  In this study, we have formulated and analyzed a non-linear compartmental
model (SEIR) for the dynamics of COVID-19 with reference to immigration from
urban to rural population in Indian scenario. We have captured the effect of
the immigration as two separate factors contributing in the rural compartments
of the model. We have first established the positivity of the solution and the
boundedness of the solution followed by the existence and uniqueness of the
solution for this multi compartment model. We later went on to find out the
equibria of the system and derived the reproduction number. Further we
numerically depicted the local and global stability of the equilibria. Later we
have done sensitivity analysis of the model parameters and identified the
sensitive parameters of the system. The sensitivity analysis is followed up
with the two parameter heat plots dealing with the sensitive parameters of the
system. These heat plots gives us the parameter regions in which the system is
stable. Finally comparative and effectiveness studies were done with reference
to the control interventions such as Vaccination, Antiviral drugs,
Immunotheraphy.
