In this paper we propose a nonstandard finite difference scheme
for an epidemic model which considers the effect of media coverage on the
spread of some infectious diseases. We show that this scheme preserves
equilibrium points of the corresponding continuous system. Furthere more
we study the qualitative properties of the system, such as, positivity, stability of the equilibria and Neimark-Sacker bifurcation. The results demonstrates that the discretized epidemic model is dynamically consistent with
the continuous system.
