The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection.

Abstract excerpt

We study a mathematical model from population genetics, describing a single-locus diallelic (A/a) selection-migration process. The model consists of a coupled system of three reaction-diffusion equations, one for the density of each genotype, posed in the whole space [Formula: see text]. The genotype AA is advantageous, due to a smaller death rate, and we consider the fully recessive case where the other two...

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