Mathematical model of the co-dynamics of diabetes and tuberculosis

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dc.contributor.authorAgwu, Chukwuemeka Obuji
dc.date.accessioned2025-05-27T11:38:03Z
dc.date.available2025-05-27T11:38:03Z
dc.date.issued2023-10
dc.descriptionThis thesis is for the award of Doctor of Philosophy (Ph.D) in Applied Mathematics
dc.description.abstractIn this work, a mathematical model for the co-dynamics of diabetes and tuberculosis coinfection was developed and analyzed. The positivity and boundedness of the solution of the developed model was also proved. Local stability of the model as well as global stability of the model were verified. Furthermore, bifurcation analysis of the model was carried out. The Pontryagin’s Maximum Principle was used to establish the necessary conditions for the existence of optimal control. Cost effectiveness analysis was carried out on the strategies and it was observed that the control strategy which combines applying prevention effort against development of diabetes by encouraging healthy lifestyle and prevention effort against development of TB by encouraging personal hygiene is the least expensive strategy as it significantly impacted the most in reducing the disease burden in the population with the best cost-effective result.
dc.identifier.citationAgwu, C. O. (2023). Mathematical model of the co-dynamics of diabetes and tuberculosis (Unpublished Doctoral Thesis). Federal University of Technology, Owerri, Nigeria
dc.identifier.urihttps://repository.futo.edu.ng/handle/20.500.14562/1930
dc.language.isoen
dc.publisherFederal University of Technology, Owerri
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subjectMathematical models
dc.subjectco-dynamics
dc.subjectco-infection
dc.subjectdiabetes
dc.subjecttuberculosis
dc.subjectglobal stability
dc.subjectbifurcation analysis
dc.subjectpontryagin maximum principle
dc.subjectoptimal control
dc.subjectpopulation
dc.subjectDepartment of Mathematics
dc.titleMathematical model of the co-dynamics of diabetes and tuberculosis
dc.typeDoctoral Thesis

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