Investigation of the effect of awareness and treatment on Tuberculosis infection via a novel epidemic model
Ihsan Ullah, Saeed Ahmad, Mostafa Zahri
Abstract
We develop a novel deterministic epidemic model to investigate the effect of treatment ahdrence and awareness on the dynamics of tuberculosis (TB). To derive conditions for the stability of the local as well as the global behaviour of the proposed model, we determine the threshold ratio. Our considered model admits a positive disease endemic state, which shows global asymptotic stability for R0>1. To explore the robustness of the model to the parametric values, we perform sensitivity analysis. We use the normalised forward sensitivity index of a variable in a parameter approach. Finally, to verify the analytical findings, we perform numerical simulations to determine feasible parametric values for the proposed model. Our numerical simulations show that awareness and adherence to treatment play a vital role in the control of TB infection.