Traveling wave of a nonlocal dispersal Lotka-Volterra cooperation model under shifting habitat

This paper is concerned with the forced traveling wave solution of a nonlocal dispersal Lotka-Volterra cooperation model under the habitat shifting with a constant speed. Particularly, we relax the condition of intrinsic production so that there may be no sign change. By constructing a pair of upper and lower solutions and using the method of monotone iteration, we prove the existence of traveling wave solution for any positive constant shifting speed. (C) 2021 Elsevier Inc. All rights reserved.