This paper is devoted to studying the existence and nonexistence of traveling wave solution for a nonlocal dispersal delayed predator-prey system with the Beddington-DeAngelis functional response and harvesting. By constructing the suitable upper-lower solutions and applying Schauder's fixed point theorem, we show that there exists a positive constant c∗ such that the system possesses a traveling wave solution for any given c>c∗. Moreover, the asymptotic behavior of traveling wave solution at infinity is obtained by the contracting rectangles method. The existence of traveling wave solution for c=c∗ is established by means of Corduneanu's theorem. The nonexistence of traveling wave solution in the case of c
Zhihong Zhao, Yan Li, Zhaosheng Feng. Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting[J]. Mathematical Biosciences and Engineering, 2021, 18(2): 1629-1652. doi: 10.3934/mbe.2021084
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Mathematical Biosciences and Engineering