Traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey

Autor: Yujuan Jiao, Jinmiao Yang, Hang Zhang
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 9, Pp 16261-16277 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022888?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals