| 一类微生物连续培养竞争模型的定性分析 |
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| 引用本文： | 刘婧,郑斯宁.一类微生物连续培养竞争模型的定性分析[J].生物数学学报,2002,17(4):399-405. |
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| 作者姓名： | 刘婧 郑斯宁 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024 |
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| 摘 要： | 研究一类微生物连续培养竞争模型的解的结构，分析了平衡点的稳定性及平衡点附近极限环存在唯一性，证明系统存在正向不变集。
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| 关 键 词： | 微生物 连续培养 竞争模型 定性分析 |
| 文章编号： | 1001-9626(2002)04-0399-07 |
| 修稿时间： | 2001年5月28日 |
Qualititive analysis of a Kind of Model with Competition in Microorganism Continuous Culture |
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| LIU Jing ZHENG Si-ning.Qualititive analysis of a Kind of Model with Competition in Microorganism Continuous Culture[J].Journal of Biomathematics,2002,17(4):399-405. |
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| Authors: | LIU Jing ZHENG Si-ning |
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| Abstract: | In this paper the structure of solutions of a class of competition model in mi-crobial continuous culture is studied. The stability of steady states and the existence, uniquiness of limit cycles of near equilibrium is analysed, proved that there exists a positive invariant set. |
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| Keywords: | Micro-organisms continuous culture Competition model Equilibrium Stability Limit cycle Uniqueness Positive invariant set |
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