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培养皿模型的Hopf分支分析
引用本文:李晓月,柏灵,杨帆,黄启昌. 培养皿模型的Hopf分支分析[J]. 东北师大学报(自然科学版), 2000, 32(3): 6-12
作者姓名:李晓月  柏灵  杨帆  黄启昌
作者单位:1. 东北师范大学数学系,吉林,长春,130024
2. 长春科技大学数学系,吉林,长春,130026
3. 通化师范学院数学系,吉林,通化,134002
基金项目:国家自然科学基金重点资助项目!( 1 93 3 1 0 61,1 9871 0 1 2 )
摘    要:对单种群的培养皿模型做了合理的改动,直接以培养液的流量和初始浓度为新的培养皿模型的Hopf分支参数,研究了它的Hopf分支以及稳定性,使分析加清晰。

关 键 词:培养皿模型 单种群 培养液 Hopf分支 渐进稳定
文章编号:1000-1832(2000)03-0006-07

Hopf bifurcation analysis of the chemostat models
LI Xiao-yue,BAI Ling,YANG Fan,HUANG Qi-chang. Hopf bifurcation analysis of the chemostat models[J]. Journal of Northeast Normal University (Natural Science Edition), 2000, 32(3): 6-12
Authors:LI Xiao-yue  BAI Ling  YANG Fan  HUANG Qi-chang
Affiliation:LI Xiao-yue(Department of Mathematics, Northeast Normal University, Changchun 130024, China)BAI Ling(Department of Mathematics, Changchun Science and Technology University, Changehun 130026, China)YANG Fan(Department of Mathematics, Tonghua Normal University, Tonghua 134002, China)HUANG Qi-chang(Department of Mathematics, Northeast Normal University, Changchun 130024, China)
Abstract:In this paper, it is proposed that some new ideas to modify the chemostat model with one species of organism. And flowing rate or the initial concentration of the input nutrient as Hopf bifurcation parameter of the new modified chemostat models leads to study the Hopt bifurcations and stability mone clearly.
Keywords:chemostat  Hopf bifurcation  asymptotically stable.
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