Fortunately it appears the parameters used in that model were too negative. The experience in China is the most critical data we have. They did their "shut down" and were able to reduce the number of cases. They are testing widely so they see rebounds immediately and so far there have not been a lot. They avoided widespread infection. The Imperial model does not match this experience. Models are only as good as the assumptions put into them.
https://www.gatesnotes.com/Health/A-coronavirus-AMA