| 一个离散单种群动力系统的超临界Flip分支和Hoph分支(英文) |
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| 引用本文： | 林东榕,惠静,庞建华. 一个离散单种群动力系统的超临界Flip分支和Hoph分支(英文)[J]. 生物数学学报, 2010, 0(4): 609-615 |
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| 作者姓名： | 林东榕 惠静 庞建华 |
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| 作者单位： | 广西工学院,广西柳州545006 |
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| 基金项目： | Supported by National Natural Science Foundation of China（10861003） |
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| 摘 要： | 文中考虑一个非线性的具有年龄阶段结构的单种群离散模型,致力于揭示该系统的动力学行为,说明了系统在分支阈值附近会出现超临界Flip分支和Hoph分支.与一些文献不同的是文中用数学工具给出证明过程而不是用数值模拟的结果说明.
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| 关 键 词： | 单种群 离散模型 超临界Flip分支和Hoph分支 |
Supercritical Flip and Hopf Bifurcation on a Discrete Single Species Dynamical System |
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| LIN Dong-rong,HUI Jing,PANG Jian-hua. Supercritical Flip and Hopf Bifurcation on a Discrete Single Species Dynamical System[J]. Journal of Biomathematics, 2010, 0(4): 609-615 |
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| Authors: | LIN Dong-rong HUI Jing PANG Jian-hua |
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| Affiliation: | (Guangxi University of Technology,Liuzhou Guangxi 545006 China) |
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| Abstract: | In this paper,we consider a nonlinear discrete age-structured one-population 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. |
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| Keywords: | One-population model Discrete age-structured Supercritical Flip and Hopf bifurcation |
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