def get$\_$exp$($sim$\_$run, I$\_$thresh$=100)$:

$"""$

Inputs:

sim$\_$run:tuple

tuple of $($t$,$ S$,$ I$)$

I$\_$thresh:int

Threshold of I. We only fit the curve where I $<=$ I$\_$thresh

Returns:

tau:float

$"""$

def calc$\_$theretical$\_$taus$($G$,$ beta$=0\mathrm{.}01,$ mu$=0\mathrm{.}5)$:

$"""$

Inputs:

G:nx$.$Graph

beta:float

mu:float

Returns:

tau$\_$rand:float

tau$\_$slide:float

tau$\_$book:float

$"""$

def calc$\_$theretical$\_$endemic$\_$size$($G$,$ beta$=0\mathrm{.}01,$ mu$=0\mathrm{.}5)$:

$"""$

Inputs:

G:nx$.$Graph

beta:float

mu:float

Returns:

theretical$\_$endemic$\_$size:int

$"""$