@Article{JNMA-6-3,
author = {Yuqi, Jin and Hui, Cao},
title = {A Mathematical Model of in-Host Tuberculous Granuloma},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {793--811},
abstract = {<p style="text-align: justify;">Tuberculosis is the second biggest infectious disease killer after
coronavirus. In this paper, we analyze a mathematical model of in-host tuberculous granuloma, obtaining the basic reproduction number, as well as the
existence and stability of equilibrium points. The sensitivity analysis provides
parameters that have a significant effect on model dynamics. Finally, changes
in the number of immune cells, infected macrophages and Mycobacterium tuberculosis are analyzed by numerical simulation of three disease states: clearance, latent infection and active tuberculosis. The results suggest that the
immune mechanism determing whether an infected individual will suffer from
active or latent tuberculosis is the ability of activated infected macrophages
to kill Mycobacterium tuberculosis.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.793},
url = {https://global-sci.com/article/91182/a-mathematical-model-of-in-host-tuberculous-granuloma}
}