Kyle Rowe went over for his third try of the season

The win sees Glasgow go a point ahead of Leinster at the top of the URC table.

Ulster started the game in fine style and tries from Tom Stewart and John Cooney put the Irish side 14-0 up, but Sean Kennedy and George Turner crossed for Warriors to send the teams in level at the break.

Kyle Rowe scored in the corner to give Glasgow the lead for the first time before a Johnny Matthews double secured the bonus-point win, with Ulster's only points of the second half coming from the boot of Cooney and Doak.

Ulster started impressively and opened their account when Stewart peeled off the right-hand side and forced his way over.

Cooney doubled Ulster's lead off the back of a penalty to touch before finishing from close range, but the away side lost Billy Burns when he failed a head injury assessment.

With the loss of Burns, Ulster lost much of their early impetus allowing Warriors to click into gear. Scrum-half Kennedy celebrated his first home start in front of fans for more than a decade by finishing off from close in before Tom Jordan converted the first of his four successful kicks.

Double World Cup winner Steven Kitshoff came on for his Ulster debut 10 minutes into the second half, but before the prop could get involved the Warriors took the lead when Josh McKay made the visitor's defence bite in and found Rowe in just enough space for him to go in at the left-hand corner.

Referee Ben Whitehouse sent Kieran Treadwell to the sin bin for an offence in the build-up.

A fine Cooney penalty narrowed the gap to two points, but just before the hour mark Matthews came off the bench and got on the end of a well-worked passing move to race over to secure the bonus-point score for the home side.

Jordan's conversion made it a nine-point lead, and although a Nathan Doak penalty cut it to six with 15 minutes to play, Matthews then got his second try after sustained pressure and Jordan added the extras.

Warriors now face a trip to Munster next weekend to take on the defending URC Champions.

Post-match, Glasgow head coach Franco Smith told Viaplay: "We ended up having a lot of deficits in the first half.

"It is good to get a reward. Character in the team is everything. Credit to the coaches and the boys.

"I don't like mentioning players but I think Johnny Matthews did well, he brings a lot to the squad."

Glasgow centre Sione Tuipulotu was named player of the match:

"We kind of messed up the first 20 minutes of the game, but that was good to go through," he told Viaplay.

"We managed to fight back, so I'm proud of the boys. We thought they fired their shots early and felt we could wrestle back momentum.

"I feel like we've got some of the best back rowers in the comp ad the pressure they put on the breakdown puts massive pressure on the opposition.

"Massive challenge away next week against last year's champions, but we'll go to the drawing board, and the win is encouraging."