessprogramsbymediaonthedrinkingdynamics
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