The existence of travelling plane waves in a general class of competition-diffusion systems

摘要

It is shown that a one-parameter family of positive, uniformly bounded, monotonic, travelling plane wave solutions of a multicomponent system of nonlinear, diagonally convex competition–diffusion equations exists if and only if the wave speed is taken greater than or equal to a certain lower bound which is a function of the reaction terms and diffusion coefficients of the syste