MODELLING THE IMPACTS OF HEALTH CARE PROVIDERS IN TRANSMISSION DYNAMICS
OF COVID-19
Abstract
In this paper, a mathematical model is proposed and analysed to assess
the impacts of health care providers’ population on the transmission
dynamics of COVID-19. The stability theory of differential equations is
used to examine a mathematical model. The results of both local and
global stability of disease-free equilibrium points were determined by
using Routh-Hurwitz criteria and Metzler’s matrix method respectively,
which verified that it was asymptotically stable. Also, the endemic
equilibrium point was determined by the Lyapunov function which showed
that E ∗ was globally asymptotically stable under strict conditions. The
findings revealed that non-diagnosed and undetected health care
providers seem to contribute to the high spread of COVID-19 in a
population. Also, it illustrates that an increase in the number of
non-diagnostic testing rates of health care providers may result in high
infection rates in the community. Therefore, the particular study
recommend that there is a necessity of applying early diagnostic testing
to curtail the COVID-19 transmission in the health care providers’
population.