Optimal harvesting control problem for an age-dependent competing system of n species

被引：22

作者：

Luo, Zhixue ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期

关键词：

competing system; age-dependence; optimal harvesting control; the maximum principle;

D O I：

10.1016/j.amc.2006.05.180

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with optimal harvesting policy for an age-dependent n-dimension competing species. The existence and uniqueness of nonnegative solution of the system are proved using the fixed point theorem. The existence of optimal control strategy is discussed, optimality conditions are derived by means of normal cone and Dubovitskii-Milyutin's general theory. Our results extend some known criteria. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：119 / 127

页数：9

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