Optimal control of harvesting in a parabolic system modeling two subpopulations

被引：17
|
作者：
Lenhart, SM [1 ]
Montero, JA
机构：
[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA
[2] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 07期
基金：
美国国家科学基金会;
关键词：
optimal control; parabolic equations; existence; uniqueness; population models;
D O I：
10.1142/S0218202501000982
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An optimal harvesting problem for a parabolic partial differential system modeling two subpopulations of the same species is investigated. The two subpopulations axe competing for resources. Under conditions on the smallness of the time interval and certain biological parameters, existence and uniqueness of an optimal control pair are established.
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页码：1129 / 1141
页数：13
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