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The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems
Li, XZ; Tan, CL; Ji, XH
1999-12-15
发表期刊JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
卷号240期号:2页码:600-606
摘要In this paper, a set of sufficient conditions are obtained for the existence of a globally asymptotically stable equilibrium point in various submodels of the classic n-dimensional Lotka-Volterra system. The submodels are the following systems: competition (cooperative or predator-prey) chain system and competition (cooperative or predator-prey) model between one and multispecies. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable. (C) 1999 Academic Press.
关键词equilibrium point global asymptotic stability n-dimensional Lotka-Volterra system
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000084452400020
出版者ACADEMIC PRESS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/14769
专题中国科学院数学与系统科学研究院
通讯作者Li, XZ
作者单位1.Xinyang Teachers Coll, Dept Math, Henan 464000, Peoples R China
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
3.SW Normal Univ, Dept Math, Chongqing 630715, Peoples R China
4.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
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GB/T 7714
Li, XZ,Tan, CL,Ji, XH. The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,1999,240(2):600-606.
APA Li, XZ,Tan, CL,&Ji, XH.(1999).The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,240(2),600-606.
MLA Li, XZ,et al."The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 240.2(1999):600-606.
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