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

ENS Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1-14
Nombre de pages	14
journal	Acta Applicandae Mathematicae
Volume	114
Numéro de publication	1-2
Les DOIs	https://doi.org/10.1007/s10440-011-9603-0
état	Publié - 1 avr. 2011
Modification externe	Oui

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10.1007/s10440-011-9603-0

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title = "Long time evolution of populations under selection and vanishing mutations",

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.",

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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.

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KW - Asymptotic analysis

KW - ESS

KW - Integro-differential equation

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Long time evolution of populations under selection and vanishing mutations

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