EoN.SIS_homogeneous_pairwise

EoN.SIS_homogeneous_pairwise(S0, I0, SI0, SS0, n, tau, gamma, tmin=0, tmax=100, tcount=1001, return_full_data=False)

Encodes System (4.10) of Kiss, Miller, & Simon. Please cite the book if using this algorithm.

In the text this is often referred to as the “mean-field model closed at the level of triples”

Arguments:

S0 number

initial number susceptible

I0 number

initial number infected

SI0 number

initial number of SI edges

SS0 number

initial number of SS edges

n integer

(common) degree of nodes.

tau positive float

transmission rate

gamma number

recovery rate

tmin number (default 0)

minimum report time

tmax number (default 100)

maximum report time

tcount integer (default 1001)

number of reports

return_full_data boolean

tells whether to just return times, S, I or all calculated data.

Returns:

if return_full_data is True:

t, S, I, SI, SS, II

if return_full_data is False:

t, S, I

SAMPLE USE:

import networkx as nx
import EoN
S0 = 990
I0 = 10
SI0 = 50
SS0 = 4900
n = 5
tau = 1
gamma = 2
t, S, I = EoN.SIS_homogeneous_pairwise(S0, I0, SI0, SS0, n, tau, gamma,
                                        tmax = 20)