| 一个三维生化反应竞争模型的非线性振荡 |
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| 引用本文： | 黄迅成,许晓宁.一个三维生化反应竞争模型的非线性振荡[J].广东海洋大学学报,2007,27(1):59-61. |
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| 作者姓名： | 黄迅成 许晓宁 |
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| 作者单位： | 扬州职业大学,江苏,扬州,225009 |
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| 摘 要： | 在微生物培养的过程中,有时会产生一些振荡现象,这种现象对应了有关数学模型中的极限环的存在性。本文中心流定理证明了一类两个微生物竞争一个具有再生功能营养物的生化模型的Hopf分支以及极限环的存在性,证明了在这一类的生化培养中非线性振荡现象同样存在。
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| 关 键 词： | 生化反应器 Hopf分支 极限环 非线性振荡 |
| 文章编号： | 1673-9159（2007）01-0059-03 |
| 修稿时间： | 2006-12-19 |
Nonlinear Oscillation in a 3-D Bio-Chemical Reaction Competition Model |
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| HUANG Xun-cheng,XU Xiao-ning.Nonlinear Oscillation in a 3-D Bio-Chemical Reaction Competition Model[J].Journal of Zhanjiang Ocean University,2007,27(1):59-61. |
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| Authors: | HUANG Xun-cheng XU Xiao-ning |
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| Institution: | Yangzhou Polytechnic University, Yangzhou, Jiangsu 225009 |
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| Abstract: | Oscillatory phenomenon is often observed in the continuous culture vessel, which corresponds to limit cycles of mathematical model. In this paper, by using the center manifold theorem we obtain the conditions of the existence of the Hopf bifurcation, and the limit cycles in a 3 - D continuous culture vessel model of two microorganisms competing for a single reproductive nutrient organism. It is proved that the nonlinear oscillatory phenomenon ~so exists in this kind of bio - reactor model. |
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| Keywords: | Bio-reactor Hopf bifurcation limit cycles nonlinear oscillation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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