{"title":"Global existence and boundedness in a 3D predator–prey system with nonlinear diffusion and prey-taxis","authors":"Renhu Wang, Xuezhong Wang","doi":"10.1016/j.nonrwa.2025.104331","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we investigate the 3-dimensional predator–prey system with nonlinear diffusion and nonlinear chemotactic sensitivity in a bounded domain <span><math><mi>Ω</mi></math></span> 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.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104331"},"PeriodicalIF":1.8000,"publicationDate":"2025-02-12","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/S1468121825000173","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 paper, we investigate the 3-dimensional predator–prey system with nonlinear diffusion and nonlinear chemotactic sensitivity in a bounded domain 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.
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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