About: Necessary Optimality Conditions for a Lotka-Volterra Three Species System

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Attributs	Valeurs
type	work Article
Is Part Of	Population dynamics
Subject	bang-bang control Control problems Optimal control problems involving ordinary differential equations Problems involving ordinary differential equations General biology and biomathematics Systems governed by ordinary differential equations cost functional Pontrjagin's maximum principle adjoint system transversality conditions
Title	Necessary Optimality Conditions for a Lotka-Volterra Three Species System
Date	2006-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/mmnp/2006/volume_1/issue_1/mmnp2006107/m/web http://hub.abes.fr/edp/periodical/mmnp/2006/volume_1/issue_1/mmnp2006107/m/print
related by	http://hub.abes.fr/edp/periodical/mmnp/2006/volume_1/issue_1/mmnp2006107/authorship/1
Author	Apreutesei, N. C.
Abstract	An optimal control problem is studied for a Lotka-Volterra system of three differential equations. It models an ecosystem of three species which coexist. The species are supposed to be separated from each others. Mathematically, this is modeled with the aid of two control variables. Some necessary conditions of optimality are found in order to maximize the total number of individuals at the end of a given time interval.
article type	research-article
publisher identifier	mmnp2006107
Date Copyrighted	2006-01-01(xsd:dateTime)
Rights	© EDP Sciences, 2006
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/2006/volume_1/issue_1/mmnp2006107/w/record

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