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Examples of the effect of genetic variation on competing species |
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| Authors: | James F Selgrade Gene Namkoong |
| Institution: | (1) Department of Mathematics, North Carolina State University, 27695 Raleigh, NC, USA;(2) Forest Service, U.S. Department of Agriculture and Departments of Genetics and Forestry, North Carolina State University, 27695 Raleigh, NC, USA |
| Abstract: | An ordinary differential equation model for two competing populations with genetic variation in one population is presented. The degree of frequency dependence needed to produce various configurations of stable equilibria is discussed. For example, if the fitnesses are frequency independent then there may exist stable polymorphism although the genetically varying population becomes extinct in each fixation plane. Stable polymorphism where the genetically invariant population becomes extinct in each fixation plane requires frequency dependence in the fitness of the genetically invariant population. |
| Keywords: | Allele fixation Allele frequency Asymptotic stability Competition Fitness Polymorphism |
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