On discrete-time multiallelic evolutionary dynamics driven by selection
type: Item
instance of: scholarly article
title: On discrete-time multiallelic evolutionary dynamics driven by selection
zbMATH Open document ID: 1201.92051
DOI: 10.1155/2010/580762
author: Thierry E. Huillet
published in: Journal of Probability and Statistics
publication date: 2010-12-01T00:00:00Z
full work available at URL: https://eudml.org/doc/227300
review text: Summary: We revisit some problems arising in the context of multiallelic discrete-time evolutionary dynamics driven by fitness. We consider both the deterministic and the stochastic setups, and for the latter both the Wright-Fisher and the Moran approaches. In the deterministic formulation, we construct a Markov process whose master equation identifies with the nonlinear deterministic evolutionary equation. Then, we draw the attention on a class of fitness matrices that plays some role in the important matter of polymorphism: the class of strictly ultrametric fitness matrices. In the random cases, we focus on fixation probabilities, on various conditionings on non-fixation, and on (quasi)stationary distributions.
Mathematics Subject Classification ID: 92D15
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 60J99
zbMATH DE Number: 5822159
Wikidata QID: Q58652670
MaRDI profile type: Publication
OpenAlex ID: W2053024096
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description: scientific article; zbMATH DE number 5822159