A TB model: Is disease eradication possible in India?

Tuberculosis (TB) is returning to be a worldwide global public health threat. It is estimated that 9.6 million cases occurred in 2014, of which just two-thirds notified to public health authorities. The 'missing cases' constitute a severe challenge for TB transmission control. TB is a seve...

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Main Authors: Surabhi Pandey, Ezio Venturino
Format: Article
Language:English
Published: AIMS Press 2018-01-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2018010
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author Surabhi Pandey
Ezio Venturino
author_facet Surabhi Pandey
Ezio Venturino
author_sort Surabhi Pandey
collection DOAJ
description Tuberculosis (TB) is returning to be a worldwide global public health threat. It is estimated that 9.6 million cases occurred in 2014, of which just two-thirds notified to public health authorities. The 'missing cases' constitute a severe challenge for TB transmission control. TB is a severe disease in India, while, worldwide, the WHO estimates that one third of the entire world population is infected.Nowadays, incidence estimation relies increasingly more on notifications of new cases from routine surveillance. There is an urgent need for better estimates of the load of TB, in high-burden settings. We developed a simple model of TB transmission dynamics, using a dynamical system model, consisting of six classes of individuals. It contains the current medical epidemiologists' understanding of the spread of the Mycobacterium tuberculosis in humans, which is substantiated by field observations at the district level in India. The model incorporates the treatment options provided by the public and private sectors in India. Mathematically, an interesting feature of the system is that it exhibits a backward, or subcritical, bifurcation.One of the results of the investigation shows that the discrepancy between the diagnosis rates of the public and private sector does not seem to be the cause of the endemicity of the disease, and, unfortunately, even if they reached 100% of correct diagnosis, this would not be enough to achieve disease eradication.Several other approaches have been attempted on the basis of this model to indicate possible strategies that may lead to disease eradication, but the rather sad conclusion is that they unfortunately do not appear viable in practice.
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spelling doaj-art-4365ecf252cc4d1db87021e0bb3994092025-01-24T02:40:37ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-01-0115123325410.3934/mbe.2018010A TB model: Is disease eradication possible in India?Surabhi Pandey0Ezio Venturino1Public Health Foundation of India, Plot No. 47, Sector-44, Gurgaon-122002, Haryana, IndiaDipartimento di Matematica "Giuseppe Peano", Università di Torino, via Carlo Alberto 10, 10123 Torino, ItalyTuberculosis (TB) is returning to be a worldwide global public health threat. It is estimated that 9.6 million cases occurred in 2014, of which just two-thirds notified to public health authorities. The 'missing cases' constitute a severe challenge for TB transmission control. TB is a severe disease in India, while, worldwide, the WHO estimates that one third of the entire world population is infected.Nowadays, incidence estimation relies increasingly more on notifications of new cases from routine surveillance. There is an urgent need for better estimates of the load of TB, in high-burden settings. We developed a simple model of TB transmission dynamics, using a dynamical system model, consisting of six classes of individuals. It contains the current medical epidemiologists' understanding of the spread of the Mycobacterium tuberculosis in humans, which is substantiated by field observations at the district level in India. The model incorporates the treatment options provided by the public and private sectors in India. Mathematically, an interesting feature of the system is that it exhibits a backward, or subcritical, bifurcation.One of the results of the investigation shows that the discrepancy between the diagnosis rates of the public and private sector does not seem to be the cause of the endemicity of the disease, and, unfortunately, even if they reached 100% of correct diagnosis, this would not be enough to achieve disease eradication.Several other approaches have been attempted on the basis of this model to indicate possible strategies that may lead to disease eradication, but the rather sad conclusion is that they unfortunately do not appear viable in practice.https://www.aimspress.com/article/doi/10.3934/mbe.2018010disease latencybasic reproduction numberpublic hospitalizationprivate hospitalizationbackward bifurcationsubcritical bifurcation
spellingShingle Surabhi Pandey
Ezio Venturino
A TB model: Is disease eradication possible in India?
Mathematical Biosciences and Engineering
disease latency
basic reproduction number
public hospitalization
private hospitalization
backward bifurcation
subcritical bifurcation
title A TB model: Is disease eradication possible in India?
title_full A TB model: Is disease eradication possible in India?
title_fullStr A TB model: Is disease eradication possible in India?
title_full_unstemmed A TB model: Is disease eradication possible in India?
title_short A TB model: Is disease eradication possible in India?
title_sort tb model is disease eradication possible in india
topic disease latency
basic reproduction number
public hospitalization
private hospitalization
backward bifurcation
subcritical bifurcation
url https://www.aimspress.com/article/doi/10.3934/mbe.2018010
work_keys_str_mv AT surabhipandey atbmodelisdiseaseeradicationpossibleinindia
AT ezioventurino atbmodelisdiseaseeradicationpossibleinindia
AT surabhipandey tbmodelisdiseaseeradicationpossibleinindia
AT ezioventurino tbmodelisdiseaseeradicationpossibleinindia