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Fractional-Order Model of Two-Prey One-Predator System
Joint Authors
Elettreby, M. F.
Nabil, Tamer
Al-Raezah, Ahlam Abdullah
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose a fractional-order model of the interaction within two-prey and one-predator system.
We prove the existence and the uniqueness of the solutions of this model.
We investigate in detail the local asymptotic stability of the equilibrium solutions of this model.
Also, we illustrate the analytical results by some numerical simulations.
Finally, we give an example of an equilibrium solution that is centre for the integer order system, while it is locally asymptotically stable for its fractional-order counterpart.
American Psychological Association (APA)
Elettreby, M. F.& Al-Raezah, Ahlam Abdullah& Nabil, Tamer. 2017. Fractional-Order Model of Two-Prey One-Predator System. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191462
Modern Language Association (MLA)
Elettreby, M. F.…[et al.]. Fractional-Order Model of Two-Prey One-Predator System. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1191462
American Medical Association (AMA)
Elettreby, M. F.& Al-Raezah, Ahlam Abdullah& Nabil, Tamer. Fractional-Order Model of Two-Prey One-Predator System. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191462
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191462