Optimal control of growth coefficient on a steady-state population model

被引：42

作者：

Ding, W. ^{[2
]}

Finotti, H. ^{[1
]}

Lenhart, S. ^{[1
]}

Lou, Y. ^{[3
]}

Ye, Q. ^{[4
]}

机构：

[1] Univ Tennessee, Dept Math, 121 Ayres Hall, Knoxville, TN 37996 USA

[2] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA

[3] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[4] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Optimal control; Elliptic PDE; Population size; Growth coefficient; SPATIAL HETEROGENEITY; PRINCIPAL EIGENVALUE; INDEFINITE WEIGHT; EQUATIONS; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.nonrwa.2009.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the control problem of maximizing the net benefit in the conservation of a single species with a fixed amount of resources. The existence of an optimal control is established and the uniqueness and characterization of the optimal control are investigated. Numerical simulations illustrate several cases, for both 1D and 2D domains, in which several interesting phenomena are found. Some open problems are discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：688 / 704

页数：17

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