Dynamical behaviour of a discrete selection-migration model with arbitrary dominance

To study the effects of immigration of genes (possibly transgenic) into a natural population, a one-island selection-migration model with density-dependent regulation is used to track allele frequency and population size. The existence and uniqueness of a polymorphic genetic equilibrium is proved un...

Full description

Saved in:
Bibliographic Details
Published in:Journal of difference equations and applications 2009-04, Vol.15 (4), p.371-385
Main Authors: Selgrade, James F., Bostic, Jordan West, Roberds, James H.
Format: Article
Language:English
Subjects:
attractor
dominance
immigration
natural selection
transgene
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:To study the effects of immigration of genes (possibly transgenic) into a natural population, a one-island selection-migration model with density-dependent regulation is used to track allele frequency and population size. The existence and uniqueness of a polymorphic genetic equilibrium is proved under a general assumption about dominance in fitnesses. Also, conditions are found which guarantee the existence of and determine the location of the global attractor for this model. The rate at which solutions approach the attractor is approximated. A measure of allelic diversity is introduced.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190802400741