一类生化反应系统的极限环的存在性

Existence of the Limit Cycle of a Class of Biochemical Reaction System

利用常微分方程定性理论的方法,讨论了一类具有二重饱和反应速度的生化反应模型。给出了该系统在平衡点的散度小于等于零时的极限环存在的充分条件,改进文[1]的工作。

This paper discusses a class of biochemical reaction system with doubly saturated reaction speed by using the method of qualitative theory of ordinary differential equation. The sufficient conditions of existence of the limit cycle of the system are obtained when the divergence at equilibrium point of this system is less than or equal to zero, thus improve the work of article[1].