Long Time Evolution of Populations under Selection and Vanishing Mutations

Gaël Raoul

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalActa Applicandae Mathematicae
Issue number1-2
StatePublished - Feb 8 2011
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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