Summary: Manuscript submitted to Website: http://AIMsciences.org
AIMS' Journals
Volume X, Number 0X, XX 200X pp. X­XX
EXISTENCE OF NONTRIVIAL STEADY STATES FOR
POPULATIONS STRUCTURED WITH RESPECT TO SPACE
AND A CONTINUOUS TRAIT
Anton Arnold
Institut f¨ur Analysis und Scientific Computing,
Technische Universit¨at Wien,
Wiedner Hauptstr. 8,
A-1040 Wien, Austria
Laurent Desvillettes
CMLA, ENS Cachan, CNRS & IUF, PRES UniverSud,
61 avenue du Pr´esident Wilson,
F-94235 Cachan, France
C´eline Pr´evost
MAPMO, Universit´e d'Orl´eans,
F-45067 Orl´eans Cedex, France
Abstract. We prove the existence of nontrivial steady states to reaction-
diffusion equations with a continuous parameter appearing in selection/mutation/compe-

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

Collections: Mathematics