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

被引：20

作者：

Elettreby, Mohammed Fathy ^{[1
,2
]}

Al-Raezah, Ahlam Abdullah ^{[3
]}

Nabil, Tamer ^{[1
,4
]}

机构：

[1] King Khalid Univ, Fac Sci, Math Dept, Abha 9004, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, Egypt

[3] King Khalid Univ, Fac Sci & Arts, Math Dept, Dhahran Al Janoub, Saudi Arabia

[4] Suez Canal Univ, Fac Comp & Informat, Basic Sci Dept, Ismailia, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷

关键词：

DIFFERENTIAL-EQUATIONS; PREY; STABILITY; DYNAMICS;

D O I：

10.1155/2017/6714538

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：12

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