Traveling wave solutions to diffusive Holling-Tanner predator-prey models
type: Item
instance of: scholarly article
title: Traveling wave solutions to diffusive Holling-Tanner predator-prey models
zbMATH Open document ID: 1467.35090
author: Ching-Hui Wang
author: Sheng-Chen Fu
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-17T00:00:00Z
review text: This paper is concerned with traveling wave solutions to diffusive generalized Holling-Tanner predator-prey models. Using the upper-lower solutions method, the authors established semi-traveling wave solutions for the systems. Without the monotone property, the one-sided asymptotic behavior is usually not easy to derive. For this, the authors constructed a suitable Lyapunov function to obtain the precise asymptotic behavior.
reviewed by: Chang-Hong Wu
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7360365
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: traveling wave
zbMATH Keywords: Holling-Tanner
zbMATH Keywords: Beddington-DeAngelis
zbMATH Keywords: upper-lower solutions method
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
full work available at URL: dcdsb.2021007
OpenAlex ID: W3115049336
Wikidata QID: Q113201474
cites work: Traveling waves for a generalized Holling-Tanner predator-prey model
cites work: Q3262986
cites work: Traveling wave solutions for a continuous and discrete diffusive predator-prey model
cites work: A diffusive predator-prey model in heterogeneous environment
cites work: Q3871201
DOI: 10.3934/DCDSB.2021007
description: scientific article; zbMATH DE number 7360365