一类多分子反应模型的定性分析

The qualitative analysis of a kind of multimolecules reaction model

对一类多分子反应模型x=1-αx-x2y2,y=β(x2y2-y)在α>0,β>0时进行了研究.分 析了系统平衡点的个数及其稳定性,讨论了系统闭轨线的不存在性和系统的一阶Hopf分支.

In this paper, a kind of multimolecules reaction model x = 1- ax - x2y2, y=β(x2y2-y)(α>0, β>0) is studied and the stability and number of equilibrium are analyzed. The nonexistence of closed orbit and one-order Hopf's bifurcation of the system are also discussed.