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

Nonequilibrium statistical mechanics of a susceptible-infected-recovered epidemic model 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

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

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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.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1539-3755
eISSN
550-2376
D.O.I.
10.1103/PhysRevE.96.022404
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Aug 9, 2017

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