Sensitivity analysis of the model of tuberculosis

Abstract

In this contribution, a sufficiently simple, yet realistic model of TB propagation and control is studied in detail. We compute the controlled basic reproduction number R 0( u B, u D) for the extended model including the action of two types of controls and analyze the sensitivity of R 0( u B, u D) with respect to both controls following the recently devised approach. It is shown that the computed sensitivity coefficients admit a clear epidemiological interpretation and can be used in assessing the efficacy of the respective types of intervention.