Abstract
It is shown that the solutions of a single-locus diploid model with population control for the spatial and temporal interaction of the three genotypes approach a constant-density equilibrium in which only the more fit allele is present, provided the density dependent birth rate and fitnesses have certain properties. The speed at which this phenomenon spreads is at least as great as that of the linearization of the corresponding Fisher equation. A larger upper bound for this speed is also obtained.
Original language | English (US) |
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Pages (from-to) | 1295-1316 |
Number of pages | 22 |
Journal | Journal of Mathematical Biology |
Volume | 68 |
Issue number | 5 |
DOIs | |
State | Published - Apr 2014 |
Externally published | Yes |
Keywords
- Population genetics
- Reaction-diffusion system
- Spreading