Cam Ward turned aside 29-of-31 shots for the Hurricanes, who pulled to within a single point of the New York Rangers for the eighth and final Eastern Conference playoff spot with five games to play.
Trailing 2-1 entering the final frame, Corvo notched the equalizer 3 minutes into the period and Erik Cole put the Hurricanes ahead only 3 minutes later, scoring off assists from Eric Staal and Corvo.
Staal added an empty-netter for Carolina.
Jesse Joensuu and John Tavares found the net and Al Montoya made 22 saves for the Islanders.
Swim Week Miami Beach 2014 [PHOTOS]