OPTIMAL CONTROL FOR A PREDATOR-PREY SYSTEM WITH AGE-DEPENDENT

被引：4

作者：

Luo, Zhixue ^{[1
,2
]}

机构：

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

[2] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2009年 / 2卷 / 01期

关键词：

Predator-prey; age-dependence; optimal harvesting control; the maximum principle; OPTIMAL BIRTH-CONTROL; FOOD-CHAIN MODEL; POPULATION-DYNAMICS;

D O I：

10.1142/S1793524509000467

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with optimal harvesting policy for predator-prey system of three species with age-dependent. The existence and uniqueness of non-negative solution of the system are proved using the fixed pint 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.

引用

页码：45 / 59

页数：15

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