Periodic solution for a predator-prey system with distributed delay

被引：14

作者：

Lin, GJ ^{[1
]}

Yuan, R

机构：

[1] Beijing Normal Univ, Coll Math, Beijing 100875, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 42卷 / 9-10期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

periodic solution; distributed delay; predator-prey system; linear chain trick; normally hyperbolic; geometric singular perturbation theory;

D O I：

10.1016/j.mcm.2005.05.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

For the predator-prey system with distributed delay, when the distributed delay kernel is the general Gamma distributed delay kernel, the existence and the stability of periodic solution are obtained by using the linear chain trick and geometric singular perturbation theory. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：959 / 966

页数：8

共 50 条

[1] Periodic solutions of a periodic delay predator-prey system
Li, YK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (05) : 1331 - 1335
[2] Periodic Solution of Eco-epidemic Predator-Prey System with Time Delay
Liu, Qiong
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 438 - 442
[3] Periodic Solution of a Class Predator-Prey System With Rate Stocking and Time Delay
Li, Hui
Wang, Yifei
ADVANCES IN ENERGY SCIENCE AND TECHNOLOGY, PTS 1-4, 2013, 291-294 : 2412 - 2415
[4] Existence of positive periodic solution of a neutral impulsive delay predator-prey system
Huo, Hai-Feng
Li, Wan-Tong
APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) : 499 - 507
[5] Existence and global stability of periodic solution for impulsive predator-prey model with diffusion and distributed delay
Zhao Z.
Li Z.
Chen L.
Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 389 - 410
[6] POSITIVE PERIODIC SOLUTION OF A NEUTRAL PREDATOR-PREY SYSTEM
李永昆
Applied Mathematics and Mechanics(English Edition), 1999, (05) : 117 - 122
[7] Positive periodic solution of a neutral predator-prey system
Li, YK
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1999, 20 (05) : 579 - 584
[8] Positive periodic solution of a neutral predator-prey system
Li Yongkun
Applied Mathematics and Mechanics, 1999, 20 (5) : 579 - 584
[9] Positive periodic solution for a delay predator-prey system with type II functional pesponse
Hu, XL
Yang, ZQ
Kang, YL
Yan, JR
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 138 - 144
[10] Periodic solution for a three-stage-structured predator-prey system with time delay
Yang, S. J.
Shi, B.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 287 - 294

← 1 2 3 4 5 →