The extinction and persistence of the stochastic SIS epidemic model with vaccination |
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| Authors: | Yanan Zhao Daqing Jiang Donal O’Regan |
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| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China;2. School of Science, Changchun University, Changchun 130022, Jilin, PR China;3. Department of Mathematics, National University of Ireland, Galway, Ireland |
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| 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. |
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| Keywords: | Stochastic SIS epidemic model Vaccination Threshold Extinction Persistence |
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