The extinction and persistence of the stochastic SIS epidemic model with vaccination

In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.

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Year of publication:	2013
Authors:	Zhao, Yanan ; Jiang, Daqing ; O’Regan, Donal
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 20, p. 4916-4927
Publisher:	Elsevier
Subject:	Stochastic SIS epidemic model \| Vaccination \| Threshold \| Extinction \| Persistence

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010742334