Hi Vicki, welcome to our community. Your dendrobium will have much more strength if you remove the keiki that have roots and pot them up. As long as your 'mother' plant has good roots, it will continue to bloom and grow. Some dendrobiums seem to throw off keikis left and right. I have one that I wish would keiki so that I could send the baby plant to a friend here, but the darn thing just won't do it. Never has.
If you can, post up a photo of your den. with the keikis and let our group take a look. They will probably have lots of advice to offer.