Analysis of Mathematical Model of Diabetes and Tuberculosis Co-infection

In this work, a mathematical model for the co-dynamics of diabetes and tuberculosis co-infection is considered and analyzed. The positivity and boundedness of the solutions are also proven. Local stability of the model as well as global stability of the model were verified. Furthermore, bifurcation...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2023-06, Vol.9 (3), Article 36
Main Authors: Agwu, Chukwuemeka O., Omame, Andrew, Inyama, Simeon C.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Cost analysis
Cost effectiveness
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Maximum principle
Nuclear Energy
Operations Research/Decision Theory
Optimal control
Original Paper
Personal hygiene
Stability analysis
Theoretical
Tuberculosis
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Summary:In this work, a mathematical model for the co-dynamics of diabetes and tuberculosis co-infection is considered and analyzed. The positivity and boundedness of the solutions are also proven. 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.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-023-01515-5