factory fitted immobilixer ?

Hey Guys, Having a problem with fuel supply and wonder if anyone knows if the factory fitted t2.5 immobilizer cuts fuel supply and or fuel injectors ?

 Starts and runs sweet if you add fuel to the plenum so spak and cranking work fine.

Do not have the remote locking control unit and read somewhere it deactivates the immobilizer. Has a little engine icon with two little lights on the top rhs dash but lights don't come on or flash and it looks like original fit..

Checked the book could not find a section on immobiliser.

Thanks in advance and Merry Christmas ALL..............Pete SEQ