# American Institute of Mathematical Sciences

January  2012, 11(1): 83-96. doi: 10.3934/cpaa.2012.11.83

## 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, France

Received  January 2010 Revised  July 2010 Published  September 2011

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.
Citation: Anton Arnold, Laurent Desvillettes, Céline Prévost. Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Communications on Pure & Applied Analysis, 2012, 11 (1) : 83-96. doi: 10.3934/cpaa.2012.11.83
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