The effects of immunity and resistance on the development of AIDS

Martha Abell; James Braselton; Lorraine Braselton

doi:10.1016/j.jmaa.2006.12.021

The effects of immunity and resistance on the development of AIDS

Martha Abell
, James Braselton
, Lorraine Braselton

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We incorporate basic genetics into an AIDS model. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs.

Original language	English
Pages (from-to)	8-23
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	333
Issue number	1 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.jmaa.2006.12.021
State	Published - Sep 1 2007

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

AIDS
HIV infection
Hardy-Weinberg equation
Mutation
Polymorphism
Routh-Hurwitz theorem
SIS model

Access to Document

10.1016/j.jmaa.2006.12.021

Cite this

@article{d32aa6d203bf426fa266fee2af77f1b9,

title = "The effects of immunity and resistance on the development of AIDS",

abstract = "We incorporate basic genetics into an AIDS model. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs.",

keywords = "AIDS, HIV infection, Hardy-Weinberg equation, Mutation, Polymorphism, Routh-Hurwitz theorem, SIS model",

author = "Martha Abell and James Braselton and Lorraine Braselton",

year = "2007",

month = sep,

day = "1",

doi = "10.1016/j.jmaa.2006.12.021",

language = "English",

volume = "333",

pages = "8--23",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1 SPEC. ISS.",

}

TY - JOUR

T1 - The effects of immunity and resistance on the development of AIDS

AU - Abell, Martha

AU - Braselton, James

AU - Braselton, Lorraine

PY - 2007/9/1

Y1 - 2007/9/1

N2 - We incorporate basic genetics into an AIDS model. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs.

AB - We incorporate basic genetics into an AIDS model. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs.

KW - AIDS

KW - HIV infection

KW - Hardy-Weinberg equation

KW - Mutation

KW - Polymorphism

KW - Routh-Hurwitz theorem

KW - SIS model

UR - https://www.scopus.com/pages/publications/34248186616

U2 - 10.1016/j.jmaa.2006.12.021

DO - 10.1016/j.jmaa.2006.12.021

M3 - Article

SN - 0022-247X

VL - 333

SP - 8

EP - 23

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1 SPEC. ISS.

ER -

The effects of immunity and resistance on the development of AIDS

Abstract

UN SDGs

Scopus Subject Areas

Keywords

Access to Document

Other files and links

Fingerprint

Cite this