Fractional-Order Model of Two-Prey One-Predator System. (30th August 2017)

• Record Type: Journal Article
• Authors: Elettreby, Mohammed Fathy; Al-Raezah, Ahlam Abdullah; Nabil, Tamer
• Other Names: Nohara Ben T. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-08-30
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/6714538
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.