| 一类具有时滞的恒化器模型的定性分析 |
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| 引用本文： | 刘三红. 一类具有时滞的恒化器模型的定性分析[J]. 佳木斯工学院学报, 2012, 0(2): 295-296,300 |
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| 作者姓名： | 刘三红 |
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| 作者单位： | 咸宁学院数学与统计学院,湖北咸宁437100 |
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| 摘 要： | 恒化器模型是一个简化了的微生物培养模型.本文以时滞为参数,利用特征根法分析了系统平衡点的稳定性和hopf分支,得到了系统在平衡点处局部渐近稳定和出现hopf分支的充分条件,是对已有结果的有益补充.
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| 关 键 词： | 时滞 局部渐近稳定 hopf分支 |
Qualitative Analysis of a Chemostat Model with Time Delay |
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| Affiliation: | LIU Shan-hong(College of Mathematics and Statistics Xanning University Xianning 437100 China) |
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| Abstract: | Chemostat model is a simplified model of microbial cultivation.In this paper,using time lag as a parameter,the stability and hopf bifurcation of the equilibriums in the chemostat model were analyzed using eigenvalue method.The sufficient conditions of local asymptotic stability and the occurrence of hopf bifurcation were obtain,which is a beneficial complement to present outcomes. |
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| Keywords: | time delay local asymptotic stability hopf bifurcation |
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