一类二级饱和反应模型研究

The Study of a Two-order Saturated Reaction

化学反应的反应速度虽然是浓度的函数 ,但常有一个最大值 ,也就是有一个饱和反应速度。运用了常微分方程定性理论和稳定性理论 ,分析了一类二级饱和反应模型。得到它的解的有界性、正平衡点的全局渐近稳定性和极限环的存在性。

The reaction velocity of chemical reaction is the function of chemical density,but has the maximum reaction velocity.That is saturated reaction.In this paper,we applied the qualitative and stability theory of ordinary differential equation and analysed a two-order saturated reaction system.We obtained the boundary of its positive semi-trajectory with positive initial values,the global asymptotic stability of its equilibrium,the existence of its limit cycles.