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Optimal Control Strategies in an Alcoholism Model
- Source :
- Abstract and Applied Analysis, Vol 2014 (2014)
- Publication Year :
- 2014
- Publisher :
- Wiley, 2014.
-
Abstract
- This paper presents a deterministic SATQ-type mathematical model (including susceptible, alcoholism, treating, and quitting compartments) for the spread of alcoholism with two control strategies to gain insights into this increasingly concerned about health and social phenomenon. Some properties of the solutions to the model including positivity, existence and stability are analyzed. The optimal control strategies are derived by proposing an objective functional and using Pontryagin’s Maximum Principle. Numerical simulations are also conducted in the analytic results.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10853375 and 16870409
- Volume :
- 2014
- Database :
- Directory of Open Access Journals
- Journal :
- Abstract and Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.60b9a983d9c648768f876255b0f7fa0e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2014/954069