Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This study examines the complexity of a discrete-time predator-prey system with ratio-dependent functional response.
We establish algebraically the conditions for existence of fixed points and their stability.
We show that under some parametric conditions the system passes through a bifurcation (flip or Neimark-Sacker).
Numerical simulations are presented not only to justify theoretical results but also to exhibit new complex behaviors which include phase portraits, orbits of periods 9, 19, and 26, invariant closed circle, and attracting chaotic sets.
Moreover, we measure numerically the Lyapunov exponents and fractal dimension to confirm the chaotic dynamics of the system.
Finally, a state feedback control method is applied to control chaos which exists in the system.
American Psychological Association (APA)
Rana, Sarker Md. Sohel. 2017. Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151440
Modern Language Association (MLA)
Rana, Sarker Md. Sohel. Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151440
American Medical Association (AMA)
Rana, Sarker Md. Sohel. Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151440
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151440