On discrete evolutionary dynamics driven by quadratic interactions
Populations and Evolution
2016-07-08 v1
Abstract
After an introduction to the general topic of models for a given locus of a diploid population whose quadratic dynamics is determined by a fitness landscape, we consider more specifically the models that can be treated using genetic (or train) algebras. In this setup, any quadratic offspring interaction can produce any type of offspring and after the use of specific changes of basis, we study the evolution and possible stability of some examples. We also consider some examples that cannot be treated using the framework of genetic algebras. Among these are bistochastic matrices.
Cite
@article{arxiv.1607.01885,
title = {On discrete evolutionary dynamics driven by quadratic interactions},
author = {Nicolas Grosjean and Thierry Huillet and Geneviève Rollet},
journal= {arXiv preprint arXiv:1607.01885},
year = {2016}
}
Comments
To appear in Theory in Biosciences