Bistable traveling waves for a lattice competitive-cooperative system with delay

This paper is devoted to the bistable traveling wave solutions for a three-species competitive-cooperative lattice dynamical system with delay. This system arises in the modeling of two species work together in a mutualistic way, and each of them competes with the third species. In order to consider the bistable wave of this system easily, we first transform the traveling wave system into an integral system, then study a related truncated problem of such integral system, and finally obtain the existence and monotonicity of bistable wave by a limiting argument.