Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal

Farai Nyabadza; Christinah Chiyaka; Zindoga Mukandavire; Senelani D. Hove-Musekwa

doi:10.1142/S0218339010003329

Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal

Farai Nyabadza
, Christinah Chiyaka
, Zindoga Mukandavire
, Senelani D. Hove-Musekwa

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

42 Citations (Scopus)

Abstract

Primary prevention measures designed to alter susceptibility and/or reduce exposure of susceptible individuals to diseases, remain the mainstay in the fight against HIV/AIDS. A model for HIV/AIDS, that investigates the reduction in infection by advocating for sexual behavior change through public-health information campaigns and withdrawal of individuals with AIDS from sexual activity is proposed and analyzed. The contact rate is modeled using an incidence function with saturation that depends on the number of infectives. The dynamics of the model is determined using the model reproduction number ${\cal R}-0$. Numerical simulations are presented to illustrate the role of some key epidemiological parameters. The results from the study demonstrate that an increase in the rate of dissemination of effective public-health information campaigns results in a decrease in the prevalence of the disease. Similarly, an increase in the fraction of individuals with AIDS who withdraw from sexual activities reduces the burden of the disease.

Original language	English
Pages (from-to)	357-375
Number of pages	19
Journal	Journal of Biological Systems
Volume	18
Issue number	2
DOIs	https://doi.org/10.1142/S0218339010003329
Publication status	Published - 1 Jun 2010
Externally published	Yes

Funding

The first author would like to acknowledge the support of the Department of Mathematical Sciences at the University of Stellenbosch, in the production of this manuscript. Senelani D. Hove-Musekwa acknowledges with thanks support from African Institute of Mathematical Sciences. Christinah Chiyaka and Zindoga Mukandavire acknowledge with thanks financial support from the National Science Council of Taiwan. We are grateful to the anonymous reviewer who greatly improved the flow of this paper.

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Contact Rate
HIV/AIDS
Information Campaigns
Reproduction Number
Stability

ASJC Scopus subject areas

Ecology
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

Access to Document

10.1142/S0218339010003329

Cite this

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abstract = "Primary prevention measures designed to alter susceptibility and/or reduce exposure of susceptible individuals to diseases, remain the mainstay in the fight against HIV/AIDS. A model for HIV/AIDS, that investigates the reduction in infection by advocating for sexual behavior change through public-health information campaigns and withdrawal of individuals with AIDS from sexual activity is proposed and analyzed. The contact rate is modeled using an incidence function with saturation that depends on the number of infectives. The dynamics of the model is determined using the model reproduction number \$\{\textbackslash{}cal R\}-0\$. Numerical simulations are presented to illustrate the role of some key epidemiological parameters. The results from the study demonstrate that an increase in the rate of dissemination of effective public-health information campaigns results in a decrease in the prevalence of the disease. Similarly, an increase in the fraction of individuals with AIDS who withdraw from sexual activities reduces the burden of the disease.",

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KW - Information Campaigns

KW - Reproduction Number

KW - Stability

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Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal

Abstract

Funding

UN SDGs

Keywords

ASJC Scopus subject areas

Access to Document

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