A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Du, Yimin; Wu, Jianhong; Heffernan, Jane M.
• Is Part Of: Mathematical population studies. Volume 24:Issue 1(2017)
• Page Start: 37
• Page End: 63
• Publication Date: 2017-01-02
• Subjects: active disease -- clearance -- latency -- Latin Hypercube Sampling -- tuberculosis; Demography -- Mathematical models -- Periodicals; Demography -- Mathematics -- Periodicals; 304.60724
• DOI: 10.1080/08898480.2015.1054220
• Languages: English
• ISSNs: 0889-8480

Abstract

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.