| 一类具有二重饱和度的四分子可逆生化反应系统的定性分析 |
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| 引用本文： | 冯光庭,杨翠红.一类具有二重饱和度的四分子可逆生化反应系统的定性分析[J].湖北大学学报(自然科学版),2010,32(4):367-371. |
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| 作者姓名： | 冯光庭 杨翠红 |
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| 作者单位： | [1]湖北第二师范学院数学与数量经济学院,湖北武汉430205 [2]华中师范大学数学与统计学学院,湖北武汉430079 |
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| 摘 要： | 运用微分方程定性理论,研究一类具有二重饱和度的四分子可逆生化反应模型,得到该系统正平衡点全局稳定和存在极限环的充分必要条件.
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| 关 键 词： | 生化反应 二重饱和度 全局渐近稳定 极限环 |
Qualitative study for a class of systems with four-molecule reversible biochemical reaction combining a second-order saturation |
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| FENG Guangting,YANG Cuihong.Qualitative study for a class of systems with four-molecule reversible biochemical reaction combining a second-order saturation[J].Journal of Hubei University(Natural Science Edition),2010,32(4):367-371. |
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| Authors: | FENG Guangting YANG Cuihong |
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| Institution: | 1.School of Mathematics and Quantitative Economics,Hubei University of Education,Wuhan 430205,China; 2.School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China) |
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| Abstract: | Based on the qualitative theory of differential equations,a class of systems with four-molecule reversible biochemical reaction combining a second-order saturation got further investigation.It was shown necessary and sufficient conditions for the existence of limit cycles and globally stability of the positive equilibrium of this system. |
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| Keywords: | biochemical reaction second-order saturation globally asymptotic stability limit cycle |
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