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Global attractors for a discrete selection model with periodic immigration |
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| Authors: | James F Selgrade James H Roberds |
| Institution: | 1. Department of Mathematics and Biomathematics Program , North Carolina State University , Raleigh, NC, 27695-8205, USA selgrade@math.ncsu.edu;3. USDA Forest Service, Southern Research Station, Southern Institute of Forest Genetics , Saucier, MS, 39574, USA |
| 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 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. |
| Keywords: | Natural selection Periodic immigration Complete dominance No dominance Global attractor |