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Stability of stochastic delayed SIR model. (English) Zbl 1176.93079

Summary: A stochastic version of the SIR model is investigated in this paper. The stability in probability of the steady state of the system is proved under suitable conditions on the white noise perturbations. Linearizations of the systems both with and without delay are given and their exponentially mean square stabilities are studied.

MSC:

93E15 Stochastic stability in control theory
93E03 Stochastic systems in control theory (general)
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