Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.3934/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 |
ISSN | 1078-0947 |
EISSN | 1553-5231 |
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。 |
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。