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Title: Dynamical behaviour of a discrete selection-migration model with arbitrary dominance
Author: Selgrade, James F.; Bostic, Jordan West; Roberds, James H.;
Source: Journal of Difference Equations and Applications 15(4):371-385
Publication Series: Scientific Journal (JRNL)
Description: 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.
Keywords: natural selection, immigration, trans gene, dominance, attr
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Selgrade, 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.
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