Optimal Control Problem for a Reaction-Diffusion System of Three Populations

被引：1

作者：

Wang, Xiaoni ^{[1
]}

Guo, Gaihui ^{[2
]}

Li, Jian ^{[1
,2
]}

机构：

[1] Shaanxi Univ Sci & Technol, Sch Elect & Control Engn, Xian 710021, Shaanxi, Peoples R China

[2] Shaanxi Univ Sci & Technol, Sch Math & Data Sci, Xian 710021, Shaanxi, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2021年 / 11卷 / 04期

关键词：

Optimal control; reaction-diffusion; controlled system; optimality conditions; OPTIMAL-CONTROL STRATEGIES; PREDATOR; 2ND-ORDER; ECOSYSTEM; MODEL;

D O I：

10.4208/eajam.281020.290421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The work deals with an optimal control problem for a reaction-diffusion system comprising two competing populations, one of which is a prey for a third population. In order to maximise the total density of these populations, the existence and uniqueness of a positive strong solution of a controlled system are studied. After that, the techniques of minimal sequences is used in order to show the existence of an optimal solution. The first and second order optimality conditions are also constructed.

引用

页码：808 / 828

页数：21

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