TBI Preprint 02-bmrs-003

Diffusion of a Population of Interacting Replicators in Sequence Space

Author(s):
B.M.R. Stadler

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To appear in:
Adv. Complex Syst. (2002)

Abstract:
We consider a simple model for catalyzed replication. Computer simulations show that a finite population moves in sequence space by diffusion analgous to the behavior of a quasispecies on a flat fitness landscape. The diffusion constant depends linearly on the per position mutation rate and the ratio of sequence length and population size.

Keywords: Replicator Dynamics, Diffusion in Sequence Space, Finite haploid populations



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