纺织高校基础科学学报2012，Vol.25Issue(3)：314-320,7.
具有扩散项的比率依赖型捕食食饵系统的稳定性和Hopf分支
The stability and Hopf bifurcation of ratio-dependent predator-prey system with diffusion
摘要
Abstract
The ratio-dependent predator-prey diffusion system is studied.In order to investigate the stability of the positive constant steady state and Hopf bifurcation,the system at the positive constant steady state is linearized and the associated characteristic equation is analyzed,and the asymptotic stability of the positive equilibrium is obtained.It is proved that the positive constant steady state loses stability as the delays cross certain values.The existence of Hopf bifurcation is obtained.关键词
Hopf分支/稳定性/时滞/比率依赖型/扩散Key words
Hopf bifurcation/stability/delay/ratio-dependent/diffusion分类
数理科学引用本文复制引用
张涛..具有扩散项的比率依赖型捕食食饵系统的稳定性和Hopf分支[J].纺织高校基础科学学报,2012,25(3):314-320,7.基金项目
Supported by NSFC(11101076) （11101076）
the Shanghai Committee of Science and Technology(11ZR1400200)and the Fundamental Research Funds for the Central Universities(2011D10903) （11ZR1400200）
