| Abstract: | 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 reaction-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. |
