Asymptotic behavior of global positive solution to a stochastic SIR model

Authors:
Daqing Jiang;Jiajia Yu;Chunyan Ji;Ningzhong Shi
Affiliations:
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China;School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China and Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, PR Chin ...;School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China and School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Ji ...;School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

In this paper, we explore a stochastic SIR model and show that this model has a unique global positive solution. Furthermore, we investigate the asymptotic behavior of this solution. Finally, numerical simulations are presented to illustrate our mathematical findings.