Hector Bellerin gave Arsenal the lead in the second half, before a four minute double from the Cherries gave them the win.
Arsenal's Jack Wilshere, right, is tackled by Bournemouth's Steve Cook during the English Premier League soccer match against Bournemouth at the Vitality Stadium, Bournemouth, England, Sunday Jan. 14, 2018.
It was Ibe's first league goal for Bournemouth.
Canadiens' Danault leaves on stretcher after taking Chara slap shot to head
The game was halted for intermission after Danault was injured, and the extra 1:37 was added to the start of the third period. Chara, who has one of the hardest shots in the National Hockey League , looked on in concern as trainers attended to Danault.
Danny Welbeck, Shkodran Mustafi and Maitland Niles all came close to breaking the deadlock in the first half but Bournemouth remained compact at the back.
It was a selection that displayed the alarming lack of quality available to Arsene Wenger - who was also missing Mesut Ozil through injury - meaning the Gunners' boss was forced to field an XI which from the outset looked as though it would struggle for goals - and indeed that was the case. Bellerin ran onto an excellently weighted pass from Alex Iwobi to steer the ball into the Bournemouth net.
Arsenal are now without a single win in their last four matches, drawing three and losing one.
For Arsenal, their season is falling away without a trace.
Despite the defeat, Arsenal remain sixth in the EPL table with 39 points from 23 games while Bournemouth moved up to 13th with 24 points from 23 games.