Bifurcation Based-Delay Feedback Control Strategy for a Fractional-Order Two-Prey One-Predator System
Joint Authors
Li, Shuai
Huang, Chengdai
Song, Xinyu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The issue of bifurcation control for a novel fractional-order two-prey and one-predator system with time delay is dealt with in this paper.
Firstly, the characteristic equation is investigated by picking time delay as the bifurcation parameter, and some conditions for the appearance of Hopf bifurcation are obtained.
It is shown that time delay can give rise to periodic oscillations and each order has an important impact on the occurrence of Hopf bifurcation for the controlled system.
Then, it is illustrated that the control result is obviously influenced by the feedback gain.
It is also noted that the inception of the bifurcation can be postponed if the feedback gain decreases.
Finally, two simulation examples are carried out to verify the chief theoretical results.
American Psychological Association (APA)
Li, Shuai& Huang, Chengdai& Song, Xinyu. 2019. Bifurcation Based-Delay Feedback Control Strategy for a Fractional-Order Two-Prey One-Predator System. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1133333
Modern Language Association (MLA)
Li, Shuai…[et al.]. Bifurcation Based-Delay Feedback Control Strategy for a Fractional-Order Two-Prey One-Predator System. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1133333
American Medical Association (AMA)
Li, Shuai& Huang, Chengdai& Song, Xinyu. Bifurcation Based-Delay Feedback Control Strategy for a Fractional-Order Two-Prey One-Predator System. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1133333
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133333