Tuberculosis with contamination by the consumption of unpasteurized dairy products: mathematical modelling and numerical simulations

Abstract

In this article, we present a mathematical model of transmission tuberculosis which takes account the contamination by consuming unpasteurised dairy products. We have determined the equilibrium points, whose local stability is guaranteed by Lyapunov’s indirect method using the Routh-Hurwitz stability criterion. The results obtained show that, even if there are no bacteria in the environment, the probability of infection with tuberculosis remains high, and this is due to the consumption of unpasteurised dairy products. Finally, we introduce some numerical simulations graphics to validate our results.