What does a dry cough with croup on inspiration in allergic rhinitis mean?

“Consider the possibility of bronchial asthma.
Patients with bronchial asthma tend to have a significant history of allergic reactions to a variety of allergens, which is consistent with this patient having “allergic rhinitis”. Patients with a previous history of allergies presenting with frequent coughing and diffuse croup are likely to have bronchial asthma and should be seen promptly for further investigations to clarify the diagnosis.”