An intraluminal device and method of fixation of an intraluminal device in a mammalian lumen or hollow organ that experiences peristalsis includes a fixation system that is adapted to resist distal migration of the intraluminal device in the lumen or hollow organ. The intraluminal device has a wall surface configured to the size and shape of a mammalian lumen or hollow organ. A fixation system is adapted to resist distal migration of the body in the lumen or hollow organ. The fixation system includes a bio-absorbable material around at least one of the elongated members.