Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population

Authors

  • Omowumi Fatimah Lawal Department of Mathematical Sciences, Bamidele Olumilua University of Education, Science, and Technology, Ikere-Ekiti, P.M.B. 250, Ekiti State, Nigeria
  • Afeez Abidemi Department of Mathematical Sciences, Federal University of Technology Akure, P.M.B. 704, Ondo State, Nigeria

Keywords:

Tuberculosis, Age-structured population, Effective reproduction number, Vaccination

Abstract

Despite several efforts, Tuberculosis (TB) is still a global leading cause of death. This paper proposed an age-structured deterministic model governing the transmission dynamics and control of TB in the presence of vaccination integrated into the eligible population. Qualitative analysis of the model was carried out to obtain the disease-free equilibrium point of it. The effective reproduction number, Re , of the model was calculated using the next generation matrix method, which offered a numerical indicator of the potential for TB transmission in the age-structured population. Numerical analysis further offers some insightful information about how the key sensitive parameters and the vaccination rate influence the transmission dynamics and control of TB in an age-structured population
settings.

Dimensions

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Published

2025-03-25

How to Cite

Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population. (2025). Proceedings of the Nigerian Society of Physical Sciences, 2(1), 179. https://doi.org/10.61298/pnspsc.2025.2.179

Issue

Volume 2, NSPS-FUOYE Conference, Feb. 3 - 6, 2025

Section

Articles
Copyright & Licensing

Copyright (c) 2025 Omowumi Fatimah Lawal, Afeez Abidemi (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population. (2025). Proceedings of the Nigerian Society of Physical Sciences, 2(1), 179. https://doi.org/10.61298/pnspsc.2025.2.179