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

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 populationsettings.

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Publication Details

Journal
Proceedings of the Nigerian Society of Physical Sciences
Published
2025-03-25
DOI
https://doi.org/10.61298/pnspsc.2025.2.179
Primary Topic
Tuberculosis Research and Epidemiology
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Afeez Abidemi, OO Lawal
Proceedings of the Nigerian Society of Physical Sciences
Tuberculosis Research and Epidemiology
article

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

Afeez Abidemi, OO Lawal
article en

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 populationsettings.

Proceedings of the Nigerian Society of Physical Sciences
Ekiti State University (NG), Federal University of Technology (NG)
Openalex Percentile: Top 92%
Tuberculosis Research and Epidemiology
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