Right now demand is keeping up with the supply. Hence the stability.
Resolve the block issue and the demand will be greater than the current supply.
Cut the supply in half and the demand will be far greater than the supply.
Face reality that there are not that many Bitcoin left to enter circulation, and demand will skyrocket.
Stability of the price is not the right term and is heavily misused recently. Bitcoin is a very young asset and by definition its peice is very volatile. We have currently a mid-term horizontal trend the should end up as soon as we get some more positive events (development) or the disappoinment with the redult of the halving pump. Halving won't influence price much as there will be already 75% of all coins mined. They can be used to hedhe for the lower number of coins in the block till the time the difficulty adjusts.