A method of treating a subject, comprising: (a) diagnosing a subject with bronchiectasis and chronic respiratory bacterial infections, with at least one strain of a bacteria such as Pseudomonas aeruginosa bacteria in an airway sample taken from the subject； (b) administering to the subject over a plurality of days (such as 28 days) by inhalation a formulation comprised of the un-encapsulated and encapsulated antibiotic, such as ciprofloxacin； (c) discontinuing the administering over a plurality of days； (d) repeating the administering over a plurality of days； (e) whereby an antibacterial impact of the formulation on the bacteria is not decreased with each repeating step (d).
