HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives

Esther Chigidi; Edward M. Lungu

doi:10.3934/mbe.2009.6.427

Article Contents

2009, Volume 6, Issue 3: 427-450. Doi: 10.3934/mbe.2009.6.427

This issue Previous Article Next Article Blasting neuroblastoma using optimal control of chemotherapy

HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives

Esther Chigidi^1, and
Edward M. Lungu^1,

1.
University of Botswana, P B 0022, Gaborone

Received: January 31, 2008

Revised: October 31, 2008

Published: May 2009

Abstract Related Papers Cited by

Abstract

We formulate an HIV/AIDS deterministic model which incorporates differential infectivity and disease progression for treatment-naive and treatment-experienced HIV/AIDS infectives. To illustrate our model, we have applied it to estimate adult HIV prevalence, the HIV population, the number of new infectives and the number of AIDS deaths for Botswana for the period 1984 to 2012. It is found that the prevalence peaked in the year 2000 and the HIV population is now decreasing. We have also found that under the current conditions, the reproduction number is $R_c\approx1.3$, which is less than the 2004 estimate of $R_c$ ≃ 4 by [11] and [13]. The results in this study suggest that the HAART program has yielded positive results for Botswana.

Keywords:

Mathematics Subject Classification: Primary: 92D30; Secondary: 92B05; 34D23.

Citation:

Article Metrics

HTML views() PDF downloads(34) Cited by(0)

HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content