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厌氧微生物生态数学模型的全局稳定性
引用本文:郭瑞海 袁晓凤. 厌氧微生物生态数学模型的全局稳定性[J]. 西南民族学院学报(自然科学版), 1997, 23(2): 117-122
作者姓名:郭瑞海 袁晓凤
作者单位:西南民族学院数学系(郭瑞海),中国科学院成都计算所数理室(袁晓凤),四川联合大学自动化系(柯益华)
摘    要:运用常微分方程空间定性理论的手法对厌氧消化过程微生物生态数学模型进行定性分析.通过寻找极限超平面将六维问题转化为三维,进而讨论了平衡点的类型及其稳定性.证明了正平衡点的全局稳定性

关 键 词:厌氧微生物,菌群,平衡点,全局稳定性

Global Stability on the Ecological Mathematics Model of the Anaerobic
Guo Ruihai. Global Stability on the Ecological Mathematics Model of the Anaerobic[J]. Journal of Southwest Nationalities College(Natural Science Edition), 1997, 23(2): 117-122
Authors:Guo Ruihai
Abstract:The ecological Mathematics model of the anaerobic presented is analysed by using the method of the qualitative theory of ordinary differential equations.The six dimension problem has become three dimension problem by finding the limit super planes.The equilibrium points and their stability are discussed.The global stability of the positive equilibrium point has been proved.
Keywords:anaerobic  microbe population  equilibrium point  global stability  
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