Global convergence properties in multilocus viability selection models: the additive model and the Hardy-Weinberg law

S. Karlin*, U. Liberman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A natural coordinate system is introduced for the analysis of the global stability of the Hardy-Weinberg (HW) polymorphism under the general multilocus additive viability model. A global convergence criterion is developed and used to prove that the HW polymorphism is globally stable when each of the loci is diallelic, provided the loci are overdominant and the multilocus recombination is positive. As a corollary the multilocus Hardy-Weinberg law for neutral selection is derived.

Original languageEnglish
Pages (from-to)161-176
Number of pages16
JournalJournal of Mathematical Biology
Volume29
Issue number2
DOIs
StatePublished - Dec 1990

Funding

FundersFunder number
National Institute of General Medical SciencesR01GM010452

    Keywords

    • Additive selection
    • Global stability
    • Hardy-Weinberg polymorphism
    • Multilocus

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