I think each day the infected count increases 2000 to 3000. It indicates a capacity limits at the health care system to diagnose and confirm an infected case.
To me the new infection numbers hovering around 3000 means they don't have capacity to test more or faster. Thats the biggest problem in Wuhan that the healthcare systems got overwhelmed so they are still trying to catch up. Where as rest of the cities got enough of a warning to maybe curtail the spread. With people themselves isolating themselves so that they don't catch the virus I personally feel the virus won't spread as fast in other places.