Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect

Free access article

Issue		ESAIM: COCV Volume 2, 1997


Page(s)		1 - 12
DOI		10.1051/cocv:1997100

ESAIM: COCV, Vol. 2, pp. 1-12
DOI: 10.1051/cocv:1997100

Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect

J.L. Gamez and J.A. Montero

Abstract
Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.

Résumé
L'unicité du contrôle optimal est obtenue sous certaines conditions sur l'effet de la surpopulation des espèces. De plus, une méthode d'approximation de l'unique contrôle optimal est développée.

Key words: Optimal control / Volterra-Lokta elliptic equations / existence / uniqueness / approximation / lower- and upper-solutions.

© EDP Sciences, SMAI 1997

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