Crystal Palace manager Roy Hodgson told Match of the Day: "It was a great victory. I'm full of praise for what the players did today. To firstly lose your centre-back to a challenge which the referee deems to be a red card, and then to lose a left-back in an area where we have no cover...
"The last place we could really cover injuries was at the back, but we did and I thought the players showed an outstanding attitude at the back.
"Normally when you win 1-0 with 10 men you think you were lucky, but that wasn't really the case and we had a few chances of our own so I'm delighted for the players."
Bournemouth manager Eddie Howe told Match of the Day: "It is a tough one for us to take. We needed to get something from tonight's game and we are hugely disappointed we haven't.
"We didn't do enough with the ball and we didn't hurt them enough. Credit to them for how they defended in their shape. We should be able to do better and I have to take responsibility for that.
"When you're in this form, it is a tough one to work out, we could have won all of these games but we have lost them narrowly."