Vol.1 , No. 5, Publication Date: Oct. 16, 2015, Page: 393-400
[1] | Shaobin Rao, Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan, China. |
[2] | Xiaorong Gan, Kunming University of Science and Technology, City College, Kunming, China. |
In this paper, we consider a non-autonomous stochastic SIR epidemic model. Some new sufficient conditions which guarantee the permanence of the stochastic epidemic model are obtained. The results in this paper imply that the intensity of white noise has no effect on the permanence of the infective and the removed class of system.
Keywords
Almost Sure Permanence, Epidemic Model, Brownian Motion, Sir, ItˆO Formula
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