AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (261.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

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

Yujuan Jiao( ), Jinmiao Yang, Hang Zhang
College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou, 730030, China
Show Author Information

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.

Keywords

predator-prey modeltraveling wave solutionupper and lower solutionLyapunov functionLaSalle's invariance principle
CLC number: 34C37, 35C07

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16261-16277
DOI: 10.3934/math.2022888

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Jiao Y, Yang J, Zhang H. Traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. AIMS Mathematics, 2022, 7(9): 16261-16277. https://doi.org/10.3934/math.2022888

74

Views

0

Downloads

3

Crossref

3

Web of Science

4

Scopus
Received: 20 April 2022
Revised: 14 June 2022
Accepted: 20 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)