具有非局部记忆和分布式延迟的空间运动

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-14 DOI:10.1016/j.aml.2024.109228

{"title":"具有非局部记忆和分布式延迟的空间运动","authors":"","doi":"10.1016/j.aml.2024.109228","DOIUrl":null,"url":null,"abstract":"<div><p>A single species spatial population model with nonlocal memory diffusion and distributed delay is formulated. Taking the memory delay and distributed delay as bifurcation parameters, we study the stability of the positive homogeneous steady state and bifurcation behaviors. The results show that the joint effect of distributed delay and memory delay induces the occurrence of multiple stability switches, which is impossible for the system without the distributed delay.</p></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spatial movement with nonlocal memory and distributed delay\",\"authors\":\"\",\"doi\":\"10.1016/j.aml.2024.109228\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A single species spatial population model with nonlocal memory diffusion and distributed delay is formulated. Taking the memory delay and distributed delay as bifurcation parameters, we study the stability of the positive homogeneous steady state and bifurcation behaviors. The results show that the joint effect of distributed delay and memory delay induces the occurrence of multiple stability switches, which is impossible for the system without the distributed delay.</p></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-07-14\",\"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/S0893965924002489\",\"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/S0893965924002489","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

我们建立了一个具有非局部记忆扩散和分布延迟的单物种空间种群模型。以记忆延迟和分布延迟作为分岔参数，研究了正均质稳态的稳定性和分岔行为。结果表明，在分布延迟和记忆延迟的共同作用下，系统会出现多个稳定性开关，而没有分布延迟的系统则不可能出现这种情况。

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

Spatial movement with nonlocal memory and distributed delay

A single species spatial population model with nonlocal memory diffusion and distributed delay is formulated. Taking the memory delay and distributed delay as bifurcation parameters, we study the stability of the positive homogeneous steady state and bifurcation behaviors. The results show that the joint effect of distributed delay and memory delay induces the occurrence of multiple stability switches, which is impossible for the system without the distributed delay.

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

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.