| Issue |
E3S Web Conf.
Volume 125, 2019
The 4th International Conference on Energy, Environment, Epidemiology and Information System (ICENIS 2019)
|
|
|---|---|---|
| Article Number | 05003 | |
| Number of page(s) | 5 | |
| Section | Environmental Epidemiology | |
| DOI | https://doi.org/10.1051/e3sconf/201912505003 | |
| Published online | 28 October 2019 | |
Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment
Department of Mathematics, Faculty of Sciences and Mathematics, Diponegoro University, Semarang - Indonesia
* Corresponding author: sutimin@undip.ac.id
A model of the HIV/AIDS epidemic among sex workers and their clients is discussed to study the effects of condom use in the prevention of HIV transmission. The model is addressed to determine the existence of equilibrium states, and then analyze the global stability of disease free and endemic equilibrium states. The global stability of equilibria depends on the vales of the basic reproduction ratio derived from the next generation matrix of the model. The endemic equilibrium state is globally stable when the ratio exceeds unity. The simulation results are presented to discuss the effect of condom use treatment in preventing the spread of HIV/AIDS among sex workers and their clients. The results show that the effectiveness level in using condoms in sexual intercourse corresponds to the decreasing level of the spread of HIV/AIDS. We use Maple and Matlab software to simulate the impact of condom use.
Key words: FSWs / clients / endemic / equilibriums / stability
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.