The threshold of a stochastic SIQS epidemic model

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作者
Yanni Pang
Yuecai Han
Wenjin Li
机构
[1] Jilin University,School of Mathematics
[2] Jilin University of Finance and Economics,School of Applied Mathematics
关键词
stochastic SIQS epidemic model; extinction; persistence; threshold;
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摘要
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 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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