Abstract
We discuss a selection-migration model in population genetics, involving two alleles A 1 and A 2 such that A 1 is at an advantage over A 2 in certain subregions and at a disadvantage in others. It is shown that if A 1 is at an overall disadvantage to A 2 and the rate of gene flow is sufficiently large than A 1 must die out; on the other hand, if the two alleles are in some sense equally advantaged overall, then A 1 and A 2 can coexist no matter how great the rate of gene flow.
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Brown, K.J., Lin, S.S. & Tertikas, A. Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics. J. Math. Biology 27, 91–104 (1989). https://doi.org/10.1007/BF00276083
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DOI: https://doi.org/10.1007/BF00276083