It would take some home cooking for the Bolts to initially solve Dostal, with Nick Paul getting a bounce off Simon Benoit's stick check. The versatile checking line forward collected an Anaheim clearing attempt at center ice, racing back into the zone and firing a shot that tipped off Benoit as he knelt down for a block, changing course past Dostal for the game's first goal.
The goal, Paul's 17th of the season and first since Jan. 16, marked a new career-high for the former fourth-round pick.
The ice breaker seemed to give the Lightning some life, as they controlled the bulk of the second period territorially, outscoring the Ducks 4-0 and finishing the frame with an 22-1 edge in shots.
A power-play marker doubled the advantage two minutes after Paul's goal, with Ross Colton hammering a one-timer from the right circle past Dostal to the short side.
Mikhail Sergachev grabbed the primary assist, moving within one of Pavel Kubina for third-most by a defenseman in Lightning franchise history.
Cirelli pushed the lead to three on the next shift, Tampa's third goal in less than four minutes. Perbix activated down from the right point, drawing the attention of the Ducks defense before delivering a centering pass to Cirelli just outside the crease, where he beat the sliding Dostal with a move to the backhand.
Cirelli has seven points in his last six games (4-3=7).
With three assists on the night, Perbix logged his fifth career multi-point game and became the first Lightning rookie blueliner with two three-point performances. The 24-year-old recorded his first career NHL point in October at Honda Center.
Zach Bogosian capped Tampa's four-goal period on a blast from the point, using the screen of a Ducks defender to bury his shot just between Dostal's right leg pad and the post. The goal was Bogosian's first of the season.
Tampa Bay is the only NHL team to average more than four goals per game on home ice, scoring at four or more in 20 of their 28 home games so far.
Vasilveskiy made a terrific stop late in the frame for his only save of the period, flashing the glove on Zegras on a wide-open chance in the slot.