Figure 1: The impact of the variation in (here = ) on the total number of infected individuals along 30 days for different initial values of infected individuals in patch : (a) , (b) , and (c) . Varying individuals’ flow intensity from one patch to another causes a notably increased appearance of infectives in the SIR model, due to the delayed entrance of infecteds. For this example we assume that patch is initially to be disease-free and that we are interested in controlling the flow of infected individuals towards it. Accordingly, we take . The other initial values are , , and . The parameter values are chosen from a particular influenza episode modeled with an SIR scheme [20], , . The values for the fractions of individuals moving between patches are chosen in a range estimated for patches with high interconnectivity [9]: , , and .