Dynamics in a periodic two-species predator-prey system with pure delays

被引：4
|
作者：
Mahemuti, Rouzimaimaiti [1 ]
Muhammadhaji, Ahmadjan [1 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL SCIENCES | 2014年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Lotka-Volterra predator-prey system; Discrete time delay; Liapunov functional; Global attractivity; Positive periodic solution;
D O I：
10.1007/s40096-014-0130-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of non-autonomous two-species Lotka-Volterra predator-prey system with pure discrete time delays is discussed. Some sufficient conditions on the boundedness, permanence, extinction, positive periodic solution and global attractivity of the system are established by means of the comparison method, coincidence degree theory and Liapunov functional.
引用
收藏
页码：71 / 77
页数：7
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