One- and multi-locus multi-allele selection models in a random environment |
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Authors: | H. Peil |
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Affiliation: | (1) Fachbereich Mathematik, Johannes Gutenberg-Universität Mainz, D-6500 Mainz, Federal Republic of Germany |
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Abstract: | Summary We deduce conditions for stochastic local stability of general perturbed linear stochastic difference equations widely applicable in population genetics. The findings are adapted to evaluate the stability properties of equilibria in classical one- and multi-locus multi-allele selection models influenced by random temporal variation in selection intensities. As an example of some conclusions and biological interpretations we analyse a special one-locus multi-allele model in more detail.This work was supported in part by Stiftung Volkswagenwerk. |
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Keywords: | Stochastic difference equations Stochastic local stability Random environment Selection models Multi-allele models Multi-locus models |
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