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.
- Published
- 22 March 2023
- Volume
- 2023 (2023)
- License
- CC BY 3.0
Copyright © 2023 Rizlane Zahli, Nadia Idrissi Fatmi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Zahli, N. Idrissi Fatmi, Tuberculosis with contamination by the consumption of unpasteurized dairy products: mathematical modelling and numerical simulations, Commun. Math. Biol. Neurosci. 2023 (2023), 31. https://doi.org/10.28919/cmbn/7895
BibTeX
@article{Zahli2023,
author = {Zahli, Rizlane and Idrissi Fatmi, Nadia},
title = {Tuberculosis with contamination by the consumption of unpasteurized dairy products: mathematical modelling and numerical simulations},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2023},
year = {2023},
pages = {31},
doi = {10.28919/cmbn/7895}
}