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On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-01
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
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 nonfixation, and on (quasi)stationary distributions.
American Psychological Association (APA)
Huillet, Thierry E.. 2010. On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection. Journal of Probability and Statistics،Vol. 2010, no. 2010, pp.1-27.
https://search.emarefa.net/detail/BIM-482434
Modern Language Association (MLA)
Huillet, Thierry E.. On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection. Journal of Probability and Statistics No. 2010 (2010), pp.1-27.
https://search.emarefa.net/detail/BIM-482434
American Medical Association (AMA)
Huillet, Thierry E.. On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection. Journal of Probability and Statistics. 2010. Vol. 2010, no. 2010, pp.1-27.
https://search.emarefa.net/detail/BIM-482434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482434