Nonlinear analysis of some models for the evolution of dominance (Q791468)

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scientific article; zbMATH DE number 3850885
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Nonlinear analysis of some models for the evolution of dominance
scientific article; zbMATH DE number 3850885

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    Nonlinear analysis of some models for the evolution of dominance (English)
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    1983
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    The author performs a nonlinear analysis of two models for the evolution of dominance modifiers in a two locus two allele system with selection, recombination, and mutation. The first of these models generalizes the classical model of \textit{R. A. Fisher} [Am. Nat. 62, 115-126 (1928)] to the case of non-neutral modifiers. The second one is derived from \textit{P. M. Sheppard's} model for the evolution of dominance in mimicry [Natural selection and heredity. London: Hutchinson (1958)]; both cases of neutral and non-neutral modifiers are investigated. The same models with difference equations instead of differential equations are shown to provide the same results.
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    selection of modifier genes
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    Lyapunov function
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    R. A. Fisher model
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    nonlinear analysis
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    evolution of dominance
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    two locus two allele system
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    recombination
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    mutation
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    non-neutral modifiers
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    \textit{P. M. Sheppard's} model
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    mimicry
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