Immobilize vs Stabilize - What's the difference?

As verbs the difference between immobilize and stabilize

is that immobilize is to render motionless; to stop moving or stop from moving while stabilize is to make stable.

* immobilise

(en-verb)

To render motionless; to stop moving or stop from moving.

It is best to immobilize the injury until a doctor can examine it.

* stabilise (UK)

(stabiliz)

To make stable.

Jody stabilized the table by putting a book under the short leg.

To become stable.

The country will stabilize after the next election ends.