Tuberculosis Model with Exogenous Reinfection and Treatment

Appiagyei, Ebenezer and Osman, Mojeeb Al-Rahman El-Nor and Adu, Isaac Kwasi (2020) Tuberculosis Model with Exogenous Reinfection and Treatment. Asian Research Journal of Mathematics, 16 (3). pp. 50-65. ISSN 2456-477X

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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.

Item Type: Article
Subjects: Digital Open Archives > Mathematical Science
Depositing User: Unnamed user with email support@digiopenarchives.com
Date Deposited: 01 Mar 2023 07:27
Last Modified: 02 Sep 2024 12:29
URI: http://geographical.openuniversityarchive.com/id/eprint/499

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