| 一类糖酵解模型正平衡解的存在性分析 |
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| 引用本文： | 魏美华,吴建华.一类糖酵解模型正平衡解的存在性分析[J].数学学报,2011(4):553-560. |
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| 作者姓名： | 魏美华 吴建华 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10971124); 教育部高等学校博士点专项基金资助项目(200807180004) |
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| 摘 要： | 研究生化反应中具有代表性的一类糖酵解模型.运用先验估计讨论非常数正平衡解的不存在性,得到非常数正平衡解存在的必要条件.在常数平衡解Turing不稳定的基础上,利用度理论方法和解的先验估计,进一步给出非常数正平衡解存在的充分条件.
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| 关 键 词： | 糖酵解模型 平衡解 先验估计 |
Existence Analysis of the Positive Steady-State Solutions for a Glycolysis Model |
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| Mei Hua WEI Jian Hua WU College of Mathematics , Information Science,Shaanxi Normal University,Xi'an ,P.R.China.Existence Analysis of the Positive Steady-State Solutions for a Glycolysis Model[J].Acta Mathematica Sinica,2011(4):553-560. |
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| Authors: | Mei Hua WEI Jian Hua WU College of Mathematics Information Science Shaanxi Normal University Xi'an PRChina |
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| Institution: | Mei Hua WEI Jian Hua WU College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,P.R.China |
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| Abstract: | This paper deals with a representative glycolysis model in biochemical reaction.We study the non-existence of non-constant positive steady-state solutions by using a priori estimates.A necessary condition for the existence of non-constant positive steady-state solutions is obtained.On the basis of Turing instability of constant steady-state solutions,the degree theory is combined with a priori estimates to give a sufficient condition for the existence of non-constant positive steady-state solutions. |
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| Keywords: | glycolysis model steady-state solutions a priori estimates |
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