具有比率依赖和年龄结构的捕食食饵系统的分支研究
BIFURCATION IN A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED IN THE PREY POPULATION

本文研究了具有比率依赖的捕食食饵的分支问题.利用线性特征方程的方法，获得了方程解的稳定性结果，得到了Hopf分支的方向和稳定性的充分条件.
In this paper, we study the bifurcation of ratio-dependent predator-prey system. By using the characteristic equation of the linearized system and the center manifold theorem, we derive the stability of the system and direction of the Hopf bifurcation