Table 1.

Input Parameters and their considered values.

Input parameter	Description	Value or range
$R_0$	The basic reproductive number.	1.5 to 4.5
$i_0$	The initial prevalence expressed as a proportion of the total population.	${10}^{-4}-0.005$
c	The cost of social distancing expressed as a proportion of the cost of infection.	0.02 to 0.4
${\tau }_{\text{final}}$	The duration of the fixed time horizon expressed as a proportion of the disease progression time scale ${\gamma }^{-1}$.	4 to 80