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Stability and Hopf Bifurcation of a Type of Protein Synthesis System with Time Delay and Negative Feedback

文献类型：期刊论文

作者Qiao, YuanHua1; Jia, Erze1; Miao, Jun2
刊名ACTA APPLICANDAE MATHEMATICAE
出版日期2011
卷号113期号:1页码:57-73
关键词Delay differential equations Circadian rhythm model Stability Hopf bifurcation
ISSN号0167-8019
DOI10.1007/s10440-010-9584-4
英文摘要This paper studied the stability and Hopf bifurcation of a type of protein synthesis system with time delay and negative feedback. Firstly, it is proved theoretically that the time delay, nonlinearity in the protein production and the cooperativity in the negative feedback are key factors to generate circadian oscillation; Taking time delay as a parameter, we obtained the critical value of the time delay that Hopf bifurcation generates. Secondly, based on the center manifold and normal form theorem, we derived the formulas for determining the stability of bifurcating periodic solutions and the supercritical or subcritical Hopf bifurcation. Finally, the matlab program is used to simulate the results.
资助项目Natural Science Foundation of China[60702031] ; Natural Science Foundation of China[60970087] ; Beijing Natural Science Foundation[4102013]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000285203800005
出版者SPRINGER
源URL[http://119.78.100.204/handle/2XEOYT63/13102]  
专题中国科学院计算技术研究所期刊论文_英文
通讯作者Qiao, YuanHua
作者单位1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
2.Chinese Acad Sci, Key Lab Intelligent Informat Proc, Inst Comp Technol, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Qiao, YuanHua,Jia, Erze,Miao, Jun. Stability and Hopf Bifurcation of a Type of Protein Synthesis System with Time Delay and Negative Feedback[J]. ACTA APPLICANDAE MATHEMATICAE,2011,113(1):57-73.
APA Qiao, YuanHua,Jia, Erze,&Miao, Jun.(2011).Stability and Hopf Bifurcation of a Type of Protein Synthesis System with Time Delay and Negative Feedback.ACTA APPLICANDAE MATHEMATICAE,113(1),57-73.
MLA Qiao, YuanHua,et al."Stability and Hopf Bifurcation of a Type of Protein Synthesis System with Time Delay and Negative Feedback".ACTA APPLICANDAE MATHEMATICAE 113.1(2011):57-73.

入库方式： OAI收割

来源：计算技术研究所

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