Asymptotic behavior of Eigen's quasispecies model
Autor: | Dalmau, Joseba |
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Rok vydání: | 2017 |
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Druh dokumentu: | Working Paper |
Popis: | We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to infinity and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove the convergence of the trajectories, as well as the convergence of the equilibrium solutions. We give the analogous results for a discrete-time version of Eigen's model, which coincides with a model proposed by Moran. |
Databáze: | arXiv |
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