Long Time Evolution of Populations under Selection and Vanishing Mutations

Gaël Raoul

doi:10.1007/s10440-011-9603-0

Long Time Evolution of Populations under Selection and Vanishing Mutations

Gaël Raoul

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	Acta Applicandae Mathematicae
Volume	114
Issue number	1-2
DOIs	https://doi.org/10.1007/s10440-011-9603-0
State	Published - Feb 8 2011
Externally published	Yes

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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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. {\textcopyright} 2011 Springer Science+Business Media B.V.",

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N2 - 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.

AB - 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.

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Long Time Evolution of Populations under Selection and Vanishing Mutations

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