  In this paper we consider a SEIRD epidemic model for a population composed by
two groups with asymmetric interaction. Given two sets of parameters for the
model, we estimate the distance of the solutions for the second group based on
the distance of solutions for the first one. We also study the final size of
the epidemic for each group. We illustrate our results with the spread of
coronavirus disease 2019 (COVID-19) pandemic in the New York County (USA) for
the initial stage of the contamination, and in the the cities of Petrolina and
Juazeiro (Brazil).
