A NSFD Scheme for the Solving Fractional-Order Competitive Prey-Predator System

被引：0

作者：

Namjoo, Mehran ^{[1
]}

Zibaei, Sadegh ^{[2
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran

[2] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 04期

关键词：

fractional differential equations; Lotka-Volterra model; competitive prey-predator system; nonstandard finite difference scheme; stability; FINITE-DIFFERENCE SCHEME; CHEMOSTAT MODEL; NONSTANDARD; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional-order Lotka- Volterra system. Proposed nonstandard 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.

引用

页码：1933 / 1945

页数：13

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