J Anal https://doi.org/10.1007/s41478-018-0086-5 ORI G INAL RESEARCH PAPER Mathematical modeling and dynamics of tuberculosis infection among diabetic patients in India 1 1 2 • • Merina Dhara Veeky Baths P. Danumjaya Received: 13 January 2018 / Accepted: 12 May 2018 Forum D’Analystes, Chennai 2018 Abstract Diabetes is chronic, noncommunicable disease, affecting a large popu- lation, 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–Moul- ton predictor corrector method to improve some existing results. This study high- lights that tuberculosis infections among diabetic people are higher. It also shows the pattern of
The Journal of Analysis – Springer Journals
Published: May 29, 2018
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