I am somewhat surprised that the number of new cases in China per day is diminishing fast. Perhaps China is under reporting, or perhaps instead they have achieved it by enforcing quarantine / self-isolation through methods that societies more used to liberal democracies would not tolerate.
It is worth noting that public health is about getting people to change the way they act - it sometimes means the disbelieving few have to accept temporary loss of liberty so disease does not get too ingrained amongst the masses. Those who have not spent 6 years in medical school sometimes just have to trust a little when enough doctors say the same thing...