Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting

Authors

Zhihong Zhao
Yan Li
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2-2-2021

Abstract

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

Comments

Copyright 2021 the Author(s), licensee AIMS Press

Recommended Citation

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.

Publication Title

Mathematical Biosciences and Engineering

DOI

10.3934/mbe.2021084