多分子化学反应速度模型的定性分析

Qualitative Analysis of a Multi-molecules Chemical Reaction Velocity Model

本文研究了多分子化学反应速度模型［１］（Ｍ）的有界性，高次平衡点的类型和稳定性以及极限环的存在性。其中关于极限环的存在性的结论，在ａ＝０，ｑ＞１时比文献［２，３］的结论更强（注：文献［２，３］只证明了ａ＝０，ｐ＝１及ａ＝０，ｐ＝２，ｑ＝２时，极限环的存在性）；并且首次研究了ａ＞０时，极限环的存在问题。

This paper has been studied the boundedness,the type and the stability of the higher order singularity,and the existence of the limit-cycle of a multi-molecules chemical reaction velocity model. The result of the existence of the limit-cycle is stronger then paper as a=1,q>1 (Notation paper only obtained the result of the existence of the limit-cycle as a=0,p=1 and a=0,p=2,q=2). This paper has also studied the existence of the limit-cycle as a>0 at first.