The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We propose and analyze a mathematical model for alcohol drinking problem.
The transmission process is modeled as a social “contact” process between “heavy” alcohol drinkers and “light” alcohol drinkers within an unchanging shared drinking environment.
The basic reproductive number of the model is computed and the stability of the model steady states is investigated.
Further, the model is fitted to data on alcohol drinking for Cape Town and Gauteng, South Africa.
In addition, the basic model is extended to incorporate three time dependent intervention strategies.
The control functions represent the efforts and policies aimed at weakening the intensity of social interactions between light and heavy drinkers and increase the fraction of treated individuals who permanently quit alcohol drinking.
Optimal control results suggest that effective control of high-risk alcohol drinking can be achieved if more resources and efforts are devoted on weakening the intensity of social interactions between light and heavy drinkers.
American Psychological Association (APA)
Mushayabasa, Steady. 2015. The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067060
Modern Language Association (MLA)
Mushayabasa, Steady. The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects. Journal of Applied Mathematics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1067060
American Medical Association (AMA)
Mushayabasa, Steady. The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067060
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067060