摘要
研究了一类具有时滞和阶段结构的捕食模型的稳定性和Hopf分支.以滞量为参数,得到了捕食模型正平衡点的稳定性和Hopf分支存在的充分条件.利用规范型和中心流型定理,给出了确定周期解分支方向和稳定性的计算公式.
The stability and Hopf bifurcation of a predator-prey model with time delay and stage structure were investigated. By choosing the delay as a bifurcation parameter, the stability of a positive equilibrium and the existence of a Hopf bifurcation were established. Formulae determining the direction of bifurcations and the stability of the bifurcating periodic solutions were given by using the normal form theory and center manifold theorem.
出处
《淮海工学院学报（自然科学版）》
CAS
2013年第2期1-4,共4页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金
江苏广播电视大学
江苏城市职业技术学院"十二五"规划课题(12SEW-Q-098)
关键词
时滞
阶段结构
HOPF分支
time delay
stage structure
Hopf bifurcation
