On the optimal harvesting of size-structured population dynamics

被引：11
|
作者：
Liu Yan [1 ]
Cheng Xiao-liang [1 ]
He Ze-rong [2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2013年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Body size; population model; optimal harvest; maximum principle; normal cone; OPTIMAL BIRTH-CONTROL; AGE; MODEL;
D O I：
10.1007/s11766-013-2965-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is concerned with a kind of optimal control problem for a size-structured biological population model. Well-posedness of the state system and an adjoint system are proved by means of Banach's fixed point theorem. Existence and uniqueness of optimal control are shown by functional analytical approach. Optimality conditions describing the optimal strategy are established via tangent and normal cones technique. The results are of the first ones for this novel structure.
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页码：173 / 186
页数：14
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