MONOSTABLE WAVEFRONTS IN COOPERATIVE LOTKA-VOLTERRA SYSTEMS WITH NONLOCAL DELAYS

摘要

This paper is concerned with traveling wavefronts in a Lotka-Volterra model with nonlocal delays for two cooperative species. By using comparison principle, some existence and nonexistence results are obtained. If the wave speed is larger than a threshold which can be formulated in terms of basic parameters, we prove the asymptotic stability of traveling wavefronts by the spectral analysis method together with squeezing technique.