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

Yanan Zhao, Daqing Jiang and O’Regan, Donal

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 4916-4927

Abstract: 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.

Keywords: Stochastic SIS epidemic model; Vaccination; Threshold; Extinction; Persistence (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (31)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:4916-4927

DOI: 10.1016/j.physa.2013.06.009

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