The Bifurcation from a Double Eigenvalue in a Competitive Diffusion System

Abstract:

      A system of reaction-diffusion equations is investigated. The equations model a situation in which two competing species inhabit the same bounded region and describe the evalution of population densities of the two species. The birth rates of the two species are treated as bifurcation parameters and the existence, uniqueness and stability of the bifurcation solutions from a double eigenvalue are obtained.