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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/938080 |
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| _version_ | 1832555021352304640 |
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| author | Hai-Feng Huo Qian Wang |
| author_facet | Hai-Feng Huo Qian Wang |
| author_sort | Hai-Feng Huo |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-02f3b98686e24a3493b631716a198ec4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-02f3b98686e24a3493b631716a198ec42025-02-03T05:49:42ZengWileyAbstract 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 |
| spellingShingle | Hai-Feng Huo Qian Wang Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/938080 |
| work_keys_str_mv | AT haifenghuo modellingtheinfluenceofawarenessprogramsbymediaonthedrinkingdynamics AT qianwang modellingtheinfluenceofawarenessprogramsbymediaonthedrinkingdynamics |