Trija Fayeldi, Agus Suryanto, Agus Widodo
In this paper, Euler method is applied to discretize a SIR epidemic model with nonmonotone incidence rate. The obtained discrete dynamical system is then analyzed, specifically we determine the existence and stability of fixed points. It is shown analytically and numerically that the discrete model is dynamically consistent with its continuous model only for relatively small step-size. Moreover, numerical simulations not only illustrate the results, but also show the rich dynamics behaviors of the discrete system such as periodic solution and bifurcation. © 2013 by CESER Publications.
Department of Mathematics, Brawijaya University, Jl. Veteran - Malang 65145, Indonesia
