Mathematical analysis of drug resistance in vertical transmission of HIV/AIDS

Symon Chibaya, Moatlhodi Kgosimore, Estomih S. Massawe

Basic Sciences Programme, Natural Resources College of Malawi, Lilongwe, Malawi.
Department of Basic Sciences, Botswana College of Agriculture, Gaborone, Botswana.
Mathematics Department, University of Dar es Salaam, Dar es Salaam, Tanzania.

DOI: 10.4236/ojepi.2013.33021                

Abstract

A nonlinear mathematical model of vertical transmission of HIV/AIDS is proposed to study the effects of drug resistance in the spread of the disease. The study assumes that treatment leads to the evolution of drug resistance in some pockets of the population. We use traditional methods to determine conditions for existence and stability of disease-free and endemic equilibrium points of the model. The study showed that the burden of the disease may be reduced if the reproduction number is reduced below unity and may persist if the reproduction number is raised above unity. Furthermore, evolution of drug resistance due to treatment may change the cause of the epidemic.

Keywords

Dynamics of HIV/AIDS; Vertical Transmission; Drug Resistance

Conflicts of Interest

The authors declare no conflicts of interest.

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