Mutation-selection balance and continuum-of-alleles models

DOI10.1016/0025-5564(88)90024-7zbMath0686.92011OpenAlexW274607574MaRDI QIDQ1262831

Reinhard Bürger

Publication date: 1988

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90024-7

zbMATH Keywords

upper boundselectionpositive operatorsPerron-Frobenius theorydiscrete-time modelmutationglobally stablestepwise-mutation modelGaussian stabilizing selectioncontinuum of possible allelic effects on a quantitative traitequilibrium varianceevolution of type densitieshaploid populationone-locus multiallele modelpositive equilibrium density

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Genetics and epigenetics (92D10) Special classes of linear operators (47B99)

Related Items (8)

Kingman’s model with random mutation probabilities: convergence and condensation I ⋮ Kingman's model with random mutation probabilities: convergence and condensation. II ⋮ Spectral properties of disjointly strictly singular operators ⋮ Density dependent replicator-mutator models in directed evolution ⋮ A generalization of Kingman's model of selection and mutation and the Lenski experiment ⋮ Quantitative variability and multilocus polymorphism under epistatic selection ⋮ Open quasispecies models: stability, optimization, and distributed extension ⋮ Evolutionary branching via replicator-mutator equations

Cites Work

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• The variation of spectra
• Equilibrium Distributions of Continuous Polygenic Traits
• Global stability of genetic systems governed by mutation and selection
• Global stability of genetic systems governed by mutation and selection. II
• On the properties of bilinear models for the balance between genetic mutation and selection
• A simple model for the balance between selection and mutation
• A stochastic model concerning the maintenance of genetic variability in quantitative characters.

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