PERIODIC OPTIMAL-CONTROL FOR PARABOLIC VOLTERRA-LOTKA TYPE EQUATIONS

被引：12

作者：

HE, FY

LEUNG, A

STOJANOVIC, S

机构：

[1] Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1995年 / 18卷 / 02期

关键词：

D O I：

10.1002/mma.1670180204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the optimal harvesting control of a biological species, whose growth is governed by the parabolic diffusive Volterra-Lotka equation. We prove that such equation with Lm periodic coefficients has an unique positive periodic solution. We show the existence and uniqueness of an optimal control, and under certain conditions, we characterize the optimal control in terms of a parabolic optimality system. A monotone sequence which converges to the optimal control is constructed.

引用

页码：127 / 146

页数：20

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