A NSFD scheme for Lotka–Volterra food web model

Abstract

A nonstandard finite difference (NSFD) scheme has been constructed and analyzed for a mathematical model that describes Lotka–Volterra food web model. This new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. Linearized stability theory and Schur–Cohn criteria are used for local asymptoticstability of this discrete time model. Numerical results are given to support the results.