I guess the reason why bitcoin has a stable price is because miners are mining sometimes or even stop mining at all. The supply of coins freeze and the price would definitely freeze to. Correct me if im wrong but i really believe mining and the price are linked. If one stop moving then the other one will follow.
I dont see any miners quitting besides small miners. Big miners are mining still and waiting. They are improving their equipment with new generations of asics and continuing operations.
Apparently, small miners as long as the condition is no longer favorable for them will always be the ones to quit and in this kind of unfavorable condition, we are talking about low prices, but in the long run for those who are really not looking at the short term, they really would not have to worry much.
For instance, if the price drops far below $6000, a lot of speculation going on shows that it becomes non profitable for miners, and then we will definitely see the smaller ones leaving for that moment, and the bigger ones, getting the pay for confirmations they do as the difficulty drops.