class _tacoma.MARKOV_SIS

Base class for the markov integration of an SIS compartmental infection model on a temporal network. Pass this to tacoma.api.markov_SIS() to simulate and retrieve the simulation results.

__init__(self: _tacoma.MARKOV_SIS, N: int, t_simulation: float, infection_rate: float, recovery_rate: float, minimum_I: float, number_of_initially_infected: int = 1, number_of_initially_vaccinated: int = 0, sampling_dt: float = 0.0, seed: int = 0, verbose: bool = False) → None
  • N (int) – Number of nodes in the temporal network.
  • t_simulation (float) – Maximum time for the simulation to run. Can possibly be greater than the maximum time of the temporal network in which case the temporal network is looped.
  • infection_rate (float) – Infection rate per \(SI\)-link (expected number of reaction events \(SI\rightarrow II\) for a single \(SI\)-link per dimension of time).
  • recovery_rate (float) – Recovery rate per infected (expected number of reaction events \(I\rightarrow S\) for a single infected node per dimension of time).
  • minimum_I (float) – If the total sum of infection probability over all nodes is below this threshold, the disease is considered to be died out.
  • number_of_initially_infected (int, default = 1) – Number of nodes which will be in the infected compartment at \(t = t_0\). Note that the default value 1 is not an ideal initial value as fluctuations may lead to a quick end of the simulation skewing the outcome. I generally recommend to use a number of the order of \(N/2\).
  • number_of_initially_vaccinated (int, default = 0) – Number of nodes which will be in the recovered compartment at \(t = t_0\).
  • sampling_dt (float, default = 0.0) – If this is >0.0, save observables roughly every sampling_dt instead of on every change.
  • seed (int, default = 0) – Seed for RNG initialization. If this is 0, the seed will be initialized randomly.
  • verbose (bool, default = False) – Be talkative.


__init__(self, N, t_simulation, …)
param N:Number of nodes in the temporal network.


I A list containing accumulated probability to be infected at time \(t\).
R0 A list containing the basic reproduction number defined as \(R_0(t) = \eta\left\langle k \right\rangle(t) / \rho\) where \(\eta\) is the infection rate per link and \(\rho\) is the recovery rate per node.
t_simulation Absolute run time of the simulation.
time A list containing the time points at which one or more of the observables changed.