A criterion for stability-instability at fixation states involving an eigenvalue one with applications in population genetics |
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| Authors: | Sabin Lessard Samuel Karlin |
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| Institution: | Department of Mathematics, Stanford University, Stanford, California 94305 USA |
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| Abstract: | An explicit general criterion for stability-instability at fixation states is provided when the leading eigenvalue of the gradient matrix is one. Several applications in population genetics are presented including cases of familial selection of dominant and recessive genes, models of preferential mating, incompatibility systems, and effects of migration and population structure. |
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