R. Alawia, I. Darti, A. Suryanto
In this paper we investigate the dynamics of Euler discretization of predator-prey model with a delay (τ). Its dynamics are studied in term of local stability analysis and the existence of Neimark-Sacker bifurcation. By analyzing the corresponding characteristic equation, it is shown that Neimark-Sacker bifurcation occur when τ crosses a sequence of critical values. Such analytical finding is confirmedby some numerical simulations. © 2013 R. Alawia, I. Darti and A. Suryanto.
Department of Mathematics, Faculty of Sciences, Brawijaya University, Jl. Veteran Malang 65145, Indonesia
