British referendum votes to leave the EU – is the EU in danger of being torn apart?

Brexit cartoon - EU flag torn apart

Is the EU in danger of splitting up now that Britain has voted to leave (Brexit) in its referendum?

The cartoon shows an EU flag being torn apart as one of the stars leaves the circle of member nations.
Will the EU fall apart?
Will other member nations vote to leave, especially if they elect nationalist right wing governments?

Ref a743
How to obtain license to use cartoon
How to search for cartoons by subject
cartoon copyright matters