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Long Time Evolution of Populations under Selection and Vanishing Mutations

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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.

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  1. CMLA, ENS Cachan, CNRS, PRES UniverSud, 61 Av. du Pdt. Wilson, 94235, Cachan Cedex, France

    Gaël Raoul

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  1. Gaël Raoul
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Correspondence to Gaël Raoul.

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Raoul, G. Long Time Evolution of Populations under Selection and Vanishing Mutations. Acta Appl Math 114, 1–14 (2011). https://doi.org/10.1007/s10440-011-9603-0

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  • DOI: https://doi.org/10.1007/s10440-011-9603-0

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