{"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}
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.
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.