Optimal control of a sex‐structured HIV/AIDS model with condom use

Optimal control theory is applied to a sex‐structured HIV/AIDS model with condom use as an intervention strategy. An objective functional to maximise condom use in a population and minimise cases of infectious HIV is adopted. The optimal control is characterised and solved numerically. Simulation re...

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Bibliographic Details
Main Authors: Gesham Magombedze, Zindoga Mukandavire, Christinah Chiyaka, Godfrey Musuka
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2009-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6571
Description
Summary:Optimal control theory is applied to a sex‐structured HIV/AIDS model with condom use as an intervention strategy. An objective functional to maximise condom use in a population and minimise cases of infectious HIV is adopted. The optimal control is characterised and solved numerically. Simulation results suggest that high percentage of condom usage is associated with reduced HIV incidence, while high costs of condom usage campaigns reduces the percentage condom usage. Targeting issuance of condoms to infectious individuals enables reduction of condom usage campaign costs, hence ensures high percentage of condom usage. First published online: 14 Oct 2010
ISSN:1392-6292
1648-3510