PERIODIC SOLUTIONS FOR A DELAYED PREDATOR-PREY SYSTEM WITH DISPERSAL AND IMPULSES

被引：0

作者：

Liu, Qiming ^{[1
]}

Dong, Shijie ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Predator-prey system; impulse; dispersion; periodic solution; coincidence degree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A delayed predator-prey system with prey dispersal in n-patch environments and impulse effects is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.

引用

页数：14

共 50 条

[31] Periodic solutions in a delayed predator-prey model with nonmonotonic functional response [J].

Fan, Yong-Hong ;

Wang, Lin-Lin .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :3275-3284

[32] Existence of Positive Periodic Solutions of a Predator-prey System with Functional Response [J].

Sun, Shulin ;

Chen, Lansun .

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, :519-524

[33] Periodic solutions for a three species predator-prey system on time scales [J].

Zhuang, Kejun .

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2011, 3 (1-2) :3-11

[34] Periodic solutions for a stochastic non-autonomous Holling-Tanner predator-prey system with impulses [J].

Zuo, Wenjie ;

Jiang, Daqing .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 :191-201

[35] Positive periodic solutions for impulsive Gause-type predator-prey systems [J].

Ding, Xiaoquan ;

Su, Bentang ;

Hao, Jianmin .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (12) :6785-6797

[36] Permanence for a delayed periodic predator-prey model with prey dispersal in multi-patches and predator density-independent [J].

Zhang, Long ;

Teng, Zhidong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (01) :175-193

[37] Permanence and global attractivity of a periodic predator-prey system with mutual interference and impulses [J].

Li, Zhong ;

Chen, Fengde ;

He, Mengxin .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) :444-453

[38] Multiple periodic solutions of delayed predator-prey systems with type IV functional responses [J].

Chen, YM .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2004, 5 (01) :45-53

[39] PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSE ON TIME SCALES [J].

Changjin Xu ;

Qianhong Zhang .

Annals of Differential Equations, 2013, 29 (01) :98-106

[40] Global existence of positive periodic solutions of periodic predator-prey system with infinite delays [J].

Fan, M ;

Wang, K .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (01) :1-11

← 1 2 3 4 5 →