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Global attractors for a discrete selection model with periodic immigration. (English) Zbl 1110.92032
Summary: 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 and 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.

MSC:
92D15 Problems related to evolution
39A11 Stability of difference equations (MSC2000)
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