Analysis and simulation of  HIV/AIDS transmission dynamics and control strategies

Kehinde Bashiru; Ojo O Aduroja; Mutiu L Olaosebikan; Asimiyu O Oladapo; Abiodun F Olatunji; Aasim A Dhikrullah; Mutairu K Kolawole

doi:10.53704/fujnas.v12i1.441

Authors

Kehinde Bashiru Osun State University
Ojo O Aduroja Department of Mathematics, Ilesa University, Nigeria
Mutiu L Olaosebikan Department of Mathematics, Osun State University, Nigeria
Asimiyu O Oladapo Department of Mathematics, Osun State University, Nigeria
Abiodun F Olatunji Department of Computer Science, Federal Polytechnic Ede, Nigeria
Aasim A Dhikrullah Department of Mathematics, Osun State University, Nigeria
Mutairu K Kolawole Department of Mathematics, Osun State University, Nigeria.

DOI:

https://doi.org/10.53704/fujnas.v12i1.441

Keywords:

HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition.

Abstract

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

Author Biography

Kehinde Bashiru, Osun State University

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