The existence and uniqueness of positive steady states of a general predator–prey system in advective environments

This paper is committed to investigating the existence and uniqueness of positive steady states for a general predator–prey system in advective environments, subject to general boundary conditions. We demonstrate that, provided a positive steady-state solution exists, its uniqueness is guaranteed as...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 87; p. 104422
Main Authors Qu, Anqi, Wang, Jinfeng, Xu, Xuelian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2026
Subjects
Advection
Reaction–diffusion
Steady state
Uniqueness
92D30
Advection
92D25
35B45
Uniqueness
35K57
Steady state
Reaction–diffusion
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ISSN1468-1218
DOI10.1016/j.nonrwa.2025.104422

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Summary:This paper is committed to investigating the existence and uniqueness of positive steady states for a general predator–prey system in advective environments, subject to general boundary conditions. We demonstrate that, provided a positive steady-state solution exists, its uniqueness is guaranteed as long as the predator’s functional response is sublinear. Specifically, we show that the complicated conditions necessary for ensuring the uniqueness of positive steady states in a reaction–diffusion–advection predator–prey model can be simplified.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2025.104422