A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes

Yimin Du, Jianhong Wu and Jane M. Heffernan

Mathematical Population Studies, 2017, vol. 24, issue 1, 37-63

Abstract: Tuberculosis infection can result in clearance, latent infection, or active disease, with slow or fast progression. A four-dimensional model of in-host tuberculosis infection includes macrophages, T lymphocytes, tuberculosis bacteria, and their interactions. Changes in the infection rate, cell-mediated immunity rate, macrophage loss rate, and bacteria killing rate most affect disease outcomes. Simulations show that a periodic solution can occur. When the infected macrophage killing rate is constant, a backward bifurcation exists and the system is globally stable.

Date: 2017
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DOI: 10.1080/08898480.2015.1054220

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