  An epidemic model with births and deaths is considered on a two dimensional
LxL lattice. Each individual can have global infective contacts according to
the standard SIR model rules or local infective contacts with its nearest
neighbors. We propose a deterministic approach to this model and verified that
there is a good agreement with the stochastic simulations for different
situations of the disease transmission and parameters corresponding to
pertussis and rubella in the prevaccine era.
