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A Theoretical Framework of HIV: Sigmoidal Vertical Transmission Function

Author

Listed:
  • 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)

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.

Suggested Citation

  • Moatlhodi Kgosimore & Gosalamang Ricardo Kelatlhegile, 2017. "A Theoretical Framework of HIV: Sigmoidal Vertical Transmission Function," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 1(5), pages 91-94, May.
    • Handle: RePEc:adp:jbboaj:v:1:y:2017:i:5:p:91-94
    DOI: 10.19080/BBOAJ.2017.01.555571
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