Summarize your findings from COVID project.
Summarize your findings from COVID project. gr5aA
Different strategies are considered in order to control the spread of an epidemic disease when it occurs. The dynamic behavior of the spread of the disease changes by the implementation of these strategies. In this study, we have analyzed the dynamical behavior of the spread of COVID-19 with different strategies such as health consciousness, vaccination, isolation and quarantine with the help of a mathematical model. We have tested the positivity and boundedness of the model. The basic reproduction number of the model was obtained. Conditions for local stability for the disease-free equilibrium and endemic equilibrium have been obtained in this study. Dulac's criterion has been applied to check if the model had a periodic orbit. Nelder-Mead algorithm has been used to find optimized values of the unknown biological parameters of the model by using COVID-19 data of Italy. Sensitivity analysis of the parameters in basic reproduction number has also been conducted. Finally, Range-Kutta 4th order has been utilized to solve the model numerically and obtain graphical representation of the dynamic behavior of the model. The presented study suggests emphasizing on the health consciousness such as wearing facemasks, maintaining social distancing, etc. as well as vaccinating the population in order to control the spread of the disease.
Different
strategies
are considered
in order to control the
spread
of an epidemic disease when it occurs. The dynamic behavior of the
spread
of the disease
changes
by the implementation of these strategies. In this study, we have analyzed the dynamical behavior of the
spread
of COVID-19 with
different
strategies such as health consciousness, vaccination, isolation and quarantine with the
help
of a mathematical
model
. We have
tested
the positivity and
boundedness
of the
model
. The basic reproduction number of the
model
was obtained
. Conditions for local stability for the disease-free equilibrium and endemic equilibrium have
been obtained
in this study.
Dulac
's criterion has
been applied
to
check
if the
model
had a periodic orbit.
Nelder-Mead
algorithm has been
used
to find optimized values of the unknown biological parameters of the
model
by using COVID-19 data of Italy. Sensitivity analysis of the parameters in basic reproduction number has
also
been conducted
.
Finally
,
Range-Kutta
4th order has
been utilized
to solve the
model
numerically
and obtain graphical representation of the dynamic behavior of the
model
. The presented study suggests emphasizing on the health consciousness such as wearing
facemasks
, maintaining social distancing, etc.
as well
as vaccinating the population in order to control the
spread
of the disease.
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