Before revision: The spread of an epidemic  is considered in the context of an SIR spatial stochastic model that includes a parameter 0\le p\le 1 that assigns weights p and 1- p to global and local infective contacts respectively.
After revision: The spread of an epidemic process is considered in the context of an SIR spatial stochastic model that includes a parameter 0\le p\le 1 that assigns weights p and 1- p to global and local infective contacts respectively.