Document Type
Article
Source Publication Title
Mathematical Biosciences
First Page
111
Last Page
133
DOI
http://dx.doi.org/10.1016/j.mbs.2003.11.004
Abstract
Genetic studies report the existence of a mutant allele Δ32 of CC R5 chemokine receptor gene at high allele frequencies ( 10%) in Caucasian populations. The presence of the allele is believed to provide partial or full resistance to HIV. In this study, we look at the impact of education, temporarily effective vaccines and therapies on the dynamics of HIV in homosexually active populations. In our model, it is assumed that some individuals possess one or two mutant alleles (like Δ32 of CCR5) that prevent the successful invasion or replication of HIV. Our model therefore differentiates by genetic and epidemiological status and naturally ignores the reproduction process. Furthermore, HIV infected individuals are classified as rapid, normal or slow progressors. In this complex setting, the basic reproductive number Ro is derived in various situations. The separate or combined effects of therapies, education, vaccines, and genetic resistance are analyzed. Our results support the conclusions of Hsu Schmitz that some integrated intervention strategies are far superior to those based on a single approach. However, treatment programs may have effects which counteract each other, as may genetic resistance.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-2004
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Kribs, Christopher; Del Valle, Sara; Morales Evangelista, Arlene; Velasco, Maria Cristina; and Hsu Schmitz, Shu-Fang, "Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity" (2004). Mathematics Faculty Publications. 22.
https://mavmatrix.uta.edu/math_facpubs/22
Comments
This study was supported by the following institutions and grants: National Science Foundation (NSF Grant DMS-9977919); National Security Agency (NSA and Grants MDA 904-00-1-0006); Sloan Foundation: Cornell-Sloan National Pipeline Program in the Mathematical Sciences; and the Office of the Provost of Cornell University.