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 mo...
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| Format: | Article |
| Language: | English |
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FLAYOO PUBLISHING HOUSE LIMITED
2025-03-01
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| Series: | Proceedings of the Nigerian Society of Physical Sciences |
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| Online Access: | https://flayoophl.com/journals/index.php/pnspsc/article/view/179 |
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| author | Omowumi Fatimah Lawal Afeez Abidemi |
| author_facet | Omowumi Fatimah Lawal Afeez Abidemi |
| author_sort | Omowumi Fatimah Lawal |
| collection | DOAJ |
| description |
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.
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| format | Article |
| id | doaj-art-b8e7e7366c5e4ac792f058e89b15407f |
| institution | OA Journals |
| issn | 1115-5876 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | FLAYOO PUBLISHING HOUSE LIMITED |
| record_format | Article |
| series | Proceedings of the Nigerian Society of Physical Sciences |
| spelling | doaj-art-b8e7e7366c5e4ac792f058e89b15407f2025-08-20T01:50:10ZengFLAYOO PUBLISHING HOUSE LIMITEDProceedings of the Nigerian Society of Physical Sciences1115-58762025-03-012110.61298/pnspsc.2025.2.179Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured populationOmowumi Fatimah Lawal0Afeez Abidemi1Department of Mathematical Sciences, Bamidele Olumilua University of Education, Science, and Technology, Ikere-Ekiti, P.M.B. 250, Ekiti State, NigeriaDepartment of Mathematical Sciences, Federal University of Technology Akure, P.M.B. 704, Ondo State, Nigeria 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. https://flayoophl.com/journals/index.php/pnspsc/article/view/179TuberculosisAge-structured populationEffective reproduction numberVaccination |
| spellingShingle | Omowumi Fatimah Lawal Afeez Abidemi Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population Proceedings of the Nigerian Society of Physical Sciences Tuberculosis Age-structured population Effective reproduction number Vaccination |
| title | Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population |
| title_full | Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population |
| title_fullStr | Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population |
| title_full_unstemmed | Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population |
| title_short | Modelling the effect of vaccination on the dynamics of tuberculosis in an age-structured population |
| title_sort | modelling the effect of vaccination on the dynamics of tuberculosis in an age structured population |
| topic | Tuberculosis Age-structured population Effective reproduction number Vaccination |
| url | https://flayoophl.com/journals/index.php/pnspsc/article/view/179 |
| work_keys_str_mv | AT omowumifatimahlawal modellingtheeffectofvaccinationonthedynamicsoftuberculosisinanagestructuredpopulation AT afeezabidemi modellingtheeffectofvaccinationonthedynamicsoftuberculosisinanagestructuredpopulation |