ISSN Print: 2381-1218  ISSN Online: 2381-1226
Computational and Applied Mathematics Journal  
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Almost Sure Permanence of Stochastic SIR Epidemic Model
Computational and Applied Mathematics Journal
Vol.1 , No. 5, Publication Date: Oct. 16, 2015, Page: 393-400
1455 Views Since October 16, 2015, 606 Downloads Since Oct. 16, 2015
 
 
Authors
 
[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.

 
Abstract
 

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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