A stent system is provided that includes a stent and a migration-prevention bridle extending from the stent and secured to a portion of the body so as to resist or prevent movement of the stent relative to the portion of the body. Methods of use include positioning a stent that includes a one-way valve in an unexpanded orientation in an passageway of a patient, expanding the stent after being located adjacent an esophageal perforation such that the one-way valve controls the flow of material through the esophageal passageway, and extending a migration-prevention bridle into the esophageal passageway and securing it to the stent. A second portion of the migration-prevention bridle is then secured to a body part of the patient to help resist or prevent migration of the stent. Additional methods, systems, stent apparatuses, and a kit including a stent and instructions for the use of same are also provided.
