Volume 6, Issue 3
A Mathematical Model of in-Host Tuberculous Granuloma

Yuqi Jin & Hui Cao

J. Nonl. Mod. Anal., 6 (2024), pp. 793-811.

Published online: 2024-08

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  • Abstract

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.

  • AMS Subject Headings

37N25, 92D30

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COPYRIGHT: © Global Science Press

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@Article{JNMA-6-793, author = {Jin , Yuqi and Cao , Hui}, 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 = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.793}, url = {http://global-sci.org/intro/article_detail/jnma/23363.html} }
TY - JOUR T1 - A Mathematical Model of in-Host Tuberculous Granuloma AU - Jin , Yuqi AU - Cao , Hui JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 793 EP - 811 PY - 2024 DA - 2024/08 SN - 6 DO - http://doi.org/10.12150/jnma.2024.793 UR - https://global-sci.org/intro/article_detail/jnma/23363.html KW - Tuberculous granuloma, immune cell, the sensitivity analysis, stability. AB -

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.

Yuqi Jin & Hui Cao. (2024). A Mathematical Model of in-Host Tuberculous Granuloma. Journal of Nonlinear Modeling and Analysis. 6 (3). 793-811. doi:10.12150/jnma.2024.793
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