AAM  >> Vol. 3 No. 3 (August 2014)

    Qualitative Analysis of a Stochastic SIR Epidemic Model with Saturated Incidence Rates

  • 全文下载: PDF(356KB) HTML    PP.127-133   DOI: 10.12677/AAM.2014.33019  
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谭 杨:铜仁职业技术学院,铜仁;

传染病模型饱和感染率高斯白噪声稳定分布Epidemic Model Saturated Incidence Rates Gaussian White Noise Stationary Distribution



A stochastically mathematical model of a stochastic SIR epidemic model with saturated incidence rates is proposed and analyzed, setting that all the death rate and incident rate are similarly per-turbed by an independent Gaussian white noise. First the paper shows that the infective population and recovered individuals will tend to zero exponentially almost surely under some additional condition. In addition, a sufficient condition for the stationary distribution around the endemic infection equilibrium state of the corresponding deterministic model is derived and the solution is ergodic.

谭杨, 郭子君. 具有饱和感染率的随机SIR传染病模型的性质分析[J]. 应用数学进展, 2014, 3(3): 127-133. http://dx.doi.org/10.12677/AAM.2014.33019


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