DOAJ Open Access 2023

Analysis of a simple mathematical model describing tuberculous granuloma

Yuqi Jin Hui Cao Xiaxia Xu

Abstrak

This paper discusses a mathematical model describing the formation of tuberculosis(TB) granulomas. The main purpose is to analyze the change trend of Mtb and immune cells in different stages after Mtb invaded the host. The theoretical analysis indicates that the existence and global stability of bacteria-free equilibrium and bacteria-present equilibrium under different conditions. In addition, the sensitivity analysis is performed on the parameters, which determines the parameters that have the greatest impact on Mtb invading the host. The stage of no infection, the latent TB infection(LTBIs) and active TB corresponding to the clearance, survival or growth and reproduction of Mtb are displayed by the numerical simulations. The results suggest that whether the individuals infected with Mtb will be progressed to the active TB depends on the immune system of individuals.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (3)

Yuqi Jin

Hui Cao

Xiaxia Xu

Format Sitasi

APA MLA BibTeX

Jin, Y., Cao, H., Xu, X. (2023). Analysis of a simple mathematical model describing tuberculous granuloma. https://doi.org/10.5206/mase/16678

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.5206/mase/16678
Akses: Open Access ✓