中文摘要：

运用微分方程定性理论,研究一类具有二重饱和度的四分子可逆生化反应模型,得到该系统正平衡点全局稳定和存在极限环的充分必要条件.

英文摘要：

Based on the qualitative theory of differential equations,a class of systems with four-molecule reversible biochemical reaction combining a second-order saturation got further investigation.It was shown necessary and sufficient conditions for the existence of limit cycles and globally stability of the positive equilibrium of this system.