Mathematical Model of Male Circumcision in HIV/AIDS Preventions


Authors : Ekere S. Udofia

Volume/Issue : Volume 8 - 2023, Issue 8 - August

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/42xnk8ba

DOI : https://doi.org/10.5281/zenodo.8410295

Abstract : In this research, we have been able to establish the mathematical model of male circumcision in HIV/AIDS preventions. This could be a traditional ritual, religious rituals or medical procedure circumcision. The model is formulated under several assumptions.The steady states were established, and shown that these steady states are stable if (σ + μ) > −B and σ > −(μ + vc ). From the analysis of the model, we observed that if the sum of the rate of death due to natural incidence (μ) and that due to infection is reduced (vc ) while the rate of circumcision is increased, this will bring the reproduction number of infectious process to less than one and the epidemic will die out of the system.

Keywords : Circumcision, Male, HIV/AIDS, Dynamical System Theory, Equilibrium

In this research, we have been able to establish the mathematical model of male circumcision in HIV/AIDS preventions. This could be a traditional ritual, religious rituals or medical procedure circumcision. The model is formulated under several assumptions.The steady states were established, and shown that these steady states are stable if (σ + μ) > −B and σ > −(μ + vc ). From the analysis of the model, we observed that if the sum of the rate of death due to natural incidence (μ) and that due to infection is reduced (vc ) while the rate of circumcision is increased, this will bring the reproduction number of infectious process to less than one and the epidemic will die out of the system.

Keywords : Circumcision, Male, HIV/AIDS, Dynamical System Theory, Equilibrium

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