SOLVING FRACTIONAL-ORDER COMPETITIVE LOTKA-VOLTERRA MODEL BY NSFD SCHEMES

被引：0
|
作者：
Zibaei, S. [1 ]
Namjoo, M. [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Sch Mat Sci, Dept Math, Rafsanjan, Iran
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2016年 / 6卷 / 02期
关键词：
fractional differential equations; Lotka-Volterra model; competitive preypredator system; non-standard finite difference scheme; stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce fractional-order into a model competitive Lotka-Volterra prey-predator system. We will discuss the stability analysis of this fractional system. The non-standard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional-order Lotka-Volterra system. Proposed non-standard numerical scheme is compared with the forward Euler and fourth order Runge-Kutta methods. Numerical results show that the NSFD approach is easy and accurate for implementing when applied to fractional-order Lotka-Volterra model.
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页码：264 / 277
页数：14
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