Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape

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

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