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.