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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 185卷 / 01期

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

页码：499 / 507

页数：9

共 15 条

[1]

[Anonymous], 1989, ELLIS HORWOOD SERIES

[2] PERIODIC TIME-DEPENDENT PREDATOR-PREY SYSTEMS [J].

CUSHING, JM .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) :82-95

[3]

GAINES R, 1977, CONCIDENCE DEGREE NO

[4] ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].

GOPALSAMY, K ;

ZHANG, BG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122

[5]

Kuang Y., 1993, DELAY DIFFERENTIAL E

[6]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[7]

Li YK, 1999, APPL MATH MECH-ENGL, V20, P579

[8] Uniform asymptotic stability of impulsive delay differential equations [J].

Liu, XZ ;

Ballinger, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) :903-915

[9] Existence and continuability of solutions for differential equations with delays and state-dependent impulses [J].

Liu, XZ ;

Ballinger, G .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (04) :633-647

[10] Boundedness for impulsive delay differential equations and applications to population growth models [J].

Liu, XZ ;

Ballinger, G .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (7-8) :1041-1062

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