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Mathematical modeling and dynamics of tuberculosis infection among diabetic patients in India

Mathematical modeling and dynamics of tuberculosis infection among diabetic patients in India Diabetes is chronic, noncommunicable disease, affecting a large population, specially in asian countries like India and China. Tuberculosis is also a major threat to health worldwide. It has been reported that diabetes increases the risk of tuberculosis infection threefold and thus creating a joint epidemic. Therefore, in this article, we study the association of diabetes with tuberculosis infection through a Mathematical modeling approach. We have taken published data of diabetic people having tuberculosis infections from six DM clinics of Indian territory hospitals. For parameters, we have taken previously standarized published values. We have expressed the model with the help of differential equations. Further, we study the stability of the critical points for diabetes with tuberculosis infection. Finally, we perform some numerical experiments using fourth order Adams–Bashforth–Moulton predictor corrector method to improve some existing results. This study highlights that tuberculosis infections among diabetic people are higher. It also shows the pattern of tuberculosis infection among diabetic people. By finding stable point of these diseases outbreak, it gives us the insight about the preventive measures to control this joint epidemic in a better way. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Mathematical modeling and dynamics of tuberculosis infection among diabetic patients in India

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0086-5
Publisher site
See Article on Publisher Site

Abstract

Diabetes is chronic, noncommunicable disease, affecting a large population, specially in asian countries like India and China. Tuberculosis is also a major threat to health worldwide. It has been reported that diabetes increases the risk of tuberculosis infection threefold and thus creating a joint epidemic. Therefore, in this article, we study the association of diabetes with tuberculosis infection through a Mathematical modeling approach. We have taken published data of diabetic people having tuberculosis infections from six DM clinics of Indian territory hospitals. For parameters, we have taken previously standarized published values. We have expressed the model with the help of differential equations. Further, we study the stability of the critical points for diabetes with tuberculosis infection. Finally, we perform some numerical experiments using fourth order Adams–Bashforth–Moulton predictor corrector method to improve some existing results. This study highlights that tuberculosis infections among diabetic people are higher. It also shows the pattern of tuberculosis infection among diabetic people. By finding stable point of these diseases outbreak, it gives us the insight about the preventive measures to control this joint epidemic in a better way.

Journal

The Journal of AnalysisSpringer Journals

Published: May 29, 2018

References