摘要
考虑一个带避难所的时滞捕食系统,分析了平衡解的稳定性及其局部Hopf分支.通过规范型理论和中心流行理论,给出Hopf分支中周期解分支的稳定性和方向的明确公式.
We consider a delayed predator-prey system with a refuge.We consider the stability and the existence of local Hopf bifurcations of the equilibria,and then derive explicit formulas which enable us to determine the stability and the direction of periodic solutions bifurcating from Hopf bifuication,using the normal form theory and center manifold argument.
作者
魏臻
WEI Zhen(School of Electronic and Information Engineering,Fuqing Branch of Fujian Normal University,Fuqing Fujian 350300 China;Department of Information Technology,Concord University College Fujian Normal University,Fuzhou Fujian 350117 China)
出处
《生物数学学报》
2019年第2期257-267,共11页
Journal of Biomathematics
基金
福建省中青年教师教育科研项目(JAT170682).
关键词
时滞
局部Hopf分支
周期解
稳定性
Time delay
Local Hopf bifurcation
Periodic solutions
Stability
