The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence

Dianli Zhao, Tiansi Zhang and Sanling Yuan

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 372-379

Abstract: A stochastic version of the SIS epidemic model with vaccination (SIVS) is studied. When the noise is small, the threshold parameter is identified, which determines the extinction and persistence of the epidemic. Besides, the results show that large noise will suppress the epidemic from prevailing regardless of the saturated incidence. The results are illustrated by computer simulations.

Keywords: Stochastic SIVS epidemic model; Saturated incidence; Threshold; Persistence; Extinction (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:372-379

DOI: 10.1016/j.physa.2015.09.092

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