Model of phenotypic evolution in hermaphroditic populations
Probability
2013-09-13 v1 Classical Analysis and ODEs
Populations and Evolution
Abstract
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 distribution of phenotypic traits. Existence of an one-dimensional attractor is proved and the formula for the density of phenotypic traits in the limiting (asymptotic) population is derived in some particular case.
Keywords
Cite
@article{arxiv.1309.3243,
title = {Model of phenotypic evolution in hermaphroditic populations},
author = {Ryszard Rudnicki and Paweł Zwoleński},
journal= {arXiv preprint arXiv:1309.3243},
year = {2013}
}