Time periodic traveling fronts of pyramidal shapes for periodic Lotka–Volterra competition–diffusion system

Abstract

This paper is concerned with the time periodic traveling front solutions of pyramidal shapes for time periodic Lotka–Volterra competition–diffusion system in RN with N≥3. It should be mentioned that the existence, uniqueness and stability of two-dimensional time periodic traveling curved fronts of time periodic Lotka–Volterra competition–diffusion system in R2 have been studied yet. By the supersolution and subsolution technique coupled with comparison principle, in this paper we construct the existence, non-existence and qualitative properties of time periodic pyramidal traveling front solutions for time periodic Lotka–Volterra competition–diffusion system in RN.