一类多分子反应模型的定性分析

Qualitative analysis of a kind of multimolecules reaction model

对一类多分子反应x=1-αx-x2y3,y=β(x2y3-y)(α>0,β>0)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,同时讨论了系统无环的充分条件以及极限环的存在唯一性.

A kind of multimolecules reaction =1-αx-x^2y^3,=β(x^2y^3-y) (α>0,β>0) 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 conditions of the existence and uniqueness of the limit cycle of the model are also discussed.