It often means that our respiratory system does not work very well. Other times indicates that we will succeed in a delicate situation. To dream of an asphyxiated person announces a problem with a loved one.
Dream dictionary: Choking, Asthma dream meanings
If you dream that you are suffering from asthma or choking and/or have some difficulties with breathing and/or to breath then the dream indicates unsafe surroundings and changeability. This dream wants to show you that you feel the tense and stress around you. You are not able to concentrate on important things and feel out of control.