Edinburgh, with tries from wingers Tim Visser and Mark Robertson enjoyed a 14-11 interval advantage.
Their pressure was rewarded when Dutchman Visser broke through for his eighth try of the league campaign.
Winger Visser then ran in three second-half tries as the home side pulled away from the visitors.
Injuries to Duncan Jones, Bowe and Byrne disrupted the charge and Tim Visser's try gave the visitors hope.
However, Cairns finally broke the deadlock, going over after a one-two with Visser drew two defenders with David Blair converting.
Edinburgh replied with a Tim Visser try and Chris Paterson's conversion, but Ian Humphreys' penalty kept Ulster in control at half-time.
"Maliki and his Dawa party are big winners everywhere and particularly so in the big cities of Basra and Baghdad, " Visser said.
CNN: Iraqi leader's coalition appears to win big in elections
Ben Cairns opened the scoring after being set up by the impressive Tim Visser, who came on for the injured Simon Webster.
Visser then took possession of the ball on his 10-metre line on the right wing before he kicked long and chased the ball over.
Cairns and Visser reversed roles for the first as Cairns broke from deep before passing to Dutchman Visser running in from the left to score.
Visser's counterpart on the other wing, Mark Robertson then ran in a try from his own half, with replacement Phil Godman kicking over all but one conversion.
Visser, who had started ahead of Andrew Turnbull, powered his way through a couple of tackles to cross the line and Paterson made no mistake with his kick.
Declan Danaher's try and a Peter Hewat penalty put Irish on top at the break with Danaher adding another before John Rudd set up Tim Visser to score.
Regulations for such deals were very strict, contemplates Friso Visser.
FORBES: Angola Invests in Fight Against Illegal Fishing in Coastal Waters
However, Reidar Visser, a Norwegian who has mastered the mathematical minutiae of Iraqi electoral politics, calculates that Mr Maliki might narrow the gap in parliament by only a seat.
ECONOMIST: Iraq still adrift: The politicians wrangle as the nerves of the people jangle | The
With the last move of the half Mike Blair quickly spun the scrum ball to the left wing where Visser hurdled over a poor Williams tackle for a converted score.
But Visser said al-Maliki's victory has implications for national Iraqi politics because of the power that the Islamic Supreme Council of Iraq and the Kurdish Alliance have wielded in Iraq's parliament.
CNN: Iraqi leader's coalition appears to win big in elections
Visser only came on after Webster came off after 15 minutes with a rib complaint, but team-mate Craig Hamilton had more to worry about after requiring hospital treatment following a second-half head injury.
Again, though, Edinburgh rallied and Scott MacLeod fed Visser after the hosts launched a sweeping attack from right to left, and the Dutchman slalomed past Tommy Bowe and Rhys Webb for a superb try.
Mostly it was a matter of customers with nondrinking spouses or who wanted to drink a modest amount, said Mr. Visser, though he recalled one man who confessed it was simply "too dangerous" to buy a full bottle because he'd end up drinking the whole thing himself.
WSJ: Half-Bottles of Wine: Half Full or Half Empty? | On Wine by Lettie Teague
应用推荐