Analysis and simulation of HIV/AIDS transmission dynamics and control strategies
Abstract HIV/AIDS is a fatal illness that weakens the immune system of the body, making the victim susceptible to several opportunistic infections. The analysis and numerical simulation of the proposed epidemic model of HIV/AIDS with vertical transmission was carried out. The disease free and...
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Format: | Article |
Language: | English |
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Fountain University Osogbo
2023-06-01
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Series: | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
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Online Access: | https://fountainjournals.com/index.php/FUJNAS/article/view/441 |
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author | Kehinde Bashiru Ojo O Aduroja Mutiu L Olaosebikan Asimiyu O Oladapo Abiodun F Olatunji Aasim A Dhikrullah Mutairu K Kolawole |
author_facet | Kehinde Bashiru Ojo O Aduroja Mutiu L Olaosebikan Asimiyu O Oladapo Abiodun F Olatunji Aasim A Dhikrullah Mutairu K Kolawole |
author_sort | Kehinde Bashiru |
collection | DOAJ |
description |
Abstract
HIV/AIDS is a fatal illness that weakens the immune system of the body, making the victim susceptible to several opportunistic infections. The analysis and numerical simulation of the proposed epidemic model of HIV/AIDS with vertical transmission was carried out. The disease free and endemic equilibrium of the model were obtained and the basic reproduction number was established. Numerical simulations using the homotropy perturbation method was employed to demonstrate the efficacy of the key findings. The results of the simulation were graphically presented and interpreted.
Keywords: HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition
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first_indexed | 2024-03-11T19:48:36Z |
format | Article |
id | doaj.art-9316f037a54b495c9005c9347f060190 |
institution | Directory Open Access Journal |
issn | 2350-1863 2354-337X |
language | English |
last_indexed | 2024-03-11T19:48:36Z |
publishDate | 2023-06-01 |
publisher | Fountain University Osogbo |
record_format | Article |
series | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
spelling | doaj.art-9316f037a54b495c9005c9347f0601902023-10-05T16:54:48ZengFountain University OsogboFountain Journal of Natural and Applied Sciences (FUJNAS)2350-18632354-337X2023-06-01121Analysis and simulation of HIV/AIDS transmission dynamics and control strategies Kehinde Bashiru0Ojo O Aduroja1Mutiu L Olaosebikan2Asimiyu O Oladapo3Abiodun F Olatunji4Aasim A Dhikrullah5Mutairu K Kolawole6Osun State UniversityDepartment of Mathematics, Ilesa University, NigeriaDepartment of Mathematics, Osun State University, NigeriaDepartment of Mathematics, Osun State University, NigeriaDepartment of Computer Science, Federal Polytechnic Ede, NigeriaDepartment of Mathematics, Osun State University, NigeriaDepartment of Mathematics, Osun State University, Nigeria. Abstract HIV/AIDS is a fatal illness that weakens the immune system of the body, making the victim susceptible to several opportunistic infections. The analysis and numerical simulation of the proposed epidemic model of HIV/AIDS with vertical transmission was carried out. The disease free and endemic equilibrium of the model were obtained and the basic reproduction number was established. Numerical simulations using the homotropy perturbation method was employed to demonstrate the efficacy of the key findings. The results of the simulation were graphically presented and interpreted. Keywords: HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition https://fountainjournals.com/index.php/FUJNAS/article/view/441HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition. |
spellingShingle | Kehinde Bashiru Ojo O Aduroja Mutiu L Olaosebikan Asimiyu O Oladapo Abiodun F Olatunji Aasim A Dhikrullah Mutairu K Kolawole Analysis and simulation of HIV/AIDS transmission dynamics and control strategies Fountain Journal of Natural and Applied Sciences (FUJNAS) HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition. |
title | Analysis and simulation of HIV/AIDS transmission dynamics and control strategies |
title_full | Analysis and simulation of HIV/AIDS transmission dynamics and control strategies |
title_fullStr | Analysis and simulation of HIV/AIDS transmission dynamics and control strategies |
title_full_unstemmed | Analysis and simulation of HIV/AIDS transmission dynamics and control strategies |
title_short | Analysis and simulation of HIV/AIDS transmission dynamics and control strategies |
title_sort | analysis and simulation of hiv aids transmission dynamics and control strategies |
topic | HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition. |
url | https://fountainjournals.com/index.php/FUJNAS/article/view/441 |
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