Effect of the degree of an initial mutant in Moran processes in structured populations
Populations and Evolution
2025-05-30 v2
Abstract
We study the effect of the mutant's degree on the fixation probability, extinction and fixation times, in the Moran process on Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert graphs. We performed stochastic simulations and use mean-field type approximations to obtain analytical formulas. We showed that the initial placement of a mutant has a significant impact on the fixation probability and extinction time, while it has no effect on the fixation time. In both types of graphs, an increase in the degree of a initial mutant results in a decreased fixation probability and a shorter time to extinction.
Keywords
Cite
@article{arxiv.2306.06407,
title = {Effect of the degree of an initial mutant in Moran processes in structured populations},
author = {Javad Mohamadichamgavi and Jacek Miȩkisz},
journal= {arXiv preprint arXiv:2306.06407},
year = {2025}
}
Comments
11 pages, 13 figures