一个三分子饱和反应数学模型的定性分析

Qualitative Analysis of A Mathematical Model of Three——Molecule Saturated Reaction

本文建立了一类酶作用下的饱和反应的数学模型,并对此模型中生成物随反应物参数变动而变动的情形进行了研究。得到了平衡点的全局稳定性和一个周期性耗散结构的存在性等结果。

In this paper, a differential equation model of a biochemical reactionwas cstablished. In this system, the global asymptotic stability of the equilibriaand the existence of the limit cycle was obtained by study the variation of theparameter.