About: An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System

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Attributs	Valeurs
type	work Article
Is Part Of	Ecology (Part 2)
Subject	maximum principle optimality conditions Nonlinear parabolic equations Population dynamics (general) Nonlinear systems Systems governed by ordinary differential equations http://msc2010.org/resources/MSC/2010/35K50 adjoint system functional response of the predator logistic growth rate http://msc2010.org/resources/MSC/2010/9K20
Title	An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
Date	2010-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_6/mmnp201056p180/m/web http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_6/mmnp201056p180/m/print
related by	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_6/mmnp201056p180/authorship/1
Author	Apreutesei, N. C.
Abstract	An optimal control problem is studied for a predator-prey system of PDE, with a logistic growth rate of the prey and a general functional response of the predator. The control function has two components. The purpose is to maximize a mean density of the two species in their habitat. The existence of the optimal solution is analyzed and some necessary optimality conditions are established. The form of the optimal control is found in some particular cases.
article type	research-article
publisher identifier	mmnp201056p180
Date Copyrighted	2010-01-01(xsd:dateTime)
Rights	© EDP Sciences, 2010
Rights Holder	EDP Sciences
is part of this journal	Mathematical Modelling of Natural Phenomena
is primary topic of	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_6/mmnp201056p180/w/record

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