Nonequilibrium statistical mechanics of a susceptible-infected-recovered epidemic model.

ABSTRACT

The Liouville and stochastic Liouville equations have been investigated with respect to the susceptible-infected-recovered (SIR) epidemic model, described in terms of extended Nambu mechanics. It has been shown that, along with the equilibrium distribution functions, the Kubo formula can be derived for the SIR model, although the theory undergoes a few restrictions imposed by the nonlinear nature of the model.