| 连续时滞对微生物连续培养过程振荡行为影响 |
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| 引用本文： | 李晓芳,冯恩民,连涵生.连续时滞对微生物连续培养过程振荡行为影响[J].大连理工大学学报,2011,51(2):309-312. |
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| 作者姓名： | 李晓芳 冯恩民 连涵生 |
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| 作者单位： | 大连理工大学数学科学学院;哈尔滨工业大学(威海)数学系; |
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| 基金项目： | “九七三”国家重点基础研究发展计划资助项目(2007CB714304); 威海市科技发展计划资助项目; 哈尔滨工业大学(威海)研究基金资助项目(HIT(WH)2008009,HIT(WH)ZBQD201006) |
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| 摘 要： | 以微生物歧化方法生产1,3-丙二醇的连续发酵为背景,考虑乙酸和乙醇对微生物生长的抑制作用,在细胞比生长速率中引入弱核连续时滞,提出了一个五维连续时滞动力系统.将平均时滞的倒数看作参数,研究了平均时滞对系统正平衡点局部稳定性的影响.运用Hopf分支的代数判据,给出了存在Hopf分支的操作参数区域,并数值模拟了分支的周期解...
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| 关 键 词： | 连续培养 时滞 Hopf分支 稳定性 周期解 |
Effect of distributed time-delay on oscillation behaviors in microbial continuous culture |
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| LI Xiaofang,FENG Enmin,LIAN Hansheng.Effect of distributed time-delay on oscillation behaviors in microbial continuous culture[J].Journal of Dalian University of Technology,2011,51(2):309-312. |
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| Authors: | LI Xiaofang FENG Enmin LIAN Hansheng |
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| Institution: | LI Xiao-fang*1,2,FENG En-min1,LIAN Han-sheng11.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China,2.Department of Mathematics,Harbin Institute of Technology at Weihai,Weihai 264209 |
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| Abstract: | Taking acetate and ethanol inhibition for microbe into account with the continuous fermentation by bio-dissimilation to produce 1,3-propanediol, the weak nuclear continuous time-delay is introduced into the specific cellular growth rate,and a five-dimensional distributed time-delay differential system is presented.Taking the inverse of the average time-delay as parameter,the effect of average time-delay on the local stability of the positive equilibrium(s) is discussed.The operating parameter region in whic... |
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| Keywords: | continuous culture time-delay Hopf bifurcation stability period solution |
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