On some spectral problems arising in dynamic populations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Communications on Pure and Applied Mathematics Année : 2011

On some spectral problems arising in dynamic populations

Résumé

We study a spectral problem related to a reaction-diffusion model where the preys and the predators do not live on the same area. We are interested in the optimal zone where the control should take place. First we prove existence of an optimal domain in a natural class. Then, it seems plausible that the optimal domain is localized in the intersection of the living areas of the two species. We prove this fact in one dimension for small size of domains.
Fichier principal
Vignette du fichier
HLS1.pdf (131.68 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00585251 , version 1 (12-04-2011)
hal-00585251 , version 2 (25-11-2011)

Identifiants

  • HAL Id : hal-00585251 , version 1

Citer

Antoine Henrot, El Haj Laamri, Didier Schmitt. On some spectral problems arising in dynamic populations. 2011. ⟨hal-00585251v1⟩
612 Consultations
290 Téléchargements

Partager

Gmail Facebook X LinkedIn More