The main objective of this book 'Design and Analysis of the Mathematical Model for Human Respiratory System's is to provide a method for identification of the changes in human respiratory system in order to allow for an instantaneous diagnosis of the disease such as asthma by the medical staff. The present work provides a methodology for auto regressive exogenous (ARX) modelling of human respiratory system for determining proper model structure and thereafter model parameters. Estimated model parameters will reflect the dynamic changes in respiratory system so the differences between normal and disease person can be detected using this mode