论文标题
流行感染的物流SIS模型的准平台分布的近似
Approximations of the Quasi-Stationary Distribution of a Logistic SIS Model for Endemic Infections
论文作者
论文摘要
logistic SIS模型的准平台分布（QSD）的近似值进行数值评估。结果用于得出大人群的近似误差的渐近近似。我们特别表明，有两个近似值高于阈值，其近似误差指数较小。这些近似值之一已经知道了一段时间，而另一个是新的。这两个近似值中的较旧的近似值的结果是指数级的小近似误差是新的。
Errors of approximations of the quasi-stationary distribution (the QSD) of the logistic SIS model are evaluated numerically. The results are used to derive asymptotic approximations of the approximation errors for large populations. We show in particular that there are two approximations above threshold for which the approximation errors are exponentially small. One of these approximations has been known for some time, while the other one is new. The result that the older one of these two approximations has an exponentially small approximation error is new.
