Browsing by Author "Kwach, Boniface Otieno"

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    Mathematical Modelling and Optimal Controls for Controlling Pneumonia-HIV Co-Infection
    (International Journal of Innovative Research & Development, 2021-01-07) Wafula, Nebert Kituni; Kwach, Boniface Otieno; Marani, Vincent Nyongesa
    Bacterial infections like Pneumonia have emerged as an important cause of morbidity and mortality in individuals infected with HIV giving rise to their co-infection. There are mathematical models that describe; the co-dynamics, treatment and protection mechanisms of Pneumonia and HIV infections. Therefore, this research is aimed at determining optimal control treatments through developing a deterministic mathematical model Pneumonia-HIV coinfection incorporating the use of anti-pneumonia and ART treatment interventions as controls. The uncontrolled pneumonia-HIV co-infection is presented with its analysis. Finally, the optimal control theory for Pneumonia-HIV coinfection model is derived analytically by applying the Pontryagin’s Maximum Principle.