Iranian Journal of Numerical Analysis and Optimization (Feb 2016)

A nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model

  • Sadegh Zibaei,
  • Mehran Namjoo

DOI
https://doi.org/10.22067/ijnao.v6i1.41619
Journal volume & issue
Vol. 6, no. 1
pp. 53 – 79

Abstract

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‎‎In this paper‎, ‎we introduce fractional-order for a model of tritrophic food chain Lotka-Volterra‎. ‎Moreover‎, ‎we discuss the stability analysis of fractional system‎. ‎The nonstandard finite difference (NSFD) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional-order Lotka-Volterra system‎. ‎Numerical results show that the‎ ‎NSFD approach is easy to implement and accurate when applied to fractional -order Lotka-Volterra system‎.

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