4.6 Article

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

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2015.09.092

Keywords

Stochastic SIVS epidemic model; Saturated incidence; Threshold; Persistence; Extinction

Funding

  1. NSFC [11271260, 11501148]
  2. Hujiang Foundation of China [B14005]
  3. Shanghai Leading Academic Discipline Project [XTKX2012]

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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. (C) 2015 Elsevier B.V. All rights reserved.

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