@article{Jiao2022, 
author = {Yujuan Jiao and Jinmiao Yang and Hang Zhang},
title = {Traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16261-16277},
keywords = {predator-prey model, traveling wave solution, upper and lower solution, Lyapunov function, LaSalle's invariance principle},
url = {https://www.sciopen.com/article/10.3934/math.2022888},
doi = {10.3934/math.2022888},
abstract = {In this paper, we investigate the traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. Firstly, using the upper and lower solutions method we prove the existence and non-existence of weak traveling wave solutions. Furthermore, we prove that the weak traveling wave solutions are actually traveling wave solutions under additional conditions by using Lyapunov function method and LaSalle's invariance principle.}
}