Dryrot is actually a fungus that's caused by moisture. You need to first find the source of moisture to stop the rot from continueing. You also need to ventilate the area to provide air flow. I would guess that you have either a damp basement under this floor or a crawl space. Running a dehumidifier below will help rid the moisture that's seeping into your floors, also the ground around the foundatin perimeter should be sloped away from the house. If you do have a crawl space then the dirt floor should have a plastic moisture barrier covering it.
Depending on how bad the boards are you may need to replace them. If you can polk a screwdriver into the wood and it's spongy and really soft then I would rip it out and install new, There is a wood hardener made by minwax that can be brushed onto the wood to strengthen the fibers, it may help in your situation depending on how deep the rot is. If the wood is spongy and soft only on the surface, but I'd guess you need to look from beneath to know the extent of the damage. Here's a few links for you to give you details on dryrot and it's prevention. Hope this helps.
http://www.buildingconservation.com/...es/rot/rot.htm
http://allsands.com/Gardening/wooddryrot_wtu_gn.htm