Does Cure Disease remove the disease and prevent re-exposure? Disease like filth fever go away and stay away with cure disease.

Is the disease really a plain old disease or is it part curse, a full curse, or perhaps a very tricky poison with symptoms of a disease?
What is the cause of the plague and how does it spread?
Where did it come from aka patient 0?
Is there an intelligence spreading the disease beyond lockdown or can it be contained with a quarantine zone?

It doesn't help at all if every single day you cure everyone but the next day everyone or most everyone is sick again.