Traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay

Authors

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

Document Type

Article

Publication Date

10-30-2018

Abstract

In this paper, we study the existence and nonexistence of traveling wave solution for the nonlocal dispersal predator–prey model with spatiotemporal delay. This model incorporates the Leslie–Gower functional response into the Lotka–Volterra-type system, and both species obey the logistic growth. We explore the existence of traveling wave solution for c≥c⋆ by using the upper-lower solutions and the Schauder’s fixed point theorem. Furthermore, the nonexistence of traveling wave solution for c

Comments

Copyright © 2018, Springer Nature Switzerland AG

Recommended Citation

Zhao, Z., Li, R., Zhao, X. et al. Traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay. Z. Angew. Math. Phys. 69, 146 (2018). https://doi.org/10.1007/s00033-018-1041-7

Publication Title

Z. Angew. Math. Phys.

DOI

10.1007/s00033-018-1041-7