2020 Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate
Ashenafi Kelemu Mengistu, Peter J. Witbooi
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Abstr. Appl. Anal. 2020: 1-10 (2020). DOI: 10.1155/2020/6669997

Abstract

The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious. The system has positive solutions. By constructing a Lyapunov function, it is proved that if the basic reproduction number is less than unity, then the disease-free equilibrium point is globally asymptotically stable. The Routh-Hurwitz criterion is used to prove the local stability of the endemic equilibrium when R0>1. The model is illustrated using parameters applicable to Ethiopia. A variety of numerical simulations are carried out to illustrate our main results.

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Ashenafi Kelemu Mengistu. Peter J. Witbooi. "Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate." Abstr. Appl. Anal. 2020 1 - 10, 2020. https://doi.org/10.1155/2020/6669997

Information

Received: 27 October 2020; Accepted: 18 November 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/6669997

Rights: Copyright © 2020 Hindawi

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