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 |
| Summary: | 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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| ISSN: | 2350-1863 2354-337X |