Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence. (English) Zbl 1402.92396
Summary: The present paper studies a stochastic SIRS epidemic model with general incidence rate in a population of varying size. Sufficient conditions for the extinction and the existence of a unique stationary distribution are obtained. The analytical results are illustrated by computer simulations.
MSC:
| 92D30 | Epidemiology |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
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