Rare Mutations in Evolutionary Dynamics
Dynamical Systems
2020-01-27 v2 Populations and Evolution
Abstract
In this paper we study the effect of rare mutations, driven by a marked point process, on the evolutionary behavior of a population. We derive a Kolmogorov equation describing the expected values of the different frequencies and prove some rigorous analytical results about their behavior. Finally, in a simple case of two different quasispecies, we are able to prove that the rarity of mutations increases the survival opportunity of the low fitness species.
Keywords
Cite
@article{arxiv.1211.4170,
title = {Rare Mutations in Evolutionary Dynamics},
author = {Anna Lisa Amadori and Antonella Calzolari and Roberto Natalini and Barbara Torti},
journal= {arXiv preprint arXiv:1211.4170},
year = {2020}
}