| 一类可逆生化反应模型的定性分析 |
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| 引用本文： | 屈英.一类可逆生化反应模型的定性分析[J].大学数学,2000(3). |
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| 作者姓名： | 屈英 |
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| 作者单位： | 中央财经大学数学教学部!北京100081 |
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| 摘 要： | 本文研究一类可逆生化反应的数学模型 :dxdt=a-( b+1 ) x+x2 y-cx3,dydt=bx-x2 y+cx3.应用微分方程定性理论 ,完整地解决了该系统极限环的存在性、唯一性和不存在性等问题 .
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| 关 键 词： | 可逆生化反应 数学模型 极限环 |
Qualitative Analysis on a Class of Reversible Biochemical Reaction Model |
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| QU Ying.Qualitative Analysis on a Class of Reversible Biochemical Reaction Model[J].College Mathematics,2000(3). |
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| Authors: | QU Ying |
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| Abstract: | We are devoted to study the following system of reversible oneorder biochemical reaction model: d x d t = a-(b+1)x+x 2y-cx 3, d y d t = bx-x 2y+cx 3. By using ordinary differential equation qualitative theory, the conditions of the existence, uniqueness and nonexistence of limit cycles on this system are obtained completely. |
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| Keywords: | reversible biochemical reaction mathematical model limit cycles |
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