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 x=1 -αx - x2 yq,y=β(x2 yq - y) (α>0 ,β >0 ,q 2 )进行了研究 .讨论了系统平衡点的稳定性态 ,对系统极限环的位置做出了估计 。

In this paper, a kind of multimolecules reaction model=1-αx-x 2y q, =β(x 2y q-y)(α>0, β>0, p2) is studied. The stability of equilibrium is discussed. The location of the limit cycle of this system is estimated. Meanwhile, the sufficient conditions of nonexistence and existence and uniqueness of the limit cycle of the system are also discussed.