三维报警出租车系统的全局有界性

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-12 DOI:10.1016/j.jmaa.2025.129961

Xueyan Tao , Shulin Zhou

{"title":"三维报警出租车系统的全局有界性","authors":"Xueyan Tao , Shulin Zhou","doi":"10.1016/j.jmaa.2025.129961","DOIUrl":null,"url":null,"abstract":"<div><div>This work studies the global existence and boundedness of the classical solutions to a predator-prey system with alarm-taxis. The system was recently proposed to describe an important anti-predator behavior of the prey by emitting alarm calls to attract a secondary predator to prey on the primary predator. Compared to those predator-prey systems with prey-taxis, the alarm-taxis system has more complicated coupling structure. In a previous work <span><span>[17]</span></span>, Jin et al. proved that the alarm-taxis system admits a unique global classical solution in a two-dimensional domain. In this paper, by establishing a series of new estimates, we obtain the same result for the three-dimensional case.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"553 1","pages":"Article 129961"},"PeriodicalIF":1.2000,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global boundedness in a three-dimensional alarm-taxis system\",\"authors\":\"Xueyan Tao , Shulin Zhou\",\"doi\":\"10.1016/j.jmaa.2025.129961\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This work studies the global existence and boundedness of the classical solutions to a predator-prey system with alarm-taxis. The system was recently proposed to describe an important anti-predator behavior of the prey by emitting alarm calls to attract a secondary predator to prey on the primary predator. Compared to those predator-prey systems with prey-taxis, the alarm-taxis system has more complicated coupling structure. In a previous work <span><span>[17]</span></span>, Jin et al. proved that the alarm-taxis system admits a unique global classical solution in a two-dimensional domain. In this paper, by establishing a series of new estimates, we obtain the same result for the three-dimensional case.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"553 1\",\"pages\":\"Article 129961\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-08-12\",\"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/S0022247X25007425\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25007425","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究一类具有报警计程车的捕食者-食饵系统经典解的全局存在性和有界性。该系统最近被提出用来描述一种重要的反捕食者行为，通过发出警报来吸引次级捕食者捕食主要捕食者。与具有猎物趋向性的捕食者-猎物系统相比，报警-趋向性系统具有更为复杂的耦合结构。在之前的工作[17]中，Jin等人证明了报警-出租车系统在二维域中具有唯一的全局经典解。在本文中，通过建立一系列新的估计，我们对三维情况得到了相同的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Global boundedness in a three-dimensional alarm-taxis system

This work studies the global existence and boundedness of the classical solutions to a predator-prey system with alarm-taxis. The system was recently proposed to describe an important anti-predator behavior of the prey by emitting alarm calls to attract a secondary predator to prey on the primary predator. Compared to those predator-prey systems with prey-taxis, the alarm-taxis system has more complicated coupling structure. In a previous work [17], Jin et al. proved that the alarm-taxis system admits a unique global classical solution in a two-dimensional domain. In this paper, by establishing a series of new estimates, we obtain the same result for the three-dimensional case.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.