应用数学2012，Vol.25Issue(1)：131-139,9.
一类具有阶段结构和时滞的捕食模型的稳定性及Hopf分支
Stability and Hopf Bifurcation in a Predator-prey Model with Stage Structure and Time Delay
摘要
Abstract
A predator-prey system with time delay due to the gestation of the predator and stage structure for both the predator and the prey is proposed and investigated.By analyzing the corresponding characteristic equations,the stability of a positive equilibrium and two boundary equilibria of the system is discussed,respectively.Further,the existence of Hopf bifurcations at the positive equilibrium is also studied.By using the normal form theory and center manifold theorem,formulae determining the direction of bifurcations and the stability of bifurcating periodic solutions are given.关键词
捕食模型/阶段结构/时滞/稳定性/Hopf分支Key words
Predator-prey model/Stage structure/Time delay/Stability/Hopf bifur cation分类
数理科学引用本文复制引用
王玲书..一类具有阶段结构和时滞的捕食模型的稳定性及Hopf分支[J].应用数学,2012,25(1):131-139,9.基金项目
Supported by the National Natural Science Foundation of China (11101117,11071254) （11101117,11071254）
