Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate

Ashenafi Kelemu Mengistu and Peter J. Witbooi

Abstract and Applied Analysis, 2020, vol. 2020, 1-10

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 . The model is illustrated using parameters applicable to Ethiopia. A variety of numerical simulations are carried out to illustrate our main results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6669997

DOI: 10.1155/2020/6669997

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