Brett Pitman scored for the sixth game in a row while in-form Matt Ritchie scored twice as the Cherries maintained their grip on second place.
County were dealt a major blow on the stroke of half-time when Andre Boucad was sent off after picking up a second booking for a trip on Harry Arter.
The win lifted Bournemouth five points clear of third-placed Yeovil, but Brentford and Sheffield United both have games in hand on the south-coast outfit.
Howe said: "I am really pleased that we've come from behind and won. It's not something we've done particularly well this season.
"Going behind so early was a real test for us. We scored at really good times and scored some great goals.
"Coming from behind and winning is a great confidence booster for us going into the remaining three games.
"I still put the other teams as favourites. They have the games in hand, they are the masters of their own destiny and we're still reliant on them. They're in the box seat. We've just got to keep winning if we can."