期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 54, 期 1-2, 页码 221-232出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.02.004
关键词
Stochastic SIR model; Brownian motion; Ito's formula; Global positive solution; Asymptotic behavior
类别
资金
- Ministry of Education of China [109051]
- Ph.D. Programs Foundation of Ministry of China [200918]
- Key Laboratory for Applied Statistics of MOE(KLAS)
- Scientific Research Foundation of Harbin Institute of Technology at Weihai [HIT(WH)XBQD201019]
- Ministry of Education of China [109051]
- Ph.D. Programs Foundation of Ministry of China [200918]
- Key Laboratory for Applied Statistics of MOE(KLAS)
- Scientific Research Foundation of Harbin Institute of Technology at Weihai [HIT(WH)XBQD201019]
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. (C) 2011 Elsevier Ltd. All rights reserved.
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