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The stochastic SIV epidemic model with varying coefficient and time delay. (Chinese. English summary) Zbl 1374.92148

Summary: In this paper, a stochastic SIV epidemic model with varying coefficients and time delay is studied. It is first proved that there exists a unique globally positive solution. Sufficient conditions for the disease extinction almost surely are then given by the semimartingale convergence theorem.

MSC:

92D30 Epidemiology
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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