Schimit and Monteiro [25] showed that in an individuallevel model, R 0 cannot be uniquely determined from some features of transient behaviour of the infective group. The value of R 0 can be unambiguously determined from the asymptotical stable stationary concentrations, but this relies on waiting for the system to reach its permanent regime, which is not feasible in practice. The same value of R 0 can be associated to networks with distinct values of clustering coefficients and average shortest path length. This result can affect the evaluation of the effectiveness concerning different strategies employed for controlling a disease. Because distinct values of topological properties can produce the same value of R 0 in a model considering the spatial structure of the contact network, it is difficult to evaluate the effective contribution of each control measure. This is because the correspondences among R 0 and the topological properties of the contact network are not one-to-one.