Minimal wave speed of competitive lattice dynamical systems with delays

Abstract

Abstract This paper deals with the minimal wave speed of delayed lattice dynamical systems. We obtain the minimal wave speed by presenting the existence and nonexistence of traveling wave solutions, which completes the earlier results. In particular, when the wave speed equals the minimal wave speed, traveling wave solutions do not exponentially decay.

Keywords

• Upper-lower solutions
• Asymptotic spreading
• Nonmonotone system