Long Time Evolution of Populations under Selection and Vanishing Mutations

Handle URI:
http://hdl.handle.net/10754/598229
Title:
Long Time Evolution of Populations under Selection and Vanishing Mutations
Authors:
Raoul, Gaël
Abstract:
In this paper, we consider a long time and vanishing mutations limit of an integro-differential model describing the evolution of a population structured with respect to a continuous phenotypic trait. We show that the asymptotic population is a steady-state of the evolution equation without mutations, and satisfies an evolutionary stability condition. © 2011 Springer Science+Business Media B.V.
Citation:
Raoul G (2011) Long Time Evolution of Populations under Selection and Vanishing Mutations. Acta Appl Math 114: 1–14. Available: http://dx.doi.org/10.1007/s10440-011-9603-0.
Publisher:
Springer Nature
Journal:
Acta Applicandae Mathematicae
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
8-Feb-2011
DOI:
10.1007/s10440-011-9603-0
Type:
Article
ISSN:
0167-8019; 1572-9036
Sponsors:
The author has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorRaoul, Gaëlen
dc.date.accessioned2016-02-25T13:40:02Zen
dc.date.available2016-02-25T13:40:02Zen
dc.date.issued2011-02-08en
dc.identifier.citationRaoul G (2011) Long Time Evolution of Populations under Selection and Vanishing Mutations. Acta Appl Math 114: 1–14. Available: http://dx.doi.org/10.1007/s10440-011-9603-0.en
dc.identifier.issn0167-8019en
dc.identifier.issn1572-9036en
dc.identifier.doi10.1007/s10440-011-9603-0en
dc.identifier.urihttp://hdl.handle.net/10754/598229en
dc.description.abstractIn this paper, we consider a long time and vanishing mutations limit of an integro-differential model describing the evolution of a population structured with respect to a continuous phenotypic trait. We show that the asymptotic population is a steady-state of the evolution equation without mutations, and satisfies an evolutionary stability condition. © 2011 Springer Science+Business Media B.V.en
dc.description.sponsorshipThe author has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSpringer Natureen
dc.subjectAdaptive dynamicsen
dc.subjectAsymptotic analysisen
dc.subjectESSen
dc.subjectIntegro-differential equationen
dc.titleLong Time Evolution of Populations under Selection and Vanishing Mutationsen
dc.typeArticleen
dc.identifier.journalActa Applicandae Mathematicaeen
dc.contributor.institutionEcole Normale Superieure de Cachan, Cachan, Franceen
kaust.grant.numberKUK-I1-007-43en
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