Global attractors for a discrete selection model with periodic immigration

James F. Selgrade; James Roberds

doi:10.1080/10236190601079100

Treesearch

Global attractors for a discrete selection model with periodic immigration

Informally Refereed

Authors:

James F. Selgrade, James Roberds

Year:

2007

Type:

Scientific Journal

Station:

Southern Research Station

DOI:

https://doi.org/10.1080/10236190601079100

Source:

Journal of Difference Equations and Applications, Vol. 13(4): 275-287

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Abstract

A one-island selection-migration model is used to study the periodic immigration of a population of fixed allele frequency into a natural population. Density-dependent selection and immigration are the primary factors affecting the demographic genetic change in the island population. With the assumptions of complete dominance (CD) or no dominance (ND) and homozygote superiority in fitness, the existence and location of global attractors are established. analysis of this model provides rudimentary information about the migration of transgenes into a natural population.

Keywords

natural selection, periodic immigration, complete dominance, no dominance, global attractor

Citation

Selgrade, James F.; Roberds, James H. 2007. Global attractors for a discrete selection model with periodic immigration. Journal of Difference Equations and Applications, Vol. 13(4): 275-287