一类非线性系统的定性分析

QUALITATIVE ANALYSIS OF A NONLINEAR SYSTEM

本文讨论的是生化反应中一类非线性系统：其中ａ＞０，α＞０；得到了系统（１）的正半轨线的有界性和极限环不存在及唯一性的条件。

In this paper we consider for a nonlinear system in bio--chemical reaction:here: a>0. α>0 ;obtain: all positve semitrajectories of (1) with positive initial values are bounded; the condition of no periodic solution and the condition of uniqueness about limits cycles.