  In this paper we analyze the effects of commuting and social inequalities for
the epidemic development of the novel coronavirus (COVID-19). With this aim we
consider a SEIRD (susceptible, exposed, infected, recovered and dead by
disease) model without vital dynamics in a population divided into patches that
have different economic resources and in which the individuals can commute from
one patch to another (bilaterally). In the modeling we choose the social and
commuting parameters arbitrarily. We calculate the basic reproductive number
$R_0$ with the next generation approach and analyze the sensitivity of $R_0$
with respect to the parameters. Furthermore, we run numerical simulations
considering a population divided into two patches to bring some conclusions on
the number of total infected individuals and cumulative deaths for our model
considering heterogeneous populations.
