Photo: au.ibtimes.com

Justin Bieber and Selena Gomez have broken up.  A source says,  quote, "Because of their crazy schedules, it was getting harder and harder to  maintain a relationship."

But it might not be that simple.  Other sources say it was Selena who  did the dumping around Halloween . . . and it was because of Justin's new  "friendship" with a Victoria's Secret model named Barbara Palvin.

On Thursday night, they went to see "The Lion King"  on Broadway with a group of people.  But afterward, Barbara Tweeted, quote, "hey everyone. please calm down.  he is  all yours!! :)  please :)."

And she later followed up with this Tweet, quote, "There is nothing going on with him.  I  met him and did a pic with him.  Wouldn't you do the same?   #friendship"

The night before, Justin performed at the Victoria's Secret Fashion Show.

And after the show, Barbara Tweeted, quote, "okay sooo because u guys were  askin for it! with ‪@justinbieber ! you were great tonight!"  She added  this photo of  herself with Justin.

A source says Justin was playing the field throughout the fashion show . . .  quote, "He was asking for phone numbers from the girls . . . He was hitting on  [them] all day.”

In an interview on Saturday, Justin seemed a little confused about how things  are going to work out.

When asked about the breakup, he said, quote, "I don't know what to say. I  don't know what's going on in my life. To even assess that, it doesn't make  sense 'cause I have not made any comment."

A source has told TMZ that Justin doesn't want the breakup . . . and he's  confident he and Selena will get back together.