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Existence of travelling wave solutions for a bistable evolutionary ecology model. (English) Zbl 0780.92016

The authors consider a density-dependent selection migration model in population genetics. Under the assumption of a single locus and two alleles and the condition that the fitnesses of the heterozygotes in the population are below those of the homozygotes the existence of travelling wave solutions is proved.
Reviewer: R.Manthey (Jena)

MSC:

92D10 Genetics and epigenetics
35K57 Reaction-diffusion equations
35Q92 PDEs in connection with biology, chemistry and other natural sciences