Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model

Vicenç Méndez, Daniel Campos, Werner Horsthemke

Research output: Contribution to journalArticleResearchpeer-review

21 Citations (Scopus)

Abstract

We analyze the dynamics of the susceptible-infected-susceptible epidemic model when the transmission rate displays Gaussian white noise fluctuations around its mean value. We obtain analytic expressions for the final size distribution of infectives and the mean infected number of individuals. The model displays a variety of noise-induced transitions as a function of the basic reproductive rate and the noise intensity. We derive a threshold criterion for epidemic invasion in the presence of external noise and determine the mean epidemic duration and the mean epidemic extinction time. © 2012 American Physical Society.
Original languageEnglish
Article number011919
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
DOIs
Publication statusPublished - 23 Jul 2012

Fingerprint Dive into the research topics of 'Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model'. Together they form a unique fingerprint.

Cite this