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时变环境下Chemostat中微生物连续培养食物链模型的分歧分析 被引量：3

Bifurcation Analysis to a Food Chain Model in Chemostat with Time Varying Environment
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摘要 研究均匀搅拌的Chemostat中微生物连续培养的单食物链模型．模型的特点是在营养输入项中引入时变环境,以便更逼真地模拟自然现象．用单特征值分歧定理得到了周期解存在的条件,用Crandall-Rabinowitz定理证明了单种群分歧解的稳定性． This paper deals with a food chain model of microbial continuous culture in Chemostat with time varying environment. The existence of periodic solutions is determined by the bifurcation theory from simple eigenvalues. In addition, the stability of periodic solutions for one species model is obtained via the Crandall-Rabinowitz stability theorems.
作者 刘婧 郑斯宁
机构地区 大连海事大学数理系 大连理工大学应用数学系
出处 《生物数学学报》 CSCD 北大核心 2006年第1期89-96,共8页 Journal of Biomathematics
基金 国家自然科学基金资助项目(19871008)
关键词 CHEMOSTAT 食物链 时变环境 分歧 稳定性 Chemostat Food chain Time varying environment Time varying bifurcation Stability
分类号 O175.14 [理学—基础数学]
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参考文献12

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二级参考文献14

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共引文献21

同被引文献46

引证文献3

二级引证文献10

生物数学学报
2006年 第1期

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