Bistable traveling waves for a competitive-cooperative system with nonlocal delays

摘要

This paper is devoted to the study of bistable traveling waves for a competitive-cooperative reaction and diffusion system with nonlocal time delays. The existence of bistable waves is established by appealing to the theory of monotone semiflows and the finite-delay approximations. Then the global stability of such traveling waves is obtained via a squeezing technique and a dynamical systems approach. (C) 2018 Elsevier Inc. All rights reserved.