Author:
Calsina Àngel,Cuadrado Sílvia,Desvillettes Laurent,Raoul Gaël
Abstract
We consider a selection–mutation equation for the density of individuals with respect to a continuous phenotypic evolutionary trait. We assume that the competition term for an individual with a given trait depends on the traits of all the other individuals, therefore giving an infinite-dimensional nonlinearity. Mutations are modelled by means of an integral operator. We prove existence of steady states and show that, when the mutation rate goes to zero, the asymptotic profile of the population is a Cauchy distribution.
Publisher
Cambridge University Press (CUP)
Cited by
23 articles.
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