%0 Journal Article %T 具有比率依赖和年龄结构的捕食食饵系统的分支研究<br>BIFURCATION IN A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED IN THE PREY POPULATION %A 作者 %A 乔梅红 %A 刘安平 %J 数学杂志 %D 2017 %X 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.<br>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 %K 时滞 捕食食饵模型 稳定性 Hopf分支< %K br> %K time delay predator-prey model stability Hopf bifurcation %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170508&flag=1