Author/Authors :
Zibaei، S نويسنده Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan , Rafsanjan, Iran Zibaei, S , Namjoo، M نويسنده 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 Lotka–Volterra food web model . This new discrete system has the same stability properties as the continuous model and, on the whole , it preserves the same local asymptotic stability properties . Linearized stability theory and Schur–Cohn criteria are used for local asymptotic stability of this discrete time model . Numerical results are given to support the results.
