Yandle had one shot on goal in 13:39 of ice time.
"When I saw the guys cheering for me, standing up, and all the fans, it definitely meant a lot," Yandle said. "Your teammates, the guys that you play with, guys that you play against, when they congratulate you and tell you they're proud of you, it hits home. It means a lot. It's definitely a nice thing.
"I tried to keep it as normal as possible, do my same thing, same routine and just worry about the game. I think for me it was just kind of go about my day as normal as possible."
Yandle can pass Jarvis when the Flyers play at the New York Islanders on Tuesday (7:30 p.m. ET; MSG+, NBCSP, ESPN+, NHL LIVE).
"It's a love for the game and having fun," Yandle said Sunday. "At the end of the day, we're playing a game that we all dreamt of playing growing up.
"I remember Ray Whitney said to me when I was young, as long as there's an NHL symbol on your jersey, that means you're having a good day. So I haven't taken that for granted, that we play in the best league in the world with the best guys. It's truly a blessing to put on an NHL uniform every day."
Jarvis had held the record since Dec. 26, 1986, when he played in his 915th consecutive game, passing the mark held by Garry Unger.
"I think this is awesome," Jarvis said. "I wish every player has the ability to play this game and to play it injury-free. ... It's a credit to him and I'm happy he's able to put a career together like this."
Yandle already has the longest consecutive games played streak by a defenseman; Jay Bouwmeester is second at 737 games. Arizona Coyotes forward Phil Kessel has the second-longest active streak at 940 games.
"It's an incredible accomplishment," Flyers coach Mike Yeo said. "You have to love the game and you have to be able to battle through sickness, injuries. A level of professionalism to come the rink every day and be ready to go. And he's a phenomenal teammate and I thought he played a [heck] of a game tonight."
Stars coach Rick Bowness was an assistant with the Coyotes when they selected Yandle in the fourth round (No. 105) of the 2005 NHL Draft and remembers him from his first training camp.
"He's a great skater," Bowness said prior to the game Monday. "Great skaters can usually play longer and they avoid a lot of extra hits because of their skating ability. And Keith clearly has always been a great skater, that's always been his strength. ... He's a great kid, he's had a wonderful career. I had him when he was a rookie and I'm happy for him. Hope he keeps it going."