Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment
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 equil...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2019-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/51/e3sconf_icenis2019_05003.pdf |
| _version_ | 1819176575240765440 |
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| author | Sutimin Khabibah Siti Munawwaroh Dita Anies Soelistyo U R. Heri |
| author_facet | Sutimin Khabibah Siti Munawwaroh Dita Anies Soelistyo U R. Heri |
| author_sort | Sutimin |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T21:12:56Z |
| format | Article |
| id | doaj.art-2781967dfcd24d01b9589b2b74ee08d4 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T21:12:56Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-2781967dfcd24d01b9589b2b74ee08d42022-12-21T18:12:27ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011250500310.1051/e3sconf/201912505003e3sconf_icenis2019_05003Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use TreatmentSutimin0Khabibah Siti1Munawwaroh Dita Anies2Soelistyo U R. Heri3Department of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityDepartment of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityDepartment of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityDepartment of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityA 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/51/e3sconf_icenis2019_05003.pdffswsclientsendemicequilibriumsstability |
| spellingShingle | Sutimin Khabibah Siti Munawwaroh Dita Anies Soelistyo U R. Heri Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment E3S Web of Conferences fsws clients endemic equilibriums stability |
| title | Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment |
| title_full | Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment |
| title_fullStr | Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment |
| title_full_unstemmed | Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment |
| title_short | Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment |
| title_sort | analysis of hiv transmission of commercial sex wokers and their clients with condom use treatment |
| topic | fsws clients endemic equilibriums stability |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/51/e3sconf_icenis2019_05003.pdf |
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