Association of alcohol consumption with HIV/AIDS

A mathematical modelling approach

Gigi Thomas, Edward M. Lungu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

HIV/AIDS, even at the cusp of the fourth decade after its detection among humanbeings, still bedevils medical science and poses serious threats to human health. Globally,specifically in sub-Sahara Africa, the disease remains one of the major causes ofdeath. The battle to eradicate or control HIV/AIDS, which started as soon as the detectionof HIV, is far from being won, though there have been significant advances atvarious fronts. HIV/AIDS epidemic is a multifaceted problem with social, behaviouraland biological aspects, and it is generally agreed that in the absence of a cure, theburden of disease prevention and control falls significantly and predominantly on individualbehavioural change. Empirical studies have found heavy alcohol consumptionto be a fuelling factor for HIV/AIDS infection and progression. Motivated and enlightenedby these findings, Thomas and Lungu have previously constructed one-sex[59] and two-sex [60] models for the influence of alcohol consumption on the spreadof HIV/AIDS with two stages for disease progression. In this chapter, a staged progression(SP) and differential infectivity (DI) mathematical model, with and withoutdifferential susceptibility (DS), is constructed with four stages for disease progression,as an extension of [59]. Our model with differential susceptibility exhibits thephenomenon of backward bifurcation, and we find that the choice of incidence functionis not as decisive as the choice of differential susceptibility, for the phenomenonof backward bifurcation to occur. Numerical simulations explore the benefits of ongoingrecovery from heavy-drinking habits among the people living with HIV/AIDS(PLWHA) and the corresponding decline in the number of HIV population, new HIVinfections, number in need of anti-retroviral therapy (ART), etc. We conclude thatefforts to bring in behaviour change among the population will fall short of achievingtargeted goals, unless the problem of heavy alcohol consumption, among both the HIV negative and HIV positive individuals, is adequately recognized and addressedas a driver of the epidemic. Although our model can be applied in many situations,it is specially relevant to sub-Sahara Africa where heavy alcohol consumption amongyoung people is on the increase, age of onset of alcohol use is on the decrease andHIV/AIDS is highly prevalent.

Original languageEnglish
Title of host publicationA Treatise of Biological Models
PublisherNova Science Publishers, Inc.
Pages179-215
Number of pages37
ISBN (Print)9781622573905
Publication statusPublished - Dec 1 2012

Fingerprint

Alcohol
Mathematical Modeling
Progression
Susceptibility
Backward Bifurcation
HIV Infection
Cusp
Empirical Study
Therapy
Driver
Incidence
Health
Model
Mathematical Model
Numerical Simulation
Decrease
Africa

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Thomas, G., & Lungu, E. M. (2012). Association of alcohol consumption with HIV/AIDS: A mathematical modelling approach. In A Treatise of Biological Models (pp. 179-215). Nova Science Publishers, Inc..
Thomas, Gigi ; Lungu, Edward M. / Association of alcohol consumption with HIV/AIDS : A mathematical modelling approach. A Treatise of Biological Models. Nova Science Publishers, Inc., 2012. pp. 179-215
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Thomas, G & Lungu, EM 2012, Association of alcohol consumption with HIV/AIDS: A mathematical modelling approach. in A Treatise of Biological Models. Nova Science Publishers, Inc., pp. 179-215.

Association of alcohol consumption with HIV/AIDS : A mathematical modelling approach. / Thomas, Gigi; Lungu, Edward M.

A Treatise of Biological Models. Nova Science Publishers, Inc., 2012. p. 179-215.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Thomas G, Lungu EM. Association of alcohol consumption with HIV/AIDS: A mathematical modelling approach. In A Treatise of Biological Models. Nova Science Publishers, Inc. 2012. p. 179-215