Periodic pulse control of Hopf bifurcation in a fractional-order delay predator–prey model incorporating a prey refuge

Periodic pulse control of Hopf bifurcation in a fractional-order delay predator–prey model incorporating a prey refuge

Abstract This paper is concerned with periodic pulse control of Hopf bifurcation for a fractional-order delay predator–prey model incorporating a prey refuge. The existence and uniqueness of a solution for such system is studied. Taking the time delay as the bifurcation parameter, critical values of...

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Bibliographic Details
Main Authors: Xiuduo Liu, Hui Fang
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Fractional-order
Time-delay
Hopf bifurcation
Periodic pulse control
Predator–prey system
Linearized averaging system
Online Access:http://link.springer.com/article/10.1186/s13662-019-2413-9

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http://link.springer.com/article/10.1186/s13662-019-2413-9

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