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
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.
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