I do not know what would be a "direct" replacement for your LED strip, but I will recommend these:
WHITE LED Awning Party Light w/Mounting Channel & White PCB 12v Light . I have to replace my awning due to it being damaged and I removed the crappy LED strip that came with the awning. I think they only all worked on our first trip and some many were out we no longer used them. I installed the strip I linked to, in the 20 foot version. (They come in 12', 16', 20' and 25' lengths. The kit came with 5 four foot channels that install via 3M adhesive strips and then the LED strip snaps right in to the channel. Wiring is just a red and black tied to the wires for the old LED strip. I just did this the other day, so I cannot comment on the life of these strips, but I can say the construction is far better looking than the originals.