Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape
Statistical Mechanics
2009-11-11 v3 Populations and Evolution
Abstract
A simplified form of the time dependent evolutionary dynamics of a quasispecies model with a rugged fitness landscape is solved via a mapping onto a random flux model whose asymptotic behavior can be described in terms of a random walk. The statistics of the number of changes of the dominant genotype from a finite set of genotypes are exactly obtained confirming existing conjectures based on numerics.
Keywords
Cite
@article{arxiv.cond-mat/0606101,
title = {Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape},
author = {Clement Sire and Satya N. Majumdar and David S. Dean},
journal= {arXiv preprint arXiv:cond-mat/0606101},
year = {2009}
}
Comments
5 pages RevTex 2 figures .eps