Rovers went into the game behind leaders Tranmere in League One on goal difference but their failure to beat mid-table Dons coupled with Bournemouth's victory over Crewe has instead seen the south-coast side take the summit by virtue of a point.
It was the Dons' first visit to the Keepmoat Stadium and they started brightly, Izale McLeod twice firing just past a post either side of Andy Griffin's similar effort at the other end.
Billy Paynter blasted a good chance over the crossbar for Rovers towards the end of the first half.
A scrappy second period hardly looked like providing a winner, with both keepers untroubled as attacks failed to breach either defence.
McLeod blasted well off target in the 86th minute after a home attack had broken down, summing up a largely forgettable night for the 6,423 present.