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WKB theory of epidemic fade-out in stochastic populations

Baruch Meerson and Pavel V. Sasorov
Phys. Rev. E 80, 041130 – Published 27 October 2009

Abstract

Stochastic effects may cause “fade-out” of an infectious disease in a population immediately after an epidemic outbreak. We evaluate the epidemic fade-out probability by a WKB method and find that the most probable path to extinction of the disease comes from an instantonlike orbit in the phase space of an underlying Hamiltonian flow.

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  • Received 25 June 2009

DOI:https://doi.org/10.1103/PhysRevE.80.041130

©2009 American Physical Society

Authors & Affiliations

Baruch Meerson1 and Pavel V. Sasorov2

  • 1Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
  • 2Institute of Theoretical and Experimental Physics, Moscow 117218, Russia

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Issue

Vol. 80, Iss. 4 — October 2009

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