Tuberculosis Model with Exogenous Reinfection and Treatment
Tuberculosis Model with Exogenous Reinfection and Treatment
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Date
2020
Authors
Appiagyei, Ebenezer
Osman, Mojeeb b Al-Rahman El-Nor
Adu, Isaac Kwasi
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Publisher
Asian Research Journal of Mathematic
Abstract
The epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is
analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since
tuberculosis is treatable, we also included the treatment for diagnosed infective. We presented the basic
reproduction number and the stability of the disease-free and endemic equilibria. We also analyzed the
model when the exogenous re-infection is set to zero. The exogenous re-infection is shown to be capable
of supporting multiple equilibria. Lastly, we presented the global stability and numerical simulations of
the model
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Citation
Appiagyei, E., Osman, M. A. R. E. N., & Adu, I. K. (2020). Tuberculosis Model with Exogenous Reinfection and Treatment. Asian Research Journal of Mathematics, 16(3), 50-65.