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A simple genetic model with non-equilibrium dynamics
Authors:Michael Doebeli  Gerdien de Jong
Affiliation:(1) Zoology Institute, University of Basel, Rheinsprung 9, CH-4051 Basel, Switzerland e-mail: doebeli@ubaclu.unibas.ch, CH;(2) Population Genetics Group, Department of Plant Ecology and Evolutionary Biology, University of Utrecht, Padualaan 8, 3584 CH Utrecht, The Netherlands e-mail: g.dejong@boev.biol.ruu.nl, NL
Abstract: It is implicit in earlier work that simple population genetic models with constant fertility selection at one locus with two alleles can have non-equilibrium dynamics. But the nature of these dynamics has never been investigated in detail. We show that locally stable 2-cycles occur in these models, which seems to be the simplest genetic models exhibiting such dynamics. Received: 5 December 1996 / Revised version: 14 November 1997
Keywords::   Population genetics  Models  Fertility selection  Gene frequency dynamics
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