Introduction to Optimal Control for Discrete Time Models with an Application to Disease Modeling

被引：0

作者：

Ding, Wandi ^{[1
]}

Lenhart, Suzanne ^{[2
]}

机构：

[1] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

MODELING PARADIGMS AND ANALYSIS OF DISEASE TRANSMISSION MODELS | 2010年 / 75卷

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

R1 [预防医学、卫生学];

学科分类号：

1004 ; 120402 ;

摘要：

This paper serves as an introduction to the theory of optimal control applied to systems of discrete time models with an emphasis on disease models. We outline the steps in solving such optimal control problems and discuss the necessary conditions. A simple disease example provides detailed methodology in charactering the optimal control through the use of Pontryagin's Maximum Principle. Numerical results are given to illustrate several cases.

引用

页码：109 / +

页数：3

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