A novel concept! I managed to get through with 0 deaths through rapid micromanagement. I liked the minimalism, it was immediately obvious what the doors and the hospitals would do. I think that adding a bit of flourish to the different events would make the game feel even nicer, e.g. making the red cross pulse when it cures an infection, or a small sneeze particle effect when someone infects someone else.
I really enjoyed it! Great job.