A simple SIDTR endemic model to make tuberculosis free India and stop spreading

S. Shalini Priya, K. Ganesan

Abstract


In this paper, we construct a SIDTR model. We develop a system of differential equations for SIDTR (Suspected, Infected, Diagnosed, Treatment and Recovered) model and analyze the outbreak of Tuberculosis (TB) infection and its effect on Indian population. We established theorems on stability analysis conditions for disease free equilibrium and endemic equilibrium. The basic reproduction number R0 was determined by using the next generation matrix. We attempt to fit our proposed mathematical model by using real world data which was taken from WHO. We expect that this study will be effective on controlling Tuberculosis (TB) spread and also we predicted the future TB infection in India.

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Published: 2023-07-03

How to Cite this Article:

S. Shalini Priya, K. Ganesan, A simple SIDTR endemic model to make tuberculosis free India and stop spreading, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 69

Copyright © 2023 S. Shalini Priya, K. Ganesan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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