There do seem to be different rules involved when it comes to death and the island. It reminds me of both Donnie Darko and The Invisibles. In Donnie Darko dying in the time loop allowed someone to step out of regular time as Frank the Bunny does. From this new position he is able to effect events. Similar effects are in play in The Invisibles comic series by Grant Morrison.

Hatch 23: Lost and the Supercontext