{"title":"扩散和平流对洛特卡伏特拉竞争系统动力学的影响","authors":"Xiao Yan , Hua Nie","doi":"10.1016/j.nonrwa.2024.104126","DOIUrl":null,"url":null,"abstract":"<div><p>This study focuses on a two-species competition-diffusion-advection system, in which two species may have different population dynamics. Using the diffusion rate and advection rate as two varying parameters, we establish a clear classification of the dynamics of this system. It turns out that there is a tradeoff between growth capacity and dispersal strategy driven invasion and coexistence mechanisms. Stronger growth and slower advection are more conducive to the successful invasion of species. Balanced growth and advection are favorable for species coexistence. In addition, species with weak growth and slow advection can coexist with competitive opponents with strong growth and moderate advection. These results show that dispersal strategies and growth capacities are important for determining dynamics.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The effects of diffusion and advection on the dynamics of a Lotka–Volterra competition system\",\"authors\":\"Xiao Yan , Hua Nie\",\"doi\":\"10.1016/j.nonrwa.2024.104126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study focuses on a two-species competition-diffusion-advection system, in which two species may have different population dynamics. Using the diffusion rate and advection rate as two varying parameters, we establish a clear classification of the dynamics of this system. It turns out that there is a tradeoff between growth capacity and dispersal strategy driven invasion and coexistence mechanisms. Stronger growth and slower advection are more conducive to the successful invasion of species. Balanced growth and advection are favorable for species coexistence. In addition, species with weak growth and slow advection can coexist with competitive opponents with strong growth and moderate advection. These results show that dispersal strategies and growth capacities are important for determining dynamics.</p></div>\",\"PeriodicalId\":49745,\"journal\":{\"name\":\"Nonlinear Analysis-Real World Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Real World Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S146812182400066X\",\"RegionNum\":3,\"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":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S146812182400066X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
The effects of diffusion and advection on the dynamics of a Lotka–Volterra competition system
This study focuses on a two-species competition-diffusion-advection system, in which two species may have different population dynamics. Using the diffusion rate and advection rate as two varying parameters, we establish a clear classification of the dynamics of this system. It turns out that there is a tradeoff between growth capacity and dispersal strategy driven invasion and coexistence mechanisms. Stronger growth and slower advection are more conducive to the successful invasion of species. Balanced growth and advection are favorable for species coexistence. In addition, species with weak growth and slow advection can coexist with competitive opponents with strong growth and moderate advection. These results show that dispersal strategies and growth capacities are important for determining dynamics.
期刊介绍:
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.