Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks
Joint Authors
Zhao, Huitao
Sun, Yaowei
Wang, Zhen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A delayed Lotka-Volterra predator-prey system with time delayed feedback is studied by using the theory of functional differential equation and Hassard’s method.
By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation.
An explicit algorithm is given to determine the directions and stabilities of the bifurcating periodic solutions.
We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor.
Finally, some numerical simulations are given to illustrate the effectiveness of the results found.
American Psychological Association (APA)
Zhao, Huitao& Sun, Yaowei& Wang, Zhen. 2014. Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033526
Modern Language Association (MLA)
Zhao, Huitao…[et al.]. Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033526
American Medical Association (AMA)
Zhao, Huitao& Sun, Yaowei& Wang, Zhen. Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033526
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033526
