{"title":"准线性觅食者--开发者模型中的有界性","authors":"Jianping Wang, Qianying Zhang","doi":"10.1002/mana.202300507","DOIUrl":null,"url":null,"abstract":"We study a forager–exploiter model with nonlinear diffusions: <jats:disp-formula/>where is a smooth bounded domain, is a nonnegative bounded function, satisfying <jats:disp-formula/>with some sufficiently large . Global‐in‐time solutions are established for corresponding Neumann initial‐boundary value problem.","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundedness in a quasilinear forager–exploiter model\",\"authors\":\"Jianping Wang, Qianying Zhang\",\"doi\":\"10.1002/mana.202300507\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a forager–exploiter model with nonlinear diffusions: <jats:disp-formula/>where is a smooth bounded domain, is a nonnegative bounded function, satisfying <jats:disp-formula/>with some sufficiently large . Global‐in‐time solutions are established for corresponding Neumann initial‐boundary value problem.\",\"PeriodicalId\":49853,\"journal\":{\"name\":\"Mathematische Nachrichten\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematische Nachrichten\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1002/mana.202300507\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1002/mana.202300507","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Boundedness in a quasilinear forager–exploiter model
We study a forager–exploiter model with nonlinear diffusions: where is a smooth bounded domain, is a nonnegative bounded function, satisfying with some sufficiently large . Global‐in‐time solutions are established for corresponding Neumann initial‐boundary value problem.
期刊介绍:
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index