A Mathematical Model of Indoor Air Pollution and Its Effects on Human Respiratory Health

Indoor air quality (IAQ) refers to the quality of air within and around buildings and structures, which is known to affect the comfort and well-being of the building occupants. Research on the urban population has confirmed that people spend more than 90% of their daily life span in indoor environments. This study aims to formulate a mathematical model that can help study indoor air quality dynamics and its impact on the human respiratory system. The formulated seven linear differential equations of first order were found to be uniform and asymptotically stable and the model has a unique solution using the Picard – Lindelof Method. Numerical simulations were carried out to study the effect of indoor pollutants on the human respiratory system and the results were graphed. The results indicate that this model can be used to study the effect of indoor pollutants on the human respiratory system perfectly and hence recommended.