Schnakenberg型化学反应方程的定性分析

Qualitative Analysis of Chemical Reaction System of Schnakenerg Type

研究了具有如下形式的Schnakenberg型方程u′=a-u+u2v,t>0,v′=b-u2v,t>0,u(0)=u0>0,v(0)=v0>0.讨论了平衡解的稳定性及相关Hopf分歧的发生,并且判断分歧发生的方向.

In this paper, we mainly discuss the Schnakenberg chemical reaction model{u′=a-u＋u^2v, t〉0 ,v′=b-u^2v, t〉0 u（0）=u0〉0,v（0）=v0〉0, We consider the stability of equilibrium, and we obtain the condition for Hopf bifurcation and direction of the bifurcation.