In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R 0 . When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations. MSC:34F05, 37H10, 60H10, 92D25, 92D30.
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Pang et al. (2014) studied this question.
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