Authors :
Kimulu Ancent Makau; Oke Abayomi Samuel; Muli Charles Ndambuki
Volume/Issue :
Volume 8 - 2023, Issue 8 - August
Google Scholar :
https://bit.ly/3TmGbDi
Scribd :
https://tinyurl.com/avu3ma7a
DOI :
https://doi.org/10.5281/zenodo.8285945
Abstract :
The COVID-19 virus has been one of the
deadly virus since it was first reported in December 2019
in Wahun, China. However vaccines have been
developed for COVID-19 which were approved to be
safe and reduced the infections, none such vaccine has
been discovered for HIV. These two diseases are viral
and this model is designed to study the co-infection
dynamics in Kenya. Several models have been done on
the HIV-COVID -19 co-infections in the world and our
model focused on dynamics of Kenyan co-infected
population. This study focused on the effect of COVID –
19 infection on HIV infected population. The
equilibrium points were determined and their stability
was determined using the Jacobian method. The
reproduction number was obtained using the Next
Generation Method. The DFE was asymptotically stable
when Ro < 1 and unstable when Ro > 1. The model was
solved numerically using MATLAB ode45 solver and the
results shows that increase in the COVID-19 infection
rate leads to increase in the co-infected population, the
treated and the viral suppressed populations in the
system. This implies that the co-infected population
responds better to treatment to reduce their viral load in
their bodies and hence reducing thedanger of death due
to the co-infection.
Keywords :
HIV, COVID-19, Co – Infection, Dynamics, Coronavirus, Next Generation Matrix.
The COVID-19 virus has been one of the
deadly virus since it was first reported in December 2019
in Wahun, China. However vaccines have been
developed for COVID-19 which were approved to be
safe and reduced the infections, none such vaccine has
been discovered for HIV. These two diseases are viral
and this model is designed to study the co-infection
dynamics in Kenya. Several models have been done on
the HIV-COVID -19 co-infections in the world and our
model focused on dynamics of Kenyan co-infected
population. This study focused on the effect of COVID –
19 infection on HIV infected population. The
equilibrium points were determined and their stability
was determined using the Jacobian method. The
reproduction number was obtained using the Next
Generation Method. The DFE was asymptotically stable
when Ro < 1 and unstable when Ro > 1. The model was
solved numerically using MATLAB ode45 solver and the
results shows that increase in the COVID-19 infection
rate leads to increase in the co-infected population, the
treated and the viral suppressed populations in the
system. This implies that the co-infected population
responds better to treatment to reduce their viral load in
their bodies and hence reducing thedanger of death due
to the co-infection.
Keywords :
HIV, COVID-19, Co – Infection, Dynamics, Coronavirus, Next Generation Matrix.
