Existence of nontrivial steady states for populations structured with respect to space and a continuous trait

Anton Arnold; Laurent Desvillettes; Céline Prévost

doi:10.3934/cpaa.2012.11.83

Article Contents

2012, Volume 11, Issue 1: 83-96. Doi: 10.3934/cpaa.2012.11.83

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Existence of nontrivial steady states for populations structured with respect to space and a continuous trait

1.
Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8, 1040 Wien
2.
ENS Cachan, CMLA, IUF & CNRS, PRES UniverSud, 61, Av. du Pdt Wilson, 94235 Cachan Cedex
3.
MAPMO, Université d'Orléans, F-45067 Orléans Cedex

Received: January 2010

Revised: July 2010

Published: January 2012

Abstract / Introduction Related Papers Cited by

Abstract

We prove the existence of nontrivial steady states to reaction-diffusion equations with a continuous parameter appearing in selection/mutation/competition/migration models for populations, which are structured both with respect to space and a continuous trait.

Keywords:

Structured populations,
infinite-dimensional reaction-diffusion equations,
selection/mutation/competition/migration models.

Mathematics Subject Classification: Primary: 45K05, 92D15; Secondary: 92D25.

Citation:

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