First Wilson converted Ryan Fraser's teasing cross to restore parity in the 70th minute before Ibe fired home a second having been teed up by the scorer of Bournemouth's first. Get the app to get the game.
Despite dictating much of the early possession Arsenal clearly missed their more illustrious attacking talents with Alexandre Lacazette cutting a lonely figure without the cutting edge of Sanchez and the injured Mesut Ozil.
Last time the sides met at the Vitality Stadium, they had exchanged six goals in a thrilling 3-3 draw with Arsenal roaring back to claim a valuable point but this time the Cherries managed to score a quick-fire double to ease the pressure on beleaguered manager Eddie Howe. Bellerin ran onto an excellently weighted pass from Alex Iwobi to steer the ball into the Bournemouth net.
Four minutes later the hosts found themselves in front.
The win saw Bournemouth climb to thirteenth on the Premier League table with 24 points. Knocked out in the FA Cup third round, out of the top four in the league, and their best player in Sanchez leaving - Wenger has a massive job on his hand if he is to somehow rescue something from this season.
The victory lifted Bournemouth up into 13th place, while Arsenal remain five points adrift of Tottenham Hotspur in sixth.