Speed Selection for a Lotka–Volterra Competitive System with Local vs. Nonlocal Diffusions

In this paper, we investigate the minimal wave speed selection mechanism for a Lotka–Volterra competitive system with local vs. nonlocal diffusions. By a change of variables, we transform the competitive system into cooperative system. Then we employ the upper and lower solutions method to study the minimal wave speed selection mechanism: linear or nonlinear. For the linear selection, we concentrate on constructing suitable upper solutions. For the nonlinear selection, we focus only on the construction of lower solutions.