HOPF BIFURCATION ANALYSIS FOR A DELAYED PREDATOR-PREY SYSTEM WITH A PREY REFUGE AND SELECTIVE HARVESTING

被引：8
|
作者：
Peng, Miao [1 ]
Zhang, Zhengdi [1 ]
Wang, Xuedi [1 ]
Liu, Xiuyu [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Predator-prey system; prey refuge; selective harvesting; local stability; Hopf bifurcation; FUNCTIONAL-RESPONSE; STAGE STRUCTURE; TIME-DELAY; MODEL; STABILITY; DIFFUSION; CHAOS;
D O I：
10.11948/2018.982
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a delayed predator-prey system with Holling type III functional response incorporating a prey refuge and selective harvesting is considered. By analyzing the corresponding characteristic equations, the conditions for the local stability and existence of Hopf bifurcation for the system are obtained, respectively. By utilizing normal form method and center manifold theorem, the explicit formulas which determine the direction of Hopf bifurcation and the stability of bifurcating period solutions are derived. Finally, numerical simulations supporting the theoretical analysis are given.
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页码：982 / 997
页数：16
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