常数输入的生化反应三分子模型定性分析

Qualitative Analysis of Fri-Molecule Models of Bio-Chemical Reaction with Constant Input

生化反应过程中出现的一类具有常数输入的三分子反应，其数学模型为本文讨论其极限环存在性和唯一性等问题，证明了当时，极限环的存在性及唯一性，当时，在第一象限内没有极限环。

The main purpose of this paper is to present a class of the model reaction with constant input in Bio-Chemistry. The model can be described as the following set of ordinary differential equations: Using qualitative analysis method of ordinary differential equations the author has studied the properties of the type of the equilibrium points of the system in the first quadrant and obtained the following results: When , there exists an unique limit cycle to the system; When , there exists on limit cycle to the system in the first quadrant.