A NSFD scheme for Lotka–Volterra food web model

Document Type: Regular Paper

Authors

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

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

Abstract

A nonstandard finite difference (NSFD) scheme has been constructed and analyzed for a mathematical model that
describes LotkaVolterra 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 SchurCohn criteria are used for local asymptoticstability of this discrete time model. Numerical
results are given to support the results.

Keywords