Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape
arXiv:cond-mat/0606101 · doi:10.1088/1742-5468/2006/07/L07001
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.
5 pages RevTex 2 figures .eps