{"title":"Global existence for a three-species predator-prey model with slow p-Laplacian diffusion","authors":"Songzhi Li, Changchun Liu, Yunru Zhao","doi":"10.1016/j.jmaa.2025.129426","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we consider a three-species predator-prey model with slow <em>p</em>-Laplacian diffusion under homogeneous Neumann boundary conditions in a bounded domain <span><math><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> with smooth boundary. For some suitable assumptions on the initial data, we established the global bounded solutions for <span><math><mi>p</mi><mo>></mo><mfrac><mrow><mn>23</mn></mrow><mrow><mn>11</mn></mrow></mfrac></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129426"},"PeriodicalIF":1.2000,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25002070","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/27 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we consider a three-species predator-prey model with slow p-Laplacian diffusion under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. For some suitable assumptions on the initial data, we established the global bounded solutions for .
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