Asymptotic behavior of global positive solution to a stochastic SIR model

作者：Jiang, Daqing^*; Yu, Jiajia; Ji, Chunyan; Shi, Ningzhong

来源：Mathematical and Computer Modelling, 2011, 54(1-2): 221-232.

DOI：10.1016/j.mcm.2011.02.004

• Stochastic SIR model
• Brownian motion
• Ito's formula
• Global positive solution
• Asymptotic behavior

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.

• 出版日期2011-7
• 单位常熟理工学院; 东北师范大学; 哈尔滨工业大学