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The selection mutation equation
Authors:Josef Hofbauer
Institution:(1) Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;(2) Present address: Department of Mathematics, Northwestern University, 60201 Evanston, IL, USA
Abstract:Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates epsiv ij=epsivii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible.
Keywords:Fundamental theorem  Maximum principle  Shahshahani gradients  Limit cycles
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