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Uniqueness of polymorphism for a discrete, selection-migration model with genetic dominanceAuthor(s): James F. Selgrade; James H. Roberds
Source: Advanced Studies in Pure Mathematics 53:319-331
Publication Series: Scientific Journal (JRNL)
Station: Southern Research Station
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DescriptionThe 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.
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CitationSelgrade, James F.; Roberds, James H. 2009. Uniqueness of polymorphism for a discrete, selection-migration model with genetic dominance. Advanced Studies in Pure Mathematics 53:319-331.
- Global attractors for a discrete selection model with periodic immigration
- Dynamical behaviour of a discrete selection-migration model with arbitrary dominance
- Dynamical Analysis of Density-dependent Selection in a Discrete one-island Migration Model
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