Existence of positive periodic solution of a neutral impulsive delay predator-prey system

被引:15
|
作者
Huo, Hai-Feng [1 ]
Li, Wan-Tong
机构
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China
关键词
impulsive delay predator-prey system; positive periodic solution; topological degree;
D O I
10.1016/j.amc.2006.07.065
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions are obtained for the existence of periodic positive solution of the neutral impulsive delay predatorprey system. This is the first time that positive solution for impulsive delay predator prey system is obtained by using the theory of coincidence degree. Our results in this paper indicate that under the appropriate linear periodic impulsive perturbations, the neutral impulsive delay predator-prey system preserves the original periodicity of the neutral nonimpulsive delay predator-prey system. (c) 2006 Elsevier Inc. All rights reserved.
引用
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页码:499 / 507
页数:9
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