A Mathematical Model of the Tuberculosis Epidemic

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dc.contributor.authorAyinla, Ally Yeketi
dc.contributor.authorOthman, Wan Ainun Mior
dc.contributor.authorRabiu, Musa
dc.date.accessioned2023-05-09T14:24:26Z
dc.date.available2023-05-09T14:24:26Z
dc.date.issued2021-04-19
dc.description.abstractTuberculosis has continued to retain its title as “the captain among these men of death”. This is evident as it is the leading cause of death globally from a single infectious agent. TB as it is fondly called has become a major threat to the achievement of the sustainable development goals (SDG) and hence require inputs from different research disciplines. This work presents a mathematical model of tuberculosis. A compartmental model of seven classes was used in the model formulation comprising of the susceptible S, vaccinated V, exposed E, undiagnosed infectious I_1, diagnosed infectious I_2, treated T and recovered R. The stability analysis of the model was established as well as the condition for the model to undergo backward bifurcation. With the existence of backward bifurcation, keeping the basic reproduction number less than unity (R_0< 1) is no more sufficient to keep TB out of the community. Hence, it is shown by the analysis that vaccination program, diagnosis and treatment help to control the TB dynamics. In furtherance to that, it is shown that preference should be given to diagnosis over treatment as diagnosis precedes treatment. It is as well shown that at lower vaccination rate (0–20%), TB would still be endemic in the population. As such, high vaccination rate is required to send TB out of the community.en_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/9817
dc.language.isoenen_US
dc.publisherActa Biotheoreticaen_US
dc.subjectTuberculosis, vaccine, diagnosis, bifurcation, contact rateen_US
dc.titleA Mathematical Model of the Tuberculosis Epidemicen_US
dc.typeArticleen_US

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