Bifurcation analysis and hybrid control of a discrete-time predator-prey model

被引：10
|
作者：
Fei, Lizhi [1 ]
Chen, Xingwu [1 ]
Han, Bensan [2 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China
[2] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu, Sichuan, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2021年 / 27卷 / 01期
关键词：
Hybrid control; Neimark-Sacker bifurcation; predator-prey model; transcritical bifurcation;
D O I：
10.1080/10236198.2021.1876038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete-time predator-prey model with six parameters is investigated. After splitting the parameter space with respect to the number of fixed points, we obtain both transcritical bifurcation surfaces and a Neimark-Sacker bifurcation surface in the six-dimensional parameter space by the normal form method. Then we apply a hybrid control strategy to control the Neimark-Sacker bifurcation so that the positive fixed point of the controlled system is locally asymptotically stable. Numerical simulations are performed to illustrate our theoretical results.
引用
收藏
页码：102 / 117
页数：16
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