Abstract:
:We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to [Formula: see text] and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove convergence of trajectories, as well as convergence of the equilibrium solutions. We give analogous results for a discrete-time version of Eigen's model, which coincides with a model proposed by Moran.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Dalmau Jdoi
10.1007/s11538-018-0420-8subject
Has Abstractpub_date
2018-07-01 00:00:00pages
1689-1712issue
7eissn
0092-8240issn
1522-9602pii
10.1007/s11538-018-0420-8journal_volume
80pub_type
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