The short answer to that question is yes. Bedbugs will not only live on your mattress and boxspring, but will also migrate to other areas of the home. That is why treatments call for treating every nook and cranny. They will also travel from room to room via wires, pipes, or just by the fact that they are so small they can fit under baseboards and go right to the next room the same way. The proper treatment of a house would be the bedroom and all rooms on all sides of that bedroom and above and below.
This is also true for apartment units. The entire unit as well as the units on all sides and the units above and below need to be treated. Not doing so will lead to failure in the treatment and a resurgence of these bugs down the road. Bedbugs treatments are expensive and involved, no doubt, but done correctly control can be accomplished with a few thorough visits.
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