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Modeling basic aspects of bacterial resistance of Mycobacterium tuberculosis to antibiotics

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Abstract

In this work we study the effect of antibiotics treatment and the immune system in the development of Mycobacterium tuberculosis infection through the formulation and analysis of a nonlinear system of ordinary differential equations. The results are given in terms of forward and backward bifurcation and they reveal the importance of combining a suitable treatment with a good stimulation of the immune system.

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Acknowledgements

L. Esteva was supported by Grant IN113716 from PAPIIT-UNAM. E. Ibarguen acknowledges support from Project No. 182-01/11/2016 (VIPRI-UDENAR).

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510, México, DF, México

    L. Esteva

  2. Departamento de Matemáticas y Estadística, Universidad de Nariño, Clle 18 - Cra 50, Pasto, Colombia

    E. Ibargüen-Mondragón

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  1. L. Esteva
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  2. E. Ibargüen-Mondragón
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Correspondence to L. Esteva.

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This article belongs to the Special Issue: Demographic and temporal heterogeneity in infectious disease epidemiology.

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Esteva, L., Ibargüen-Mondragón, E. Modeling basic aspects of bacterial resistance of Mycobacterium tuberculosis to antibiotics. Ricerche mat 67, 69–88 (2018). https://doi.org/10.1007/s11587-017-0347-7

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  • DOI: https://doi.org/10.1007/s11587-017-0347-7

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