摘要
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.
出处
《数学杂志》
北大核心
2017年第5期956-968,共13页
Journal of Mathematics
基金
Supported by the Basic Research Program of Hubei Province(2014CFB898)
NSFC(11571326
11601496)
