Authors: |
James F. Selgrade, James H. Roberds |
Year: |
2009 |
Type: |
Scientific Journal |
Station: |
Southern Research Station |
Source: |
Advanced Studies in Pure Mathematics 53:319-331 |
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.
Citation
Selgrade, 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.