Abstract and Applied Analysis

Optimal Control Strategies in an Alcoholism Model

Xun-Yang Wang, Hai-Feng Huo, Qing-Kai Kong, and Wei-Xuan Shi

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 954069, 18 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412607560

Digital Object Identifier
doi:10.1155/2014/954069

Mathematical Reviews number (MathSciNet)
MR3178903

Zentralblatt MATH identifier
07023391

Citation

Wang, Xun-Yang; Huo, Hai-Feng; Kong, Qing-Kai; Shi, Wei-Xuan. Optimal Control Strategies in an Alcoholism Model. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 954069, 18 pages. doi:10.1155/2014/954069. https://projecteuclid.org/euclid.aaa/1412607560


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