Numfor, Eric

English

VCU Scholars Compass

Masthead LogoVirginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2019May 15th, 11:00 AMA Malaria-HIV/AIDS Co-infection Model withOptimal Treatment and Insecticide-treated BednetsEric NumforAugusta University, enumfor@augusta.eduFollow this and additional works at: https://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.https://scholarscompass.vcu.edu/bamm/2019/wed/7The concurrent use of multiple strategies has been recommended as an effective strategy to reduce malaria and its burden. In this talk, we present a mathematical model for malaria-HIV/AIDS co-infection and control in which malaria treatment, insecticide-treated bednets, and HIV/AIDS treatment are incorporated. The existence of a backward bifurcation is established. The optimal impact of malaria treatment, insecticide-treated bednets and HIV/AIDS treatment are assessed, by formulating and analyzing an optimal control problem to gain qualitative understanding on how different combinations of these controls should be used to reduce disease prevalence in a malaria-HIV/AIDS endemic setting. 

A Malaria-HIV/AIDS Co-infection Model with Optimal Treatment and Insecticide-treated Bednets

ISU ReD: Research and eData

The concurrent use of multiple strategies has been recommended as an effective strategy to reduce malaria and its burden. In this talk, we present a mathematical model for malaria-HIV/AIDS co-infection and control in which malaria treatment, insecticide-treated bednets, and HIV/AIDS treatment are incorporated. The existence of a backward bifurcation is established. The optimal impact of malaria treatment, insecticide-treated bednets and HIV/AIDS treatment are assessed, by formulating and analyzing an optimal control problem to gain qualitative understanding on how different combinations of these controls should be used to reduce disease prevalence in a malaria-HIV/AIDS endemic setting. 

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1340&amp;context=bamm

A Malaria-HIV/AIDS Co-infection Model with Optimal Treatment and Insecticide-treated Bednets

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VCU Scholars Compass

ISU ReD: Research and eData