Optimal Control Strategies in an Alcoholism Model
Joint Authors
Huo, Hai-Feng
Wang, Xun-Yang
Kong, Qing-Kai
Shi, Wei-Xuan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Xun-Yang& Huo, Hai-Feng& Kong, Qing-Kai& Shi, Wei-Xuan. 2014. Optimal Control Strategies in an Alcoholism Model. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1034131
Modern Language Association (MLA)
Wang, Xun-Yang…[et al.]. Optimal Control Strategies in an Alcoholism Model. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1034131
American Medical Association (AMA)
Wang, Xun-Yang& Huo, Hai-Feng& Kong, Qing-Kai& Shi, Wei-Xuan. Optimal Control Strategies in an Alcoholism Model. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1034131
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034131