生化反应中一类非线性方程的定性分析

Qualitative Analysis of A NonlinearSystem in Bio-Chemical Reactions

本文研究了非线性方程组；其中ｘ≥０，ｙ≥０，参数α＞０，ｑ≥３的情况，结果是：存在，使得当时，方程组（１）α有唯一稳定的极限环；当或时，方程组（１）α无极限环。

In this paper we consider for a nonlinear system in biochemical reactions:The result is :there is no limit cycle when ;there exists an suchthat if ,then(1) αhas a unique limit cycle;if α≥α*,(1)α has no limit cycle.