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

Document Type : Research Article

Authors

• S. Zibaei
• M. Namjoo

Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

10.22067/ijnao.v6i1.41619

Abstract

‎‎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.

Keywords

• Fractional differential equations
• Lotka-Volterra model
• prey-predator system
• Nonstandard finite difference scheme
• ‎ ‎Stability

20.1001.1.24236977.2016.6.1.4.6

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