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

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

2006-06-05

arxiv.org/abs/cond-mat/0606101v3

J. Stat. Mech., L07001 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages RevTex 2 figures .eps

Scientific paper

10.1088/1742-5468/2006/07/L07001

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.

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