A novel strategy of bifurcation control for a delayed fractional predator-prey model

被引：88

作者：

Huang, Chengdai ^{[1
]}

Li, Huan ^{[2
]}

Cao, Jinde ^{[3
,4
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

[2] Xinyang Normal Univ, Coll Life Sci, Xinyang 464000, Peoples R China

[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[4] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷

关键词：

Fractional-order; Time delay; Extended feedback; Bifurcation control; Predator-prey system; DYNAMICAL BEHAVIORS; DIFFERENTIAL SYSTEM; NEURAL-NETWORKS; TIME-DELAY; SYNCHRONIZATION; STABILITY; CHAOS;

D O I：

10.1016/j.amc.2018.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims at controlling bifurcation of a fractional predator-prey system by an original extended delayed feedback controller. Firstly, some sufficient conditions of delay-induced bifurcations for such uncontrolled system are captured regarding time delay as a bifurcation parameter. Secondly, a generalised delayed feedback controller is subtly designed to control Hopf bifurcation for the proposed system. It suggests that bifurcation dynamics can be controlled efficaciously for such system by carefully adjusting extended feedback delay or fractional order so long as the other parameters are established. Thirdly, the bifurcation diagrams are meticulously plotted. The obtained results consumedly popularize the previous studies concerning bifurcation control of delayed fractional-order systems. To underline the effectiveness of the proposed control scheme, some numerical simulations are ultimately addressed. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：808 / 838

页数：31

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