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Pré-Publication, Document De Travail Année : 2017

Existence of recombination-selection equilibria for sexual populations

Résumé

We study a birth and death model for the adapatation of a sexual population to an environment. The population is structured by a phenotypical trait, and, possibly, an age variable. Recombination is modeled by Fisher's infinitesimal operator. We prove the existence of principal eigenelements for the corresponding eigenproblem. As the infinitesimal operator is 1-homogeneous but nor linear nor monotone, the general Kre˘ ın-Rutman theory cannot be applied to this problem.
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Dates et versions

hal-01489695 , version 1 (14-03-2017)
hal-01489695 , version 2 (22-03-2017)

Identifiants

  • HAL Id : hal-01489695 , version 2

Citer

Thibault Bourgeron, Vincent Calvez, Jimmy Garnier, Thomas Lepoutre. Existence of recombination-selection equilibria for sexual populations. 2017. ⟨hal-01489695v2⟩
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