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VOL. 53 | 2009 Uniqueness of polymorphism for a discrete, selection-migration model with genetic dominance
James F. Selgrade, James H. Roberds

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose

Abstract

The migration into a natural population of a controlled population, e.g., a transgenic population, is studied using a one island selection-migration model. A 2-dimensional system of nonlinear difference equations describes changes in allele frequency and population size between generations. Biologically reasonable conditions are obtained which guarantee the existence and uniqueness of a polymorphic equilibrium in the cases of complete dominance and no dominance in fitness. This model may provide some useful information about the migration of transgenes into a natural population.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1177.92028
MathSciNet: MR2582429

Digital Object Identifier: 10.2969/aspm/05310319

Subjects:
Primary: 39A11, 92D25

Rights: Copyright © 2009 Mathematical Society of Japan

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