一类生化反应动力系统极限环的存在唯一性

The Existence and Uniqueness of a Limit Cycle for a Dynamical System in Biochemistry Reaction

研究微分方程定性理论的应用,利用定性分析的方法,讨论了一类在生化反应中的动力系统,证明了其极限环的存在性、不存在性及极限环的存在唯一性,从而得到了完整的结果。

In this paper, a class of dynamical system in biochemistry reaction is discussed by using the method of qualitative analysis. And, at the same time,the existence, nonexistence and uniqueness of a limit cycle are proved, so that the entire results for the system is obtained.