Double-parameter bifurcation of a predator-prey system in advective environments

This paper is concerned with a diffusive predator-prey system incorporating a generalist predator in open advective environments. By simultaneously considering the advection rates of the predator and prey as bifurcation parameter, we apply the implicit function theorem to establish the existence of...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 553; no. 1; p. 129823
Main Authors: Wang, Biao, Deng, Longxian
Format: Journal Article
Language:English
Published: Elsevier Inc 01.01.2026
Subjects:
Advective environment
Implicit function theorem
Positive steady state
Predator-prey system
Implicit function theorem
Predator-prey system
Positive steady state
Advective environment
ISSN:0022-247X
Online Access:Get full text
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Summary:This paper is concerned with a diffusive predator-prey system incorporating a generalist predator in open advective environments. By simultaneously considering the advection rates of the predator and prey as bifurcation parameter, we apply the implicit function theorem to establish the existence of positive steady state of this system. Furthermore, we demonstrate that the positive steady state is locally asymptotically stable. These findings not only enrich the theoretical research on predator-prey models but also offer novel perspectives and methodologies for studying population dynamics in riverine ecosystems.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2025.129823