Before revision:  Ifinfected communities (including those that become re-infected in the future) are quick enough to act , the number of actively infected communities ( and thus the number of communities in which such measures are required ) will exponentially decrease over time  .
After revision:  Ifinfected communities (including those that become re-infected in the future) are quick enough to act , the number of actively infected communities ( and thus the number of regions in which such measures are required ) will exponentially decrease over time .