Mathematical Modelling of the Effects Funding on HIV Dynamics among Truckers and Female Sex Workers along the Kenyan Northern Corridor Highway
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Date
2022-08
Authors
Kimulu, Ancent Makau
Mutuku, Winifred Nduku
Mwalili, Samuel Musili
Malonza, David
Abayomi, Samuel Oke
Journal Title
Journal ISSN
Volume Title
Publisher
science publishing group
Abstract
The Southern and Eastern parts of Africa are the most hit by HIV/AIDS in the world and a huge financial
commitment is required to control the spread of the disease. Of these countries, Kenya and South Africa have been able to
increase prevention and treatment services due to their financial commitment to fighting the epidemic. However, studies have
shown that most of the financial commitment comes from private donors and the private sectors are recently becoming
reluctant to release funds. It is therefore important to ensure that the available funding is effectively utilised. Studies in 2018
show that infections occurred mostly among the key populations on the Kenyan Northern Corridor highway; such as sex
workers and truckers. Moreso, transactional sex which involves cash transfer is the main mode of transmission of HIV/AIDS
along the Northern corridor highway in Kenya. In this paper, we study the effect of funding on HIV transmission between
truckers and female sex workers. A mathematical model with funding parameters is developed and analysed to determine the
effects of funding on the HIV transmission dynamics between truckers and female sex workers. The reproduction number is
obtained using the next-generation matrix and the conditions for the stability of the equilibrium points are established. The
model is fed into the MATLAB ode45 solver and a numerical simulation is carried out. The results show that increasing
circumcision funding reduces the rate of migration from the Susceptible class to the Infected class. Also, increasing treatment
funding increases the Treatment class and reduces the overall number of AIDS-related.
Description
article
Keywords
HIV/AIDS, Funding, Transmission Dynamics, Truckers, Female Sex Workers
Citation
Ancent Makau Kimulu, Winifred Nduku Mutuku, Samuel Musili Mwalili, David Malonza, Abayomi Samuel Oke. Mathematical Modelling of the Effects Funding on HIV Dynamics Among Truckers and Female Sex Workers Along the Kenyan Northern Corridor Highway. Advances in Applied Sciences. Vol. 7, No. 3, 2022, pp. 52-64. doi: 10.11648/j.aas.20220703.14