Tuberculosis and HIV/AIDS co-dynamics: a mathematical model and sensitivity analysis

Rizlane Zahli, Khadija Zeroual, Nadia Idrissi Fatmi

Abstract


The study’s aim is to investigate the role of treatment at any stage of infection in reducing the expansion of both Tuberculosis and HIV infection in the community. For this, we formulate and analyze a new non-linear compartmental system to study the dynamic of the diseases. The results indicate that the endemic equilibrium point for sub-models is locally and globally asymptotically stable whenever the basic reproduction number is over than 1 and unstable otherwise. A sensitivity analysis is performed in order to discover the parameters having an important impact on the reproduction number. Finally, the effect of variable transmission probalities, treatment rates, and the stability of the co-infection endemic equilibrium point are indicated through a numerical simulation of the full model via MATLAB.

Full Text: PDF

Published: 2024-03-25

How to Cite this Article:

Rizlane Zahli, Khadija Zeroual, Nadia Idrissi Fatmi, Tuberculosis and HIV/AIDS co-dynamics: a mathematical model and sensitivity analysis, Commun. Math. Biol. Neurosci., 2024 (2024), Article ID 40

Copyright © 2024 Rizlane Zahli, Khadija Zeroual, 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.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: [email protected]

 

Copyright ©2024 CMBN