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dc.contributor.authorByamukama, Michael
dc.contributor.authorKajunguri, Damian
dc.contributor.authorKaruhanga, Martin
dc.date.accessioned2024-08-20T09:16:11Z
dc.date.available2024-08-20T09:16:11Z
dc.date.issued2023
dc.identifier.citationByamukama, M., Kajunguri, D., & Karuhanga, M. (2023). A mathematical model for Co-infection dynamics of pneumocystis pneumonia and HIV/AIDS with treatment. Science Journal of Applied Mathematics and Statistics :2306.04407.en_US
dc.identifier.urihttp://ir.must.ac.ug/xmlui/handle/123456789/3742
dc.description.abstractThe control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/AIDS. In this study a deterministic co-infection mathematical model is developed to provide a quantification of treatment at each contagious stage against Pneumocystis Pneumonia (PCP) among HIV infected individuals on ART. The goal is to minimize the co-infection burden by putting the curable PCP under control. The disease-free equilibria for the HIV/AIDS sub-model, PCP sub-model and the co-infection model are shown to be locally asymptotically stable when their associated disease threshold parameter is less than a unity. By use of suitable Lyapunov functions, the endemic equilibria corresponding to HIV/AIDS and PCP sub-models are globally asymptotically stable whenever the HIV/AIDS related basic reproduction numberR0H and the PCP related reproduction numberR0P are respectively greater than a unity. The sensitivity analysis results implicate that the effective contact rates are the main mechanisms fueling the proliferation of the two diseases and on the other hand treatment efforts play an important role in reducing the incidence. The model numerical results reveal that PCP carriers have a considerable contribution in the transmission dynamics of PCP. Furthermore, treatment of PCP at all contagious phases significantly reduces the burden with HIV/AIDS and PCP co-infection.en_US
dc.language.isoen_USen_US
dc.publisherScience Journal of Applied Mathematics and Statisticsen_US
dc.subjectHIV/AIDSen_US
dc.subjectPCP Carriersen_US
dc.subjectBasic Reproduction Number(s)en_US
dc.subjectCo-infectionen_US
dc.subjectStabilityen_US
dc.subjectSensitivity Analysisen_US
dc.titleA Mathematical Model for the Co-infection Dynamics of Pneumocystis Pneumonia and HIV/AIDS with Treatmenten_US
dc.typeArticleen_US


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