A drug delivery device which includes a fluid drug reservoir, a catheter, a controllable fluid transfer device, e.g., a pump mechanism or valve, and a drug delivery control means. The drug delivery control means comprises a controller, e.g., a microprocessor or microcontroller which is operable to automatically reduce the rate of drug delivery over a certain reduction interval (e.g., multiple days) from an initial dosage value to a final dosage value.
