Partial extinction, permanence and global attractivity in nonautonomous n-species Lotka-Volterra competitive systems with impulses

被引:2
作者
Hou Juan [1 ,2 ]
Teng Zhi-dong [1 ]
Gao Shu-jing [3 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xinjiang Univ Finance & Econ, Dept Appl Math, Urumqi 830012, Peoples R China
[3] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China
基金
国家科技攻关计划;
关键词
Nonautonomous Lotka-Volterra system; Impulsive effects; Competition; Extinction; Permanence; Global attractivity; ASYMPTOTIC-BEHAVIOR; PERIODIC-SOLUTIONS; DYNAMIC-BEHAVIORS; SURVIVAL; GROWTH; MODEL;
D O I
10.1007/s11766-011-2256-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the qualitative properties of general nonautonomous Lotka-Volterra n-species competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction and global attractivity of partial species are established by used the methods of inequalities estimate and Liapunov functions. As applications, nonautonomous two species Lotka-Volterra systems with impulses are discussed.
引用
收藏
页码:161 / 176
页数:16
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