There is no single product on the market that is an exact replica of the Dyson Airwrap. However, there are a few alternative products that come close.
The Glamfields Air Styler is a good option if you're looking for a similar product at a fraction of the price. It comes with a variety of attachments and can be used on wet or dry hair.
The Revlon One-Step Hair Dryer and Volumizer is another alternative that is more affordable than the Dyson Airwrap. It can be used on all hair types and comes with a variety of heat and speed settings.
If you're willing to spend a bit more, the BaBylissPro Nano Titanium Rotating Hot Air Brush is a high-end option that gives you the ability to style your hair with both heat and speed settings.