Global existence via starvation-driven ratio-dependent motility in chemotaxis consumption models

In this study, we introduce a chemotaxis consumption model incorporating a motility function designed to quantify the average resource availability per individual. This model is developed in the context of biological systems, where starvation due to increased population or limited resources encourag...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 85; p. 104330
Main Author Yoon, Changwook
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2025
Subjects
Chemotaxis
Global existence
Ratio-dependent motility
Ratio-dependent motility
Global existence
Chemotaxis
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Summary:In this study, we introduce a chemotaxis consumption model incorporating a motility function designed to quantify the average resource availability per individual. This model is developed in the context of biological systems, where starvation due to increased population or limited resources encourages organisms to disperse more actively. Our research focuses on the global existence of classical solutions in bounded domains of any spatial dimension.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2025.104330