Systems and methods for reducing pulmonary inflammation and/or increasing bronchial compliance in a patient utilize transcutaneous stimulation of neural structures in a region of an ear of a patient delivered by an auricular stimulation device having an in-ear component with a first electrode disposed in a patient's ear and an earpiece component with a second electrode placed around the auricle. A pulse generator may control delivery of therapy by delivering both a first series of stimulation pulses to the first electrode for stimulating a first neural structure(s) and a second series of stimulation pulses to the second electrode for stimulating second neural structure(s). The first and second electrodes are in non-piercing contact with tissue on and/or surrounding the ear. The systems and methods may be used to treat viral or bacteria infections, such as SARS, MERS, or COVID-19.