A Theoretical Framework of HIV: Sigmoidal Vertical Transmission Function

Moatlhodi Kgosimore and Gosalamang Ricardo Kelatlhegile
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Moatlhodi Kgosimore: Department of Basic Sciences, Botswana University of Agriculture and Natural Resources, Botswana
Gosalamang Ricardo Kelatlhegile: Department of Basic Sciences, Botswana University of Agriculture and Natural Resources, Botswana

Biostatistics and Biometrics Open Access Journal, 2017, vol. 1, issue 5, 91-94

Abstract: HIV/AIDS has over three decades caused loss of life among infected individuals and reversed socio-economic gains in both developed and developing nations, particularly in sub-Saharan Africa. The HIV infection is mainly transmitted horizontally and vertically. This study formulates and analyses an HIV theoretical framework described by sigmoidal vertical transmission function. We model the proportion vertically infected with a time dependent sigmoidal function, which is a decreasing function of time. The aim of the study is to investigate the role vertical transmission in predicting the outcome of an epidemic. A system of differential equations based on continuous time is formulated and simulated for various parameter values and state variables at equilibrium.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:1:y:2017:i:5:p:91-94

DOI: 10.19080/BBOAJ.2017.01.555571

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