Equilibrium structure and stability in a frequency-dependent, two-population diploid model.

M Lemire; S Lessard

doi:10.1007/s002850100080

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Equilibrium structure and stability in a frequency-dependent, two-population diploid model.

M Lemire·S Lessard

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Abstract

We investigate the equilibrium structure for an evolutionary genetic model in discrete time involving two monoecious populations subject to intraspecific and interspecific random pairwise interactions. A characterization for local stability of an equilibrium is found, related to the proximity of this equilibrium with evolutionarily stable strategies (ESS). This extends to a multi-population framework a principle initially proposed for single populations, which states that the mean population strategy at a locally stable equilibrium is as close as possible to an ESS.

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Animals Biological Evolution Diploidy Game Theory Genetics, Population Models, Genetic Mutation Time Factors Journal Article Research Support, Non-U.S. Gov't

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M Lemire, S Lessard. 2001. Equilibrium structure and stability in a frequency-dependent, two-population diploid model.. https://doi.org/10.1007/s002850100080

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