Travelling Waves in Near-Degenerate Bistable Competition Models
We study a class of bistable reaction-diffusion systems used to model two competing species. Systems in this class possess two uniform stable steady states representing semi-trivial solutions. Principally, we are interested in the case where the ratio of the diffusion coefficients is small, in the case. First, limiting arguments are presented to relate solutions to such systems to those of the degenerate case where one species is assumed not ...