So I am trying to figure out a threshold for an activity driven model. That is described in this paper: https://www.nature.com/articles/srep00469
That is I don't see how the researchers got
R0 to be between 0.2 and 0.5 (page 6). If they are using
epsilon=10^-3 and threshold is defined in equation 4, my calculations give me threshold of
Now if the power law distribution (activity) is a random number i.e. this: http://mathworld.wolfram.com/RandomNumber.html
this yields average activity of
0.005489691793543477 using this equation:
so then following equation 4, the threshold is
2.020396043515874, but that's not what Figure 4 (B) is showing so I'm very confused.
I would really appreciate if someone could clear this out for me.