A stabilized catheter tube for insertion into a body of a patient. The catheter tube includes a distal portion that remains stable during fluid infusion into the patient, thus reducing or eliminating whipping of the catheter distal tip. In one embodiment, the catheter tube defines at least one lumen and is formed from a tube material that defines a proximal portion and a distal portion of the catheter tube. The catheter tube is configured such that the arithmetic product of an elastic modulus and an area moment of inertia for the distal portion of the catheter tube is greater relative the arithmetic product of an elastic modulus and an area moment of inertia for the proximal portion of the tube. In one embodiment, the catheter tube is operably attached to an implantable access port and includes an enlarged distal portion relative a proximal portion of the catheter tube.