A. Suryanto, W.M. Kusumawinahyu, I. Darti, I. Yanti
A nonstandard finite difference scheme is constructed to solve a SIR epidemic model with modified saturated incidence rate. The dynamical properties of the resulting discrete system are then analyzed. It is shown that the discrete system is dynamically consistent with the continuous model because it preserves essential properties of the considered model, such as positivity and boundedness of solutions, equilibrium points and their stability properties. These properties are confirmed by numerical simulations. © 2013 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
Department of Mathematics, Faculty of Sciences, Brawijaya University, Malang, 65145, Jl. Veteran, Indonesia
