No, but they usually stop, when the immune system is done fighting them, either successfully or not. And pandemies usually stop, when enough people build up immunity, or failed doing so. Or when the disease is so deadly it kills quicker than it can spread. Which is here not at all the case.

So even if nobody would be doing anything, this disease would eventually go away.

It is "only" a question of how many casualties it will take. And we are discussing the cost/benefit of the measures to society as a whole. Shutting everything down has real costs, too.