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On criteria for global stability of n-dimensional Lotka-Volterra systems
  • 期刊名称:Annual of Differential Equations
  • 时间:0
  • 页码:Vol.19 No.3:342-351,
  • 语言:英文
  • 分类:O144[理学—数学;理学—基础数学]
  • 作者机构:Dept. of Maih., Yunnan University, Kunming 650091, Kunming 650091
  • 相关基金:Supported by the NNSF of China(19972058) and the NSF of Yunnan Province (2001A0001M).
  • 相关项目:动力系统对称性约化及广义哈密顿系统等变分叉研究
中文摘要:

A nonautonomous multispecies competition-predator system with type Ⅱfunctional response is studied in this paper. It is proved that the system is per-manent under some appropriate conditions. Further, if the system is a periodic one, a set of easily verifiable suflficient conditions which guarantee the existence, uniqueness and global attractivity of a strictly positive periodic solution are ob-tained.

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