Mathematical analysis of injectable PrEP and vaginal rings HIV prevention strategies among female sex workers in Kenya

Ancent Kimulu; Charles Wachira; Mlyashimbi Helikumi; Charles Muli; Winifred Mutuku

doi:10.51867/ajernet.maths.7.2.9

Authors

Ancent Kimulu Department of Mathematics and Statistics, Machakos University, Kenya https://orcid.org/0000-0002-3816-0304
Charles Wachira Department of Mathematics and Statistics, Machakos University, Kenya https://orcid.org/0000-0003-1415-2905
Mlyashimbi Helikumi Department of Mathematics and Statistics, Mbeya University of Science and Technology, Tanzania https://orcid.org/0009-0008-2564-1804
Charles Muli School of Education and Business Studies, Scott Christian University, Kenya https://orcid.org/0000-0003-0391-2577
Winifred Mutuku Department of Mathematics Actuarial Science, Kenyatta University, Kenya

DOI:

https://doi.org/10.51867/ajernet.maths.7.2.9

Keywords:

Injectable Prep, Female Sex Workers (FSWs), Vaginal rings, Next Generation Matrix, Jacobian Matrix

Abstract

This paper formulated a deterministic mathematical model to study the use of injectable PrEP and vaginal rings HIV prevention strategies among the Female Sex Workers in Kenya. The reproduction number, the disease-free equilibrium and endemic equilibrium points determined. The Next Generation Matrix (NGM) method was used to determine the Reproduction number. The Jacobian matrix method was used to analyze the local stability of the Disease Free Equilibrium which was locally stable and globally asymptotically stable when R0 < 1. The analysis of the model found that low use of Vaginal rings and Injectable PrEP while engaging in sex resulted in contacting the HIV virus and consistent use of injectable PrEP and the vaginal rings reduced the risk of contacting of HIV virus and consequently reduced the AIDS population. This work recommends use of both vaginal rings and Injectable PrEP as HIV/AIDS prevention strategies among the high risk populations and female sex workers. Therefore, the Ministry of Health in Kenya should make both Vaginal rings and Injectable PrEP available and affordable since it ranges from 1 to 8 US Dollars which is relatively expensive to the Female sex workers who rely on sex work as a source of livelihood. They should also educate these FSWs on the importance and proper use of using these preventive measures as a way of protecting themselves from HIV/AIDS.

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