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An Optimal Control Problem for a Predator-PreyReaction-Diffusion System

Published online by Cambridge University Press:  13 September 2010

N. C. Apreutesei
N. C. Apreutesei*
Affiliation:
Department of Mathematics, Technical University "Gh. Asachi" Iasi, 11, Bd. Carol I 700506 Iasi, Romania
*
*Corresponding author: E-mail:napreut@gmail.com
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Abstract

An optimal control problem is studied for a predator-prey system of PDE, with a logisticgrowth rate of the prey and a general functional response of the predator. The controlfunction has two components. The purpose is to maximize a mean density of the two speciesin their habitat. The existence of the optimal solution is analyzed and some necessaryoptimality conditions are established. The form of the optimal control is found in someparticular cases.

Keywords

adjoint systemfunctional response of the predatorlogistic growth ratemaximum principleoptimality conditions
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 6: Ecology (Part 2) , 2010 , pp. 180 - 195
Copyright
© EDP Sciences, 2010

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