If nobody's buying, the price will keep the same
It's all supply and demand
If we are in a bull market, it means that the demand are very high, so it's impossible to have bull market without people buying
That's why it's a bull market because of demand, if there's no buying happen it will stand still, and it won't initiate movement, but its quite impossible for a situations like that because traders will always make strategy to earn profit, either they will hodl or gamble just to have a flow.