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.

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References in corpus (7)

• Kinetics of Clustering in Traffic Flows
• Self-organized Criticality in Living Systems
• Statistics of Lead Changes in Popularity-Driven Systems
• Evolutionary trajectories in rugged fitness landscapes
• Punctuated evolution for the quasispecies model
• Exact Asymptotic Results for Persistence in the Sinai Model with Arbitrary Drift
• Leadership Statistics in Random Structures

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