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

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