Abstract
We discuss a selection-migration model in population genetics, involving two alleles A1 and A2 such that A1 is at an advantage over A2 in certain subregions and at a disadvantage in others. It is shown that if A1 is at an overall disadvantage to A2 and the rate of gene flow is sufficiently large than A1 must die out; on the other hand, if the two alleles are in some sense equally advantaged overall, then A1 and A2 can coexist no matter how great the rate of gene flow. © 1989 Springer-Verlag.
Original language | English |
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Pages (from-to) | 91-104 |
Number of pages | 14 |
Journal | Journal of Mathematical Biology |
Volume | 27 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 1989 |
Keywords
- Bifurcation theory
- Indefinite weight functions
- Population genetics
- Sub- and supersolutions