The distribution of the quasispecies for the Wright-Fisher model on the\n sharp peak landscape

2014/03/27 by Joseba Dalmau, Dalmau, Joseba
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1403.6951

openalex publication_date 2014/03/27 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We consider the classical Wright-Fisher model with mutation and selection.\nMutations occur independently in each locus, and selection is performed\naccording to the sharp peak landscape. In the asymptotic regime studied in [3],\na quasispecies is formed. We find explicitly the distribution of this\nquasispecies, which turns out to be the same distribution as for the Moran\nmodel.\n

Citations

• A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
• Selforganization of matter and the evolution of biological macromolecules

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