三分子反应模型的稳定性

Stability of Three Molecular Reaction Model

本文讨论具有常量输入的三分子反应模型的稳定性.由反应速度方程建立数学模型,方程(2)有唯一正平衡位置 R(x~*,y~*),且是稳定的结点或焦点,再证明 R(x~*,y~*)是全局稳定的.

The author deals wite the stability of a three molecular reaction model with constant input.The model is established from reaction velocity equation. Equation(2)has an unique positive balanced position R(X~*,Y~*),which is also a stable knot or focus.It is proved that R(X~*,Y~*)is stable by and large.