1. Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach.
- Author
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Teklu, Shewafera Wondimagegnhu, Terefe, Birhanu Baye, Mamo, Dejen Ketema, and Abebaw, Yohannes Fissha
- Subjects
ORDINARY differential equations ,AIDS ,MIXED infections ,HIV ,VACCINATION - Abstract
In this paper, a compartmental model on the co-infection of pneumonia and HIV/AIDS with optimal control strategies was formulated using the system of ordinary differential equations. Using qualitative methods, we have analysed the mono-infection and HIV/AIDS and pneumonia co-infection models. We have computed effective reproduction numbers by applying the next-generation matrix method, applying Castillo Chavez criteria the models disease-free equilibrium points global stabilities were shown, while we have used the Centre manifold criteria to determine that the pneumonia infection and pneumonia and HIV/AIDS co-infection exhibit the phenomenon of backward bifurcation whenever the corresponding effective reproduction number is less than unity. We carried out the numerical simulations to investigate the behaviour of the co-infection model solutions. Furthermore,wehave investigated various optimal control strategies to predict the best control strategy to minimize and possibly to eradicate the HIV/AIDS and pneumonia co-infection from the community. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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