Optimal Control Strategies in an Alcoholism Model

被引：32

作者：

Wang, Xun-Yang ^{[1
,2
]}

Huo, Hai-Feng ^{[1
,2
]}

Kong, Qing-Kai ^{[3
]}

Shi, Wei-Xuan ^{[2
]}

机构：

[1] Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

[3] Anhui Ind Univ, Sch Elect & Informat Engn, Maanshan 243032, Anhui, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

D O I：

10.1155/2014/954069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

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