具有密度依赖运动的捕食-食饵系统的有界性和渐近稳定性

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI:10.3934/dcdsb.2023173

Yunxi Li, Chunlai Mu, Xu Pan

{"title":"具有密度依赖运动的捕食-食饵系统的有界性和渐近稳定性","authors":"Yunxi Li, Chunlai Mu, Xu Pan","doi":"10.3934/dcdsb.2023173","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the predator-prey system with density-dependent motilities and pursuit-evasion interaction under homogeneous Neumann boundary conditions. The main obstacle of analysis comes from the term produced by pursuit-evasion interaction. With the $ L^p $-estimate techniques and Moser iteration, we show that the system possesses a global bounded classical solution. Furthermore, with the aid of Lyapunov functional, we establish the asymptotic behavior of solutions to this system under appropriate parameter conditions.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"84 1","pages":"0"},"PeriodicalIF":1.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities\",\"authors\":\"Yunxi Li, Chunlai Mu, Xu Pan\",\"doi\":\"10.3934/dcdsb.2023173\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the predator-prey system with density-dependent motilities and pursuit-evasion interaction under homogeneous Neumann boundary conditions. The main obstacle of analysis comes from the term produced by pursuit-evasion interaction. With the $ L^p $-estimate techniques and Moser iteration, we show that the system possesses a global bounded classical solution. Furthermore, with the aid of Lyapunov functional, we establish the asymptotic behavior of solutions to this system under appropriate parameter conditions.\",\"PeriodicalId\":51015,\"journal\":{\"name\":\"Discrete and Continuous Dynamical Systems-Series B\",\"volume\":\"84 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete and Continuous Dynamical Systems-Series B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/dcdsb.2023173\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete and Continuous Dynamical Systems-Series B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/dcdsb.2023173","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

在齐次诺伊曼边界条件下，研究了具有密度依赖运动和追捕-逃避相互作用的捕食-猎物系统。分析的主要障碍来自于追逃相互作用所产生的术语。利用L^p -估计技术和Moser迭代，证明了该系统具有全局有界经典解。利用Lyapunov泛函，在适当的参数条件下，建立了该系统解的渐近性态。

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

Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities

In this paper, we consider the predator-prey system with density-dependent motilities and pursuit-evasion interaction under homogeneous Neumann boundary conditions. The main obstacle of analysis comes from the term produced by pursuit-evasion interaction. With the $ L^p $-estimate techniques and Moser iteration, we show that the system possesses a global bounded classical solution. Furthermore, with the aid of Lyapunov functional, we establish the asymptotic behavior of solutions to this system under appropriate parameter conditions.

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

Discrete and Continuous Dynamical Systems-Series B 数学-应用数学

CiteScore

2.80

自引率

8.30%

发文量

216

审稿时长

6 months

期刊介绍： Centered around dynamics, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.