  Continuum models of epidemics do not take into account the underlying
microscopic network structure of social connections. This drawback becomes
extreme during quarantine when most people dramatically decrease their number
of social interactions, while others (like cashiers in grocery stores) continue
maintaining hundreds of contacts per day. We formulate a two-level model of
quarantine. On a microscopic level, we model a single neighborhood assuming a
star-network structure. On a mesoscopic level, the neighborhoods are placed on
a two-dimensional lattice with nearest neighbors interactions. The modeling
results are compared with the COVID-19 data for several counties in Michigan
(USA) and the phase diagram of parameters is identified.
