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n阶Lotka-Volterra系统永久持续生存的新判据(英文)
引用本文:荆海英.n阶Lotka-Volterra系统永久持续生存的新判据(英文)[J].应用数学,2001(Z1).
作者姓名:荆海英
作者单位:东北大学数学系 山东沈阳
基金项目:ThisworkissupportedbytheFundofEducationMinistry
摘    要:本文首先研究了n阶Lotka Volterra系统的非负平衡点之间的关系 .然后在此基础上研究了该系统的永久持续生存问题 ,得到了若干判别n阶Lotka Volterra系统永久持续生存的充要条件 .

关 键 词:n阶Lotka-Volterra系统  非负平衡点  永久持续生存

New Criterions for the Permanence of n-species Lotka-Volterra Systems
JING Hai-ying.New Criterions for the Permanence of n-species Lotka-Volterra Systems[J].Mathematica Applicata,2001(Z1).
Authors:JING Hai-ying
Abstract:The n-species Lotka-Volterra systems is considered. Firstly the relationship between non-negative equilibria of this system is investigated, and then some new necessary and sufficient conditions for the permanence of n-species Lotka-Volterra systems are obtained. The criterions given in this paper are easier to carry out than the other results obtained in the past.
Keywords:n-species Lotka-Volterra systems  Non-negative equilibria  Permanent
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