Optimal Control of a Sex-Structured HIV/AIDS Model with Condom Use

被引：10
|
作者：
Magombedze, G. [1 ]
Mukandavire, Z. [1 ]
Chiyaka, C. [1 ]
Musuka, G. [2 ]
机构：
[1] Dept Appl Math, Bulawayo, Zimbabwe
[2] African Comprehens HIV AIDS Partnerships, Gaborone, Botswana
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2009年 / 14卷 / 04期
关键词：
HIV/AIDS; heterosexual; modelling; optimal control; condom; FUSION INHIBITORS; ENTRY INHIBITORS; HIV; HAART; STEP;
D O I：
10.3846/1392-6292.2009.14.483-494
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：483 / 494
页数：12
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