Can you identify this plant?

    This is growing as a ground over that I didn't plant all over my backyard here in West Florida. It prefers shade, it requires no additional watering. It has fleshy leaves that feel smooth and shiny and no hairs. I have never seen flowers on it. It sends runners that readily root.
Thanks.
Also it is edible for the rabbits.
-Chrissy
Http://KnottyPots.blogspot.com

Small-leaf Spiderwort (Tradescantia fluminensis)

Usually a potted plant which can be invasive, which may be what you are experiencing.

Wow thank you William! No it's not invasive. It's an edible groundcover that's utilizing empty spaces. Now that I know it's a tradescantia I feel even better about it. I regularly feed spiderwort and Moses in a boat to the rabbits. I may have to bring this smaller variety to other spots to propagate it there instead of having useless ferns.
Awesomeness!
-Chrissy
Http://knottypots.blogspot.com

I'm glad you are able to utilize it in this way. Always easier to work with nature and not fight against it!

We used to feed the kudzu to our rabbits in a similar fashion.

Is that your blog? Very interesting