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Long time evolution of populations under selection and vanishing mutations

  • ENS Paris-Saclay

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalActa Applicandae Mathematicae
Volume114
Issue number1-2
DOIs
Publication statusPublished - 1 Apr 2011
Externally publishedYes

Keywords

  • Adaptive dynamics
  • Asymptotic analysis
  • ESS
  • Integro-differential equation

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