DIFFUSION OF A POPULATION OF INTERACTING REPLICATORS IN SEQUENCE SPACE

Bärbel M. R. Stadler ()
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Bärbel M. R. Stadler: Max Planck Institute for Mathematics in the Sciences, Inselstraße 22-26, D-04103 Leipzig, Germany;

Advances in Complex Systems (ACS), 2002, vol. 05, issue 04, 457-461

Abstract: We consider a simple model for catalyzed replication. Computer simulations show that a finite population moves in sequence space by diffusion analogous 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 (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:05:y:2002:i:04:n:s0219525902000675

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DOI: 10.1142/S0219525902000675

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