You Position: Home > Paper
Supercritical Flip and Hopf Bifurcation on a Discrete Single Species Dynamical System
( views:84, downloads:0 )
- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- No doi available
- Key Word:
- 单种群;离散模型;超临界Flip分支和Hoph分支;One-population nodel;Discrete age-structured;Supercritical Flip and Hopf bifurcation
Abstract： In this paper, we consider a nonlinear discrete age-structured onepopulation model and intend to reveal the dynamical consequences of the model. We focus on the supercritical Flip and Hopf bifurcations beyond the bifurcation thresholds and show the rigorous proof instead of numerical results as some literatures.
- [1]向中义.一类具有阶段结构和脉冲效应的捕食者-食饵模型的动力学分析[J].2010,(2).
- [2]Arild WikanEinar Mjølhus.Overcompensatory recruitment and generation delay in discrete age-structured population models[J].1996,35(2).
- [3]Wikan A..Dynamic Consequences of Reproductive Delay in Leslie Matrix Models with Nonlinear Survival Probabilities[J].1997,146(1).
- [4]邹德新,刘超.具有阶段结构的广义食饵-捕食者系统的分岔及控制[J].2009,(4).
- [5]JacquesA.L.Silva,ThomasG.Hallam.Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models[J].1993,31(4).
- [6]Katsunori Iwasaki.Asymptotic Analysis for Linear Difference Equations[J].1997,349(10).
- [7]Choudhury SR,Krise S.Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations[J].2003,16(1).
- [8]Mjolhus E.,Wikan A..Periodicity of 4 in Age-Structured Population Models with Density Dependence[J].1995,173(2).
- [9]Agarwal, R. P.,Pang, P. Y. H..On a generalized difference system[J].1997,30(1).