Title of article
SOLVING FRACTIONAL-ORDER COMPETITIVE LOTKA-VOLTERRA MODEL BY NSFD SCHEMES
Author/Authors
ZIBAEI, S Department of Mathematics - School of Mathematical Sciences - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran , NAMJOO, M Department of Mathematics - School of Mathematical Sciences - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran
Pages
14
From page
264
To page
277
Abstract
In this paper, we introduce fractional-order into a model competitive LotkaVolterra 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.
Keywords
fractional differential equations , Lotka-Volterra model , competitive preypredator system , non-standard finite difference scheme , stability
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2016
Record number
2581007
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