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Dynamical behaviour of a discrete selection-migration model with arbitrary dominanceAuthor(s): James F. Selgrade; Jordan West Bostic; James H. Roberds
Source: Journal of Difference Equations and Applications 15(4):371-385
Publication Series: Scientific Journal (JRNL)
Station: Southern Research Station
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DescriptionTo 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.
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CitationSelgrade, James F.; Bostic, Jordan West; Roberds, James H. 2009. Dynamical behaviour of a discrete selection-migration model with arbitrary dominance. Journal of Difference Equations and Applications 15(4):371-385.
Keywordsnatural selection, immigration, trans gene, dominance, attr
- Dynamical Analysis of Density-dependent Selection in a Discrete one-island Migration Model
- Global attractors for a discrete selection model with periodic immigration
- Equilibrium and nonequilibrium attractors for a discrete, selection-migration model
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