Separable models for age-structured population genetics
type: Item
instance of: scholarly article
title: Separable models for age-structured population genetics
zbMATH Open document ID: 0635.92009
DOI: 10.1007/BF00280174
published in: Journal of Mathematical Biology
publication date: 1988-01-01T00:00:00Z
review text: This paper is concerned with the applications of nonlinear age-dependent dynamics to population genetics. Age-structured models are formulated for a single autosomal locus with an arbitrary number of alleles. The following cases are considered: a) haploid populations with selection and mutation; b) monoecious diploid populations with or without mutation reproducing by self-fertilization or by two types of random mating. The diploid models do not deal with selection. For these cases the genic and genotypic frequencies evolve towards time-persistent forms, whether the total population size tends towards exponential growth or not.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 45F05
zbMATH DE Number: 4035626
zbMATH Keywords: separable models
zbMATH Keywords: nonlinear age-dependent dynamics
zbMATH Keywords: population genetics
zbMATH Keywords: Age-structured models
zbMATH Keywords: single autosomal locus
zbMATH Keywords: arbitrary number of alleles
zbMATH Keywords: haploid populations
zbMATH Keywords: selection
zbMATH Keywords: mutation
zbMATH Keywords: monoecious diploid populations
zbMATH Keywords: self-fertilization
zbMATH Keywords: random mating
author: M. O. Vlad
MaRDI profile type: Publication
Wikidata QID: Q113908976
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full work available at URL: https://doi.org/10.1007/bf00280174
OpenAlex ID: W2765342256
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description: scientific article; zbMATH DE number 4035626