Incompatibility Alleles; Characteristics of a 1-Locus System

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Abstract

The 1-locus incompatibility system that is usually assumed to be present in the red clover is investigated. The allele fluctuations from one generation to the other are demonstrated. A mathematical state model is deduced for arbitrary numbers of alleles in the population, and its steady-state behaviour and stability are discussed. The eigenvalues of the linearized models as well as simulations show that the large systems react slowly to disturbances while the three-allele system oscillates around its equilibrium.

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  • Control Engineering
Original languageEnglish
Pages (from-to)145–154
JournalMathematical Biosciences
Volume20
Publication statusPublished - 1974
Publication categoryResearch
Peer-reviewedYes