FIG. 1 is a front perspective view of one embodiment of the catheter stabilization and support device of the present invention;

FIG. 2 is a top view of the catheter stabilization and support device of FIG. 1;

FIG. 3 is a front end view of the catheter stabilization and support device of FIG. 1;

FIG. 4 is a back end view of the catheter stabilization and support device of FIG. 1; and,

FIG. 5 is a side view of the catheter stabilization and support device of FIG. 1.

The broken lines are for illustrative purposes only and do not constitute any part of the claimed design.