
Allergic asthma is a type of asthma that is triggered by certain allergens (e.g. pollen).
Allergy is a hypersensitivity of the organism to a certain substance. Allergy can manifest with various skin rashes, sneezing, swelling around the eyes etc. However, it can also manifest in the form of anaphylactic shock, which can potentially cause death.
Acute bronchitis is a disease in which the bronchi are inflamed. The bronchi are "tubes" in the lungs through which air moves during breathing. The most common causes of acute bronchitis are viruses. Patients with acute bronchitis usually cough.
Afebrile means that you have a normal body temperature or that it is not elevated. Simply put: you are afebrile when you do not have a fever.
Acyanotic means that someone is not cyanotic. Cyanosis, however, is a condition in which there is not enough oxygen in the blood. Cyanosis can manifest, for example, with bluish lips.