Mayowa M. Ojo, Olumuyiwa James Peter, Emile Franc Doungmo Goufo, Hasan S. Panigoro, Festus Abiodun Oguntolu
Tuberculosis is an infectious disease caused by bacteria that most commonly affects the lungs. Due to its high mortality, it remains a global health issue, and it is one of the leading causes of death in the majority of sub-Saharan African countries. We formulate a six-compartmental deterministic model to investigate the impact of vaccination on the dynamics of tuberculosis in a given population. The qualitative behaviors of the presented model were examined, and the respective threshold quantity was obtained. The tuberculosis-free equilibrium of the system is said to be locally asymptotically stable when the effective reproduction number R< 1 and unstable otherwise. Furthermore, we examined the stability of the endemic equilibrium, and the conditions for the existence of backward bifurcation are discussed. A numerical simulation was performed to demonstrate and support the theoretical findings. The result shows that reducing the effective contact with an infected person and enhancing the rate of vaccinating susceptible individuals with high vaccine efficacy will reduce the burden of tuberculosis in the population. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.
Microbiology Division, Thermo Fisher Scientific, Lenexa, KS, United States; Department of Mathematical Sciences, University of South Africa, Florida, South Africa; Department of Mathematics, University of Ilorin, Kwara State, Ilorin, Nigeria; Department of Mathematics, State University of Gorontalo, Bone Bolango, 96119, Indonesia; Department of Mathematics, Federal University of Technology, Niger State, Minna, Nigeria
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