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 |