Disclosed are ophthalmic drug-delivery devices, comprising a body having a proximal end and a distal end, wherein the body includes a styrene elastomer matrix and a drug in contact with the matrix. Also disclosed are methods of treating or preventing an eye disease in a subject, that involve contacting an eye of the subject with an ophthalmic drug delivery device comprising a body having a proximal end and a distal end, wherein the body comprises a styrene elastomer matrix and a drug in contact with the matrix, wherein release of the drug from the device occurs over time following contacting of the device with the eye of the subject.