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Lookdown Model with Selection and Mutation

Volume 21, Number 2 (2018), 15 - 26

Lookdown Model with Selection and Mutation

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Abstract

The purpose of this article is to study the look-down model with selection and mutation in the case of a population containing two types of individuals, where the population size $N$ is finite and fixed. We show (Theorem 3.6) that the proportion of one of the two types converges, as the population size $N$ tends to infinity, towards the Wright-Fisher diffusion with selection and mutation.