Traveling fronts in diffusive and cooperative Lotka-Volterra system with nonlocal delays

摘要

This paper is concerned with a diffusive and cooperative Lotka-Volterra model with distributed delays and nonlocal spatial effect. By using an iterative technique recently developed by Wang, Li and Ruan (Traveling wave fronts in react ion-diffusion systems with spatio-temporal delays, J. Differential Equations 222 (2006), 185-232), sufficient conditions are established for the existence of traveling wave front solutions connecting the zero and the positive equilibria by choosing different kernels. The result is an extension of an existing result for Fisher-KPP equation with nonlocal delay and is somewhat parallel to the existing result for diffusive and cooperative Lotka-Volterra system with discrete delays.