Fractional-Order Model of Two-Prey One-Predator System

Mohammed Fathy Elettreby, Ahlam Abdullah Al-Raezah and Tamer Nabil

Mathematical Problems in Engineering, 2017, vol. 2017, 1-12

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6714538

DOI: 10.1155/2017/6714538

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