{"title":"Global existence via starvation-driven ratio-dependent motility in chemotaxis consumption models","authors":"Changwook Yoon","doi":"10.1016/j.nonrwa.2025.104330","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104330"},"PeriodicalIF":1.8000,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1468121825000161","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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