The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment
A Mathematical Model of HIV/AIDS with Heterosexual transmission in the presence of treatment was examine in this paper, it ascertained the impact of treated individuals on the transmission dynamics of HIV/AIDS. Equilibrium points of the model system were found, stability analysis and numerical simu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Fountain University Osogbo
2017-12-01
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| Series: | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| Online Access: | https://fountainjournals.com/index.php/FUJNAS/article/view/150 |
| _version_ | 1797665648630824960 |
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| author | K. A. Bashiru T. A. Ojurongbe M. Lawal |
| author_facet | K. A. Bashiru T. A. Ojurongbe M. Lawal |
| author_sort | K. A. Bashiru |
| collection | DOAJ |
| description |
A Mathematical Model of HIV/AIDS with Heterosexual transmission in the presence of treatment was examine in this paper, it ascertained the impact of treated individuals on the transmission dynamics of HIV/AIDS. Equilibrium points of the model system were found, stability analysis and numerical simulation were carried out, it was discovered that HIV/AIDS can die out with test of time as Ro < 1 . It was observed that the model had a disease free equilibrium which was asymptotically stable for Ro < 1 and unstable for Ro > 1. Graphical representations of the numerical analysis showing the effect of treatment on the model were also presented.
Keywords: HIV/AIDS, Heterosexual Transmission, ARVs, Compartmental model, Disease Free and Endemic equilibrium, Treatment, and Basic Reproductive Number
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| first_indexed | 2024-03-11T19:48:05Z |
| format | Article |
| id | doaj.art-09db3315410a43c584d198e43f9a8314 |
| institution | Directory Open Access Journal |
| issn | 2350-1863 2354-337X |
| language | English |
| last_indexed | 2024-03-11T19:48:05Z |
| publishDate | 2017-12-01 |
| publisher | Fountain University Osogbo |
| record_format | Article |
| series | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| spelling | doaj.art-09db3315410a43c584d198e43f9a83142023-10-05T16:55:06ZengFountain University OsogboFountain Journal of Natural and Applied Sciences (FUJNAS)2350-18632354-337X2017-12-0162The Dynamic of Heterosexual Transmission of HIV-AIDS Model with TreatmentK. A. Bashiru0T. A. Ojurongbe1M. Lawal2Department of Mathematical Sciences, Osun State UniversityDepartment of Mathematical Sciences, Osun State UniversityDepartment of Mathematical and Computer Sciences, Fountain University, Osogbo, Nigeria A Mathematical Model of HIV/AIDS with Heterosexual transmission in the presence of treatment was examine in this paper, it ascertained the impact of treated individuals on the transmission dynamics of HIV/AIDS. Equilibrium points of the model system were found, stability analysis and numerical simulation were carried out, it was discovered that HIV/AIDS can die out with test of time as Ro < 1 . It was observed that the model had a disease free equilibrium which was asymptotically stable for Ro < 1 and unstable for Ro > 1. Graphical representations of the numerical analysis showing the effect of treatment on the model were also presented. Keywords: HIV/AIDS, Heterosexual Transmission, ARVs, Compartmental model, Disease Free and Endemic equilibrium, Treatment, and Basic Reproductive Number https://fountainjournals.com/index.php/FUJNAS/article/view/150 |
| spellingShingle | K. A. Bashiru T. A. Ojurongbe M. Lawal The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| title | The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment |
| title_full | The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment |
| title_fullStr | The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment |
| title_full_unstemmed | The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment |
| title_short | The Dynamic of Heterosexual Transmission of HIV-AIDS Model with Treatment |
| title_sort | dynamic of heterosexual transmission of hiv aids model with treatment |
| url | https://fountainjournals.com/index.php/FUJNAS/article/view/150 |
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