The existence of traveling wave solutions in an integro-difference competition-cooperation system.

In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition-cooperation system with partial monotonicity by using Schauder's fixed point theorem, the cross-iteration and the upper and lower solutions method. To illustrate our result, we present an application to integro-difference competition-cooperation system with a special kernel by constructing a pair of upper and lower solutions, while the verification of upper and lower solutions is nontrivial. [ABSTRACT FROM AUTHOR]