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.
Uh the reason why it is currently somewhat more stable that usual is because we are at the end of the bear market at the bottom of the market and we're at the beginning of the momentum shift from bear to bull market. Look at the end of the last crash in mid-2015, same thing happened, stabilized for a bit at the bottom of the market as it slowly turned around and began the next climb. That cycle was slower so we probably won't experience months of relative stability this time, but I could see September and October being relatively stable in price and then November and December we start seeing the first evidence of Bitcoin breaking out of the bear market and forming higher highs for the first time in a year.