Doors and Windows - Patio door draft

We recently noticed that we had a draft coming from the patio door where the stationary and sliding door meet. They are not flush up against each other. We tried to use some weather stripping on it, but because the door slides it does not stay on the door (obviously...the adhesive no longer holds). Does anyone have any suggestions for this? I think something that sticks to the sliding door and has a portion that covers the area where the draft is coming in with the ability to move back and forth when opened would be good (I have a picture of it in my mind), but I haven't been able to find anything like that. Thanks in advance for any advice!

Welcome to the forums! Not knowing the brand of door, the following is generic. Peachtree and other higher end wooden doors come with mating hook weatherstripping that lock into each other when closed to prevent drafts. Others use flocked type stripping attached to the edges of each door, offset so they will meet when closed. You can buy this type readily at the big box stores. It is self adhesive, but you may have to remove the movable door in order to attach it properly.

More efficient doors will have a vinyl strip/bulb that wipes and mates with the opposite door when closed. I assume this is an older door?? Do you know the manufacturer?? If you find a name, check their website. There are generic products that may help with your problem, but as you have found out, they often don't hold up well. Check the weatherstripping section at home stores, or ask at a local lumberyard that sells doors.