Arid
DOI10.3934/dcds.2016.36.953
QUALITATIVE ANALYSIS FOR A LOTKA-VOLTERRA COMPETITION SYSTEM IN ADVECTIVE HOMOGENEOUS ENVIRONMENT
Lou, Yuan1,2; Xiao, Dongmei3; Zhou, Peng4
通讯作者Zhou, Peng
会议名称2013 Workshop on Variational Problems and Evolution Equations
会议日期JUL 22-25, 2013
会议地点Xiamen, PEOPLES R CHINA
英文摘要

We study a two-species Lotka-Volterra competition model in an advective homogeneous environment. It is assumed that two species have the same population dynamics and diffusion rates but different advection rates. We show that if one competitor disperses by random diffusion only and the other assumes both random and directed movements, then the one without advection prevails. If two competitors are drifting along the same direction but with different advection rates, then the one with the smaller advection rate wins. Finally we prove that if the two competitors are drifting along the opposite direction, then two species will coexist. These results imply that the movement without advection in homogeneous environment is evolutionarily stable, as advection tends to move more individuals to the boundary of the habitat and thus cause the distribution of species mismatch with the resources which are evenly distributed in space.


英文关键词Reaction-diffusion-advection Lotka-Volterra competition advective environment stability co-existence steady state
来源出版物DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
EISSN1553-5231
出版年2016
卷号36
期号2
页码953-969
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
类型Article;Proceedings Paper
语种英语
国家Peoples R China;USA;Canada
收录类别SCI-E ; CPCI-S
WOS记录号WOS:000360924400024
WOS关键词SEMILINEAR ELLIPTIC-EQUATIONS ; POPULATION-DYNAMICS ; LIMITING PROFILES ; DISPERSAL ; DIFFUSION ; MODEL ; EVOLUTION ; PERSISTENCE ; RIVERS ; OASIS
WOS类目Mathematics, Applied ; Mathematics
WOS研究方向Mathematics
资源类型会议论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/304740
作者单位1.Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China;
2.Ohio State Univ, Dept Math, Columbus, OH 43210 USA;
3.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China;
4.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
推荐引用方式
GB/T 7714
Lou, Yuan,Xiao, Dongmei,Zhou, Peng. QUALITATIVE ANALYSIS FOR A LOTKA-VOLTERRA COMPETITION SYSTEM IN ADVECTIVE HOMOGENEOUS ENVIRONMENT[C]:AMER INST MATHEMATICAL SCIENCES-AIMS,2016:953-969.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Lou, Yuan]的文章
[Xiao, Dongmei]的文章
[Zhou, Peng]的文章
百度学术
百度学术中相似的文章
[Lou, Yuan]的文章
[Xiao, Dongmei]的文章
[Zhou, Peng]的文章
必应学术
必应学术中相似的文章
[Lou, Yuan]的文章
[Xiao, Dongmei]的文章
[Zhou, Peng]的文章
相关权益政策
暂无数据
收藏/分享

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。