Sensitivity analysis and random dynamics for a mathematical model of tuberculosis transmission

Abstract

In this study, a recent mathematical model for the spread of tuberculosis disease will be analyzed under random conditions. The sensitivity of the basic reproduction number to the changes in the parameters will be analyzed using the forward normalized sensitivity index. Additionally, random disease transmission dynamics will be analyzed by using simulations of the random differential equation system. Random behavior of disease transmission such as expected compartment sizes and coefficients of variations will be investigated to comment on the randomness of the spread.