Home
Search Center
Journal List
CMA
Contact US
|
Chinese
You Position:
Home
> Paper
Hopy Bifurcation Stability in a Predator-Prey Model with Time Delays
( views:43, downloads:0 )
Author:
No author available
Journal Title:
Journal of Biomathematics
Issue:
1
DOI:
No doi available
Key Word:
Hopf分支;稳定性;时滞;食饵捕食系统;平衡点
Abstract: 首先建立了具有时滞的三种群食饵捕食模型,并研究了平衡点的存在性,接着应用规范化方法和中心流行定理研究了Hopf分岔以及分岔周期解的稳定性.并举例论证.
Reference
[1]马知恩著.
种群生态学的数学建模与研究
[M].1996.
[2]Robert M. May.
Time-Delay Versus Stability in Population Models with Two and Three Trophic Levels
[J].1973,54(2).
[3]Faria T..
Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
[J].2001,254(2).
[4]Peng YH,Song YL.
Stability and bifurcation analysis on a Logistic model with discrete and distributed delays
[J].2006,181(2).
[5]杨高翔,赵临龙.
时滞Nicholson's Blowflies方程中行波解的Hopf分支
[J].2011,(1).
[6]Meng XZ,Wei JJ.
Stability and bifurcation of mutual system with time delay
[J].2004,21(3).
[7]Harlan W Stech.
Hopf bifurcation calculations for functional differential equations
[J].1985,109(2).
[8]Chen YY,Song CM.
Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay
[J].2008,38(4).
[9]Shigui Ruan,Junjie Wei.
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
[J].2003,10(6).
[10]Huo HF,Liu CY,Ma ZP.
Stability and Hopf bifurcation analysis on a predator-prey model with discrete and distributed delays
[J].2009,10(2).
[11]Yan XP,Zhang CH.
Hopf bifurcation in a delayed Lokta-Volterra predator-prey system
[J].2008,9(1).
[12]Li WT,Yan XP.
Hopf bifurcation and global periodic solutions in a delayed predator-prey system
[J].2006,177(1).
[13]Wei JJ,Song YL.
Local Hopf bifurcation and global periodic solutions in a delayed predator-prey system
[J].2005,301(1).
[14]王俊峰,薛亚奎.
一类具有垂直传染和预防接种的传染病模型的稳定性
[J].2011,(1).
WanfangData CO.,Ltd All Rights Reserved
About WanfangData
|
Contact US
Healthcare Department, Fuxing Road NO.15, Haidian District Beijing, 100038 P.R.China
Tel:+86-010-58882616 Fax:+86-010-58882615 Email:
yiyao@wanfangdata.com.cn