Stability and Hopf bifurcation of a predator-prey model with stage structure and time delay for the prey

被引：25
|
作者：
Song, Yan [1 ]
Xiao, Wen [1 ]
Qi, Xiaoyu [1 ]
机构：
[1] Bohai Univ, Sch Math & Phys, Jinzhou 121003, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 83卷 / 03期
关键词：
Predator-prey model; Stage structure; Time delay; Local and global stability; Hopf bifurcation; SYSTEM; GROWTH;
D O I：
10.1007/s11071-015-2413-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A predator-prey system with stage structure and time delay for the prey is investigated. By analyzing the corresponding characteristic equations, the local stability of a positive equilibrium and two boundary equilibria of the system is discussed, respectively. By using persistence theory on infinite dimensional systems and comparison argument, respectively, sufficient conditions are obtained for the global stability of the positive equilibrium and one of the boundary equilibria of the proposed system. Further, the existence of a Hopf bifurcation at the positive equilibrium is studied. Numerical simulations are carried out to illustrate the main results.
引用
收藏
页码：1409 / 1418
页数：10
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