Model of phenotypic evolution in hermaphroditic populations

We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, which describes the evolution of phenotypic distribut...

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Detalles Bibliográficos
Autores principales: Rudnicki, Ryszard, Zwoleński, Paweł
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2014
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4365287/
https://www.ncbi.nlm.nih.gov/pubmed/24832543
http://dx.doi.org/10.1007/s00285-014-0798-3
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author Rudnicki, Ryszard
Zwoleński, Paweł
author_facet Rudnicki, Ryszard
Zwoleński, Paweł
author_sort Rudnicki, Ryszard
collection PubMed
description We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, which describes the evolution of phenotypic distribution. The main result of the paper is a theorem on asymptotic stability of trait distribution. This theorem is applied to models with the offspring trait distribution given by additive and multiplicative random perturbations of the parental mean trait.
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spelling pubmed-43652872015-03-26 Model of phenotypic evolution in hermaphroditic populations Rudnicki, Ryszard Zwoleński, Paweł J Math Biol Article We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, which describes the evolution of phenotypic distribution. The main result of the paper is a theorem on asymptotic stability of trait distribution. This theorem is applied to models with the offspring trait distribution given by additive and multiplicative random perturbations of the parental mean trait. Springer Berlin Heidelberg 2014-05-16 2015 /pmc/articles/PMC4365287/ /pubmed/24832543 http://dx.doi.org/10.1007/s00285-014-0798-3 Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Article
Rudnicki, Ryszard
Zwoleński, Paweł
Model of phenotypic evolution in hermaphroditic populations
title Model of phenotypic evolution in hermaphroditic populations
title_full Model of phenotypic evolution in hermaphroditic populations
title_fullStr Model of phenotypic evolution in hermaphroditic populations
title_full_unstemmed Model of phenotypic evolution in hermaphroditic populations
title_short Model of phenotypic evolution in hermaphroditic populations
title_sort model of phenotypic evolution in hermaphroditic populations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4365287/
https://www.ncbi.nlm.nih.gov/pubmed/24832543
http://dx.doi.org/10.1007/s00285-014-0798-3
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