Nonlinear frequency-dependent selection at a single locus with two alleles and two phenotypes

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Title: Nonlinear frequency-dependent selection at a single locus with two alleles and two phenotypes
Author: Yi, Tao; Cressman, R.; Brooks, Bernard
Abstract: The paper investigates the discrete frequency dynamics of two phenotype diploid models where genotypic fitness is an exponential function of the expected payoff in the matrix game. Phenotypic and genotypic equilibria are defined and their stability compared to frequency-dependent selection models based on linear fitness when there are two possible phenotypes in the population. In particular, it is shown that stable equilibria of both types can exist in the same nonlinear model. It is also shown that period-doubling bifurcations emerge when there is sufficient selection in favor of interactions between different phenotypes.
Description: RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
Record URI: http://hdl.handle.net/1850/4688
Publishers URL: http://dx.doi.org/10.1007/s002850050192
Date: 1999-10

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