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- Title
Asymptotic Behavior of Eigen’s Quasispecies Model.
- Authors
Dalmau, Joseba
- Abstract
We study Eigen’s quasispecies model in the asymptotic regime where the length of the genotypes goes to ∞<inline-graphic></inline-graphic> 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.
- Subjects
GENOTYPES; EIGENANALYSIS; DIFFERENTIAL equations; ASYMPTOTIC theory of algebraic ideals; GENETIC mutation; DISCRETE time filters; MATHEMATICAL models
- Publication
Bulletin of Mathematical Biology, 2018, Vol 80, Issue 7, p1689
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-018-0420-8