Control problems of an age-dependent predator-prey system

被引：2

作者：

He Ze-rong ^{[1
]}

Wang Hai-tao ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2009年 / 24卷 / 03期

基金：

中国国家自然科学基金;

关键词：

predator-prey; optimal control; species; age-structure; maximum principle; OPTIMAL BIRTH-CONTROL; POPULATION-DYNAMICS; MODEL; DIFFUSION;

D O I：

10.1007/s11766-009-2104-5

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 problems for a system consisting of two populations with age-structure and interaction of predator-prey. Existence and uniqueness of non-negative solutions to the system and the continuous dependence of solutions on control variables are investigated. Existence of optimal policy is discussed, optimality conditions are derived by means of normal cone and adjoint system techniques.

引用

页码：253 / 262

页数：10

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