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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Main Authors: Kehinde Bashiru, Ojo O Aduroja, Mutiu L Olaosebikan, Asimiyu O Oladapo, Abiodun F Olatunji, Aasim A Dhikrullah, Mutairu K Kolawole
Format: Article
Language:English
Published: Fountain University Osogbo 2023-06-01
Series:Fountain Journal of Natural and Applied Sciences (FUJNAS)
Subjects:
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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2354-337X
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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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AT mutiulolaosebikan analysisandsimulationofhivaidstransmissiondynamicsandcontrolstrategies
AT asimiyuooladapo analysisandsimulationofhivaidstransmissiondynamicsandcontrolstrategies
AT abiodunfolatunji analysisandsimulationofhivaidstransmissiondynamicsandcontrolstrategies
AT aasimadhikrullah analysisandsimulationofhivaidstransmissiondynamicsandcontrolstrategies
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