Global existence and boundedness in a 3D predator–prey system with nonlinear diffusion and prey-taxis

In this paper, we investigate the 3-dimensional predator–prey system with nonlinear diffusion and nonlinear chemotactic sensitivity in a bounded domain Ω with smooth boundary. Under the suitable assumptions that the nonlinear chemotactic sensitivity function, we rigorously prove the global existence...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 85; p. 104331
Main Authors Wang, Renhu, Wang, Xuezhong
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2025
Subjects
3D predator–prey system
Boundedness
Chemotactic sensitivity
Global existence
Chemotactic sensitivity
92B05
92D25
35B35
35A01
Boundedness
Global existence
92C17
35B40
35K57
3D predator–prey system
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Summary:In this paper, we investigate the 3-dimensional predator–prey system with nonlinear diffusion and nonlinear chemotactic sensitivity in a bounded domain Ω with smooth boundary. Under the suitable assumptions that the nonlinear chemotactic sensitivity function, we rigorously prove the global existence and uniform boundedness of positive classical solutions.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2025.104331