  We developed a mathematical model to describe the transmission of new
coronavirus in the S\~ao Paulo State, Brazil. The model divided a community in
subpopulations comprised by young and elder persons, in order to take into
account higher risk of fatality among elder persons with severe CoViD-19. From
data collected in the S\~ao Paulo State, we estimated the transmission and
additional mortality rates, from which we calculated the basic reproduction
number R0. From estimated parameters, estimation of the deaths due to CoViD-19
was three times lower than those found in literature. Considering isolation as
a control mechanism, we varied isolation rates of young and elder persons in
order to assess their epidemiological impacts. The epidemiological scenarios
focused mainly on evaluating the number of severe CoViD-19 cases and deaths due
to this disease when isolation is introduced in a population.
