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 Electronic Research Archive Article
PDF (1 MB)
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

Turing instability and bifurcation in a predator-prey model with nonlocal fear and nonlinear cross-diffusion

Meiling Zhao1,2, Sen Wang1,2, Biao Liu1,2( )
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Operations Research and Data Science Laboratory, Anhui Jianzhu University, Hefei 230601, China
Show Author Information

Abstract

This paper has studied a predator-prey model that incorporates a nonlocal fear effect and nonlinear cross-diffusion under homogeneous Neumann boundary conditions. We have derived necessary and sufficient conditions for Turing instability in the presence of both nonlocal fear and nonlinear cross-diffusion by means of linear stability analysis. Moreover, we have investigated steady-state bifurcations induced by the nonlocal fear effect using the Lyapunov-Schmidt reduction.

Keywords

predator-prey modelnonlinear cross-diffusionnonlocal fear effectTuring instabilitysteady-state bifurcation

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 33 Issue 12,
December 2025
Pages 7428-7441
DOI: 10.3934/era.2025327

{{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:
Zhao M, Wang S, Liu B. Turing instability and bifurcation in a predator-prey model with nonlocal fear and nonlinear cross-diffusion. Electronic Research Archive, 2025, 33(12): 7428-7441. https://doi.org/10.3934/era.2025327

194

Views

4

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 27 September 2025
Revised: 19 November 2025
Accepted: 25 November 2025
Published: 09 December 2025
©2025 the Author(s), licensee AIMS Press.

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