Asphyxiation dream meaning is explained below using 2 different sources. Each interpretation is shown with its source.

Interpretation 1 — Silvana Amar

Signs of asthma see a doctor. What or who is trying to smother you? Repatterning called for. 
Source: The Bedside Dream Dictionary Author: Silvana Amar

Interpretation 2 — Stearn Robinson - Tom Corbett

A dream of physical origin, possibly due to asthma; see your doctor
Source: The Complete Guide to Interpreting Your Dreams Author: Stearn Robinson - Tom Corbett