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Mathematical model of the co-dynamics of diabetes and tuberculosis
(Federal University of Technology, Owerri, 2023-10) Agwu, Chukwuemeka Obuji
In 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.