It wasn't just "highly influenced" she said the songs are autobiographical.
"Caroline: Bonjour, le titre «10 ans» est-il autobiographique?
Oui, comme d’autres titres sur cet album."
http://www.20minutes.fr/vousintervie...anteuse-alizee
Edit:
On the subject though, I feel awful for her. I haven't seen the translations of the songs, but from what people are saying, Jeremy is basically a deadbeat dad. Not entirely surprising because it's very common, but I was raised by a single mom and I saw how difficult it was for her. I'd never wish that on any woman.
Although some women are just better off without a man. Sad, but true.