Jordan Rhodes scored twice to take his tally for the campaign to eight in nine matches as Blackburn surged into a 3-0 half-time lead and then held off Bournemouth's second-half rally.
The Cherries had substitute Richard Hughes sent off for two bookable offences in four second-half minutes but rallied to score a late consolation through Ryan Fraser.
Howe questioned the mentality of his team after the opening goal, and judged it a match they need to consign to history smartly.
He said: "We were beaten by the better team and on occasions like this you have to hold your hand up and admit it.
"They have some clinical players who showed in the final third how dangerous they can be. We were not at our best in the first half and it would be easy to feel sorry for ourselves, but we have an important game at Leeds on Tuesday and have to put it behind us.
"We can do a lot better than that. We lost our belief when we went behind, which is strange for us, but in the second half that was more like the Bournemouth team I have been used to watching.
"Blackburn were excellent, but what pleases me is that we had a right go in the second half and scored a great goal.
"What was frustrating was that by then we were down to 10 men and left ourselves with far too much to do."
"Richard Hughes should not have received his yellow card for the first offence, I thought the referee had a poor game.
"But I think Richard will regret his challenge for his second card and left us in a vulnerable position."
- Sports & Recreation