The effect of density-dependent treatment and behavior change on the dynamics of HIV transmission |
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Authors: | Hsieh Y H Sheu S P |
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Institution: | (1) Department of Applied Mathematics, National Chung-Hsing University, Taichung, Taiwan 402. e-mail: yhhsieh@dragon.nchu.edu.tw, TW |
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Abstract: | In this work, we propose a model for heterosexual transmission of HIV/AIDS in a population of varying size with an intervention program in which treatment and/or behavior change of the infecteds occur as an increasing function of the density of the infected class in the population. This assumption has socio-economic implications which is important for public health considerations since density-dependent treatment/behavior change may be more cost-saving than a program where treatment/behavior change occurs linearly with respect to the number of infecteds. We will make use of the conservation law of total sexual contacts which enables us to reduce the two-sex model to a simpler one-sex formulation. Analytical results will be given. Unlike a similar model with linear treatment/behavior change in Hsieh (1996) where conditions were obtained for the eradication of disease, we will show that density-dependent treatment/behavior change cannot eradicate the disease if the disease is able to persist without any treatment/behavior change. This work demonstrates the need to further understand how treatment/behavior change occurs in a society with varying population. |
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Keywords: | or phrases: Epidemiological models – HIV transmission – Population with varying size – Density-dependent treatment/behavior change – Global analysis – Existence and uniqueness of endemic steady state |
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