We have shown that there exists the bifurcation point of the combination of 6 filter policies in the infection process. It is required to control the FDI(the combination of 5 filter policies) under the threshold of the bifurcation point for controlling the outbreak in a city. Even if we introduce the closing policy in a city, it is not effective over the threshold of the bifurcation point. It is strongly recommended to introduce the surveillance system of an execution level of each filter policy to control the level of FDI