EoN.Attack_rate_discrete¶

EoN.Attack_rate_discrete(Pk, p, rho=None, Sk0=None, phiS0=None, phiR0=0, number_its=100)[source]¶

Encodes systems (6.6) and (6.10) of Kiss, Miller, & Simon. Please cite the book if using this algorithm.

To use system (6.6), leave rho and Sk0 as None.

Arguments:

Pk dict: Pk[k] is the probability a randomly selected node has degree k.
tau positive float: per-edge transmission rate.
gamma number: per-node recovery rate
number_its int The solution is found iteratively, so this determines: the number of iterations.
rho Number (default None): proportion of the population to be randomly infected at time 0 only one of rho and Sk0 can be defined. The other (or both) should remain None. if rho=0, then calculates the limiting attack rate as rho->0 (assuming an epidemic happens)
Sk0 dict (default None): only one of rho and Sk0 can be defined. The other (or both) should remain None. Sk0 is a dict such that Sk0[k] is the probability that a degree k node is susceptible at start.
phiS0 number (default None): Should only be used if Sk0 is not None. If it is None, then assumes that initial introduction is randomly introduced
phiR0 number (default 0): As with phiS0, only used if Sk0 is not None.

Returns: