Asymptotical Wave Speed and Monotone Property of Traveling Wave Solution for a Two-Species Ratio- Dependent Predator-Prey System with Free Diffusion and Discrete Delay

摘要

In this paper, we consider a two-species ratio-dependent predator-prey system with free diffusion and discrete time delay. We study the asymptotical wave speed to give the necessary condition on the front speed, and prove that the traveling wave solution by combining the approach introduced by Canosa with the method of upper and lower solutions is monotone. Finally, we give a conclusion to summarize the achievements of the work.