  A new approach to Dynamical Monte Carlo Methods is introduced to simulate
markovian processes. We apply this approach to formulate and study an epidemic
Generalized SIRS model. The results are in excellent agreement with the forth
order Runge-Kutta Method in a region of deterministic solution. We also
demonstrate that purely local interactions reproduce a poissonian-like process
at mesoscopic level. The simulations for this case are checked
self-consistently using a stochastic version of the Euler Method.
