{"title":"一类具有信号依赖敏感性的间接趋化消耗模型的有界准则的改进","authors":"Khadijeh Baghaei , Yutaro Chiyo , Chihaya Machino , Tomomi Yokota","doi":"10.1016/j.aml.2025.109718","DOIUrl":null,"url":null,"abstract":"<div><div>This paper deals with an indirect chemotaxis-consumption model with signal-dependent sensitivity. In previous studies, the boundedness of solutions to this system was obtained with the restrictions on the dimension <span><math><mi>n</mi></math></span> and the diffusion coefficient <span><math><mi>ξ</mi></math></span>. The purpose of the present paper is to remove these restrictions on both <span><math><mi>n</mi></math></span> and <span><math><mi>ξ</mi></math></span>.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"172 ","pages":"Article 109718"},"PeriodicalIF":2.8000,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity\",\"authors\":\"Khadijeh Baghaei , Yutaro Chiyo , Chihaya Machino , Tomomi Yokota\",\"doi\":\"10.1016/j.aml.2025.109718\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper deals with an indirect chemotaxis-consumption model with signal-dependent sensitivity. In previous studies, the boundedness of solutions to this system was obtained with the restrictions on the dimension <span><math><mi>n</mi></math></span> and the diffusion coefficient <span><math><mi>ξ</mi></math></span>. The purpose of the present paper is to remove these restrictions on both <span><math><mi>n</mi></math></span> and <span><math><mi>ξ</mi></math></span>.</div></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":\"172 \",\"pages\":\"Article 109718\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S089396592500268X\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S089396592500268X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity
This paper deals with an indirect chemotaxis-consumption model with signal-dependent sensitivity. In previous studies, the boundedness of solutions to this system was obtained with the restrictions on the dimension and the diffusion coefficient . The purpose of the present paper is to remove these restrictions on both and .
期刊介绍:
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.