漂移速率不同的平流斑块环境中的扩散演化

IF 1.7 4区 数学 Q2 MATHEMATICS, APPLIED
Shanshan Chen, Jie Liu, Yixiang Wu
{"title":"漂移速率不同的平流斑块环境中的扩散演化","authors":"Shanshan Chen, Jie Liu, Yixiang Wu","doi":"10.1137/22m1542027","DOIUrl":null,"url":null,"abstract":"SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 696-720, March 2024. <br/> Abstract.In this paper, we study a two stream species Lotka–Volterra competition patch model with the patches aligned along a line. The two species are supposed to be identical except for the diffusion rates. For each species, the diffusion rates between patches are the same, while the drift rates vary. Our results show that the convexity of the drift rates has a significant impact on the competition outcomes: if the drift rates are convex, then the species with the larger diffusion rate wins the competition; if the drift rates are concave, then the species with the smaller diffusion rate wins the competition.","PeriodicalId":49534,"journal":{"name":"SIAM Journal on Applied Dynamical Systems","volume":"164 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates\",\"authors\":\"Shanshan Chen, Jie Liu, Yixiang Wu\",\"doi\":\"10.1137/22m1542027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 696-720, March 2024. <br/> Abstract.In this paper, we study a two stream species Lotka–Volterra competition patch model with the patches aligned along a line. The two species are supposed to be identical except for the diffusion rates. For each species, the diffusion rates between patches are the same, while the drift rates vary. Our results show that the convexity of the drift rates has a significant impact on the competition outcomes: if the drift rates are convex, then the species with the larger diffusion rate wins the competition; if the drift rates are concave, then the species with the smaller diffusion rate wins the competition.\",\"PeriodicalId\":49534,\"journal\":{\"name\":\"SIAM Journal on Applied Dynamical Systems\",\"volume\":\"164 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Journal on Applied Dynamical Systems\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1137/22m1542027\",\"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":"SIAM Journal on Applied Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/22m1542027","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

SIAM 应用动力系统期刊》第 23 卷第 1 期第 696-720 页,2024 年 3 月。 摘要.在本文中,我们研究了一个双流物种 Lotka-Volterra 竞争斑块模型,该模型中的斑块沿一条线排列。除了扩散率之外,这两个物种应该是相同的。对于每个物种,斑块间的扩散率相同,而漂移率不同。我们的结果表明,漂移率的凸性对竞争结果有显著影响:如果漂移率是凸性的,则扩散率较大的物种在竞争中获胜;如果漂移率是凹性的,则扩散率较小的物种在竞争中获胜。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates
SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 696-720, March 2024.
Abstract.In this paper, we study a two stream species Lotka–Volterra competition patch model with the patches aligned along a line. The two species are supposed to be identical except for the diffusion rates. For each species, the diffusion rates between patches are the same, while the drift rates vary. Our results show that the convexity of the drift rates has a significant impact on the competition outcomes: if the drift rates are convex, then the species with the larger diffusion rate wins the competition; if the drift rates are concave, then the species with the smaller diffusion rate wins the competition.
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
SIAM Journal on Applied Dynamical Systems
SIAM Journal on Applied Dynamical Systems 物理-物理:数学物理
CiteScore
3.60
自引率
4.80%
发文量
74
审稿时长
6 months
期刊介绍: SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信