Four positive periodic solutions of a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting

被引：18

作者：

Hu, Daowei ^{[1
]}

Zhang, Zhengqiu ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 12期

关键词：

Four positive periodic solutions; Predator-prey system; Continuation theorem of coincidence degree theory; Nonmonotonic functional response; Harvesting;

D O I：

10.1016/j.camwa.2008.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing the continual ion theorem of coincidence degree theory, we establish an easily verifiable criteria for the existence of at least four positive periodic Solutions for a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3015 / 3022

页数：8

共 50 条

[1] Multiple Positive Periodic Solutions of a Discrete Time Delayed Predator-Prey System with Harvesting Terms
Liu, Xinggui
Li, Yongkun
Ren, Yaping
[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2010, 18 (03) : 239 - 247
[2] Periodic solutions in a delayed predator-prey model with nonmonotonic functional response
Fan, Yong-Hong
Wang, Lin-Lin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 3275 - 3284
[3] Periodic solutions in a delayed predator-prey models with nonmonotonic functional response
Li, Wan-Tong
Fan, Yong-Hong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2007, 8 (01): : 175 - 185
[4] PERIODIC SOLUTIONS IN A DELAYED PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE
Wang, Lin-Lin
Fan, Yong-Hong
Ge, Wei-Gao
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (05) : 1705 - 1719
[5] Periodic Solutions of Periodic Delay Predator-Prey System with Nonmonotonic Functional Response
宋永利
韩茂安
[J]. Journal of Shanghai Jiaotong University(Science), 2003, (01) : 107 - 110
[6] Multiple positive periodic solutions for a delayed predator-prey system with Beddington-DeAngelis functional response and harvesting terms
Wang, Yanqin
Tu, Qingwei
[J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2015, 42 (02): : 330 - 338
[7] Existence of Positive Periodic Solutions of a Predator-prey System with Functional Response
Sun, Shulin
Chen, Lansun
[J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 519 - 524
[8] Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses
Zhang, Weipeng
Zhu, Deming
Bi, Ping
[J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (10) : 1031 - 1038
[9] Periodic solutions of a discrete time predator-prey system
Song Y.-L.
Han M.-A.
[J]. Acta Mathematicae Applicatae Sinica, 2006, 22 (3) : 397 - 404
[10] Four periodic solutions of a generalized delayed predator-prey system
Feng, Jianwen
Chen, Shihua
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 932 - 939

← 1 2 3 4 5 →