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
收藏
页数：14
相关论文
共 50 条
[41]   Existence of positive periodic solutions for delayed ratio-dependent predator-prey system with stocking [J].
Wu, J ;
Wang, ZC .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (03) :583-593
[42]   Multiple Positive Periodic Solutions of a Discrete Time Delayed Predator-Prey System with Harvesting Terms [J].
Liu, Xinggui ;
Li, Yongkun ;
Ren, Yaping .
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2010, 18 (03) :239-247
[43]   Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system [J].
Wang, Qi ;
Fang, Yayun ;
Lu, Dicheng .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 :623-630
[44]   Periodic solutions of a spatiotemporal predator-prey system with additional food [J].
Li, Jing ;
Jin, Zhen ;
Sun, Gui-Quan .
CHAOS SOLITONS & FRACTALS, 2016, 91 :350-359
[45]   PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF A NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE AND DELAY [J].
欧柳曼 ;
罗桂烈 .
Annals of Differential Equations, 2003, (02) :182-194
[46]   PERIODIC SOLUTION TO A DELAYED PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DISPERSION [J].
Yanwei Liu1 ;
2. Dept. of Math. .
Annals of Applied Mathematics, 2011, (01) :28-35
[47]   POSITIVE PERIODIC SOLUTIONS TO NEUTRAL RATIO-DEPENDENT PREDATOR-PREY SYSTEM [J].
Jiandong LiSchool of Mathematical SciencesLuliang UniversityLuliang Shanxi .
Annals of Differential Equations, 2012, 28 (03) :276-282
[48]   Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses [J].
Ding, Xiaoquan ;
Jiang, Jifa .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (01) :223-234
[49]   Existence of positive periodic solutions for neutral delay Gause-type predator-prey system [J].
Liu, Guirong ;
Yan, Jurang .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (12) :5741-5750
[50]   Positive periodic solutions for a class of neutral delay Gause-type predator-prey system [J].
Liu, Guirong ;
Yan, Weiping ;
Yan, Jurang .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4438-4447
12345