Minimal wave speed in a dispersal predator–prey system with delays

Abstract

Abstract This paper is concerned with the minimal wave speed in a nonlocal dispersal predator–prey system with delays. We define a threshold. By presenting the existence and nonexistence of traveling wave solutions, we confirm that the threshold is the minimal wave speed, which completes the known results.

Keywords

• Upper-lower solutions
• Asymptotic spreading
• Contracting rectangle
• Nonmonotone system