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一类具有时滞的恒化器模型的定性分析 被引量：3

Qualitative Analysis of a Chemostat Model with Time Delay
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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. 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.
作者 刘三红
机构地区 咸宁学院数学与统计学院
出处 《佳木斯大学学报（自然科学版）》 CAS 2012年第2期295-296,300,共3页 Journal of Jiamusi University：Natural Science Edition
关键词 时滞 局部渐近稳定 HOPF分支 time delay local asymptotic stability hopf bifurcation
分类号 O175.12 [理学—基础数学]
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参考文献10

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  • 9梁肇华,李宪高.一类具时滞反应罐方程的Hopf分支[J].广西科学,2000,7(4):254-256. 被引量：1
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二级参考文献11

  • 1[1]Freedman H I, So J, Waltman P.Coexistence in a model of competition in the chemostat incorporating discrete delay.SIAM J Appl Math, 1989,49:859～870.
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同被引文献12

引证文献3

二级引证文献2

佳木斯大学学报（自然科学版）
2012年 第2期

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