You seem to be confusing Mimi and Lisa a bit here.
Mimi was not interested in Travis in that way.
Lisa and Travis broke up due to Jodi.
Thanks. I was just coming to change I'm sure to I think. However, as Sula pointed out, it looks like Travis was still interested even if Mimi wasn't. And I'm sure SOME GIRL he was seeing said he was persistent. lol So I don't think we can rule out his ongoing romantic interest in Mimi.