Mathematical Model for Transmission Dynamics of Tuberculosis in Burundi
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ID: 282674
2023
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Abstract
Tuberculosis (TB) is among the main public health challenges in Burundi. The
literature lacks mathematical models for key parameter estimates of TB
transmission dynamics in Burundi. In this paper, the
supectible-exposed-infected-recovered (SEIR) model is used to investigate the
transmission dynamics of tuberculosis in Burundi. Using the next generation
method, we calculated the basic reproduction number, R0. The model is
demonstrated to have a disease-free equilibrium (DEF) that is locally and
globally asymptotically stable. When the corresponding reproduction threshold
quantity approaches unity, the model enters an endemic equilibrium (EE). That
means, the disease can be controlled through different interventions in
Burundi. A sensitivity analysis of the model parameters was also investigated.
It shows that the progression rate from latent to becoming infectious had the
highest positive sensitivity, which means that R0 increases and decreases
proportionally with an increase and a decrease of that progression rate.
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| Authors | Steve Sibomanaa; Kelly Joelle Gatore Sinigirira; Paterne Gahungu; David Niyukuri |
| Journal | arXiv |
| Year | 2023 |
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