本文对经典的描述捕食者与被捕食者关系的Lotka-Volterra模型进行改造，在方程中引入Holling type II功能性反应函数，并对此方程平衡点的存在性、稳定性、几何特征以及Hopf分支现象进行研究。最终能够得到结论：模型的平衡点除零解以外有且仅有一个正平衡点，且该正平衡点可以看做是两条直线的交点；系统的零解是不稳定的，正平衡点的稳定性需要由参数条件决定；所研究系统在c参数方向上具有Hopf分支现象。

This article reforms classical Lotka-Volterra System which describes the relationship between predator and prey. I introduced functional response function of Holling type II to the equation, and study on the existence, stability, geometric features and Hopf Bifurcation of the equilibrium points of this equation. And finally we can draw the conclusions that the equilibrium points of this equation only have one positive equilibrium point besides zero solution, and the positive equilibrium point can be regarded as the intersection point of two lines, the zero solution of the system is unstable, and the stability of the positive equilibrium point depends on the value of parameters, the system has Hopf Bifurcation on the parametric direction of c.