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dc.contributor.authorCalsina, Àngel
dc.contributor.authorCuadrado, Sílvia
dc.contributor.authorDesvillettes, Laurent
dc.contributor.authorRaoul, Gaël
dc.date.accessioned2016-02-25T12:43:20Z
dc.date.available2016-02-25T12:43:20Z
dc.date.issued2013-12-03
dc.identifier.citationCalsina À, Cuadrado S, Desvillettes L, Raoul G (2013) Asymptotics of steady states of a selection–mutation equation for small mutation rate. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143: 1123–1146. Available: http://dx.doi.org/10.1017/S0308210510001629.
dc.identifier.issn0308-2105
dc.identifier.issn1473-7124
dc.identifier.doi10.1017/S0308210510001629
dc.identifier.urihttp://hdl.handle.net/10754/597628
dc.description.abstractWe consider a selection-mutation equation for the density of individuals with respect to a continuous phenotypic evolutionary trait. We assume that the competition term for an individual with a given trait depends on the traits of all the other individuals, therefore giving an infinite-dimensional nonlinearity. Mutations are modelled by means of an integral operator. We prove existence of steady states and show that, when the mutation rate goes to zero, the asymptotic profile of the population is a Cauchy distribution. © Royal Society of Edinburgh 2013.
dc.description.sponsorshipA.C. and S. C. were partly supported by Grant nos MTM2008-06349-C03-03, 2009-SGR-345 and MTM2011-27739-C04-02. L. D. and G. R. were partly supported by Project CBDif-Fr ANR-08-BLAN-0333-01. G. R. was partly supported by Award no. KUK-I1-007-43 of Peter A. Markowich, made by the King Abdullah University of Science and Technology (KAUST). Finally, all authors were partly supported by the bilateral PICASSO project POLYCELL, Grant no. 22978WA.
dc.publisherCambridge University Press (CUP)
dc.titleAsymptotics of steady states of a selection–mutation equation for small mutation rate
dc.typeArticle
dc.identifier.journalProceedings of the Royal Society of Edinburgh: Section A Mathematics
dc.contributor.institutionUniversidad Autonoma de Barcelona, Barcelona, Spain
dc.contributor.institutionEcole Normale Superieure de Cachan, Cachan, France
dc.contributor.institutionCEFE Centre d'Ecologie Fonctionnelle et Evolutive UMR 5175, Montpellier, France
kaust.grant.numberKUK-I1-007-43
dc.date.published-online2013-12-03
dc.date.published-print2013-12


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