Diffusion approximation for an age-class-structured population under viability and fertility selection with application to fixation probability of an advantageous mutant.
Age-class-structured population
Diffusion approximation
Fixation probability
Frequency-dependent selection
Leslie matrix
Population-structure coefficient
Reproductive value
Two timescales
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
12 2019
12 2019
Historique:
received:
16
10
2018
revised:
22
05
2019
pubmed:
31
8
2019
medline:
29
9
2020
entrez:
31
8
2019
Statut:
ppublish
Résumé
In this paper, we ascertain the validity of a diffusion approximation for the frequencies of different types under recurrent mutation and frequency-dependent viability and fertility selection in a haploid population with a fixed age-class structure in the limit of a large population size. The approximation is used to study, and explain in terms of selection coefficients, reproductive values and population-structure coefficients, the differences in the effects of viability versus fertility selection on the fixation probability of an advantageous mutant.
Identifiants
pubmed: 31468115
doi: 10.1007/s00285-019-01420-w
pii: 10.1007/s00285-019-01420-w
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
2069-2110Références
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