Asymptotic behavior of a stochastic epidemic model with nonlinear rate

摘要：

In this paper a stochastic SIR model with nonlinear rate are proposed. The asymptotic behavior of the stochastic SIR model is investigated, and the results show that the introduction of the noise modifies the threshold of system for an epidemic to occur and numerical simulations are performed to illustrate the analytical results.

关键词： Stochastic model SIR Nonlinear rate Stability

作者: Maoxing Liu Zhen Jin

作者单位: Department of Mathematics,North University of China,Taiyuan,Shanxi Province, P. R.China,030051

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1298-1303

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）