一类生化反应数学模型的定性分析

Qualitative Analysis in Bio-chemical Reactino's Mathematic Modelling

本文对一类生化反应的数学模型(1)dxdt=1-xnymdydt=ay(xnym-1)进行了定性分析,获得了方程组(1)在奇点(1,1)是结点、粗焦点或可能是中心也可能是细焦点的判据。

This paper has proceeded qualitative analysis to biochemical reaction's mathematic modelling (1)dxdt=1-x^ny^mdydt=ay(x^ny^(m-1)-1).on the equations(1),and have obtained the criterion that the singular piont(1,1)is the nodal point or the tough focal as well as may be the central point or fine focal.