Optimal birth control for predator-prey system of three species with age-structure

被引：13

作者：

Luo, ZX ^{[1
]}

He, ZR

Li, WT

机构：

[1] Xian Jiaotong Univ, Dept Math, Xian 710049, Peoples R China

[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 155卷 / 03期

基金：

中国国家自然科学基金;

关键词：

population model; age-dependence; system of partial differential equations; optimal control; the maximum principle;

D O I：

10.1016/S0096-3003(03)00808-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate optimal policies for three age-dependent populations in a predator-prey system, which is controlled by fertility. By using Dubovitskii-Milyutin's general theory, the maximum principles are obtained for problems with free terminal states, infinite horizon and target sets, respectively. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：665 / 685

页数：21

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