地方病Logistic SIS模型拟平稳分布的逼近
Approximations of the Quasi-Stationary Distribution of a Logistic SIS Model for Endemic Infections
摘要：
对Logistic SIS模型的准平稳分布（QSD）的近似误差进行了数值计算。结果被用来获得大人口的近似误差的渐近近似。我们特别表明，有两个近似阈值以上的近似误差是指数小。其中一个近似值已知已有一段时间，而另一个是新的。这两个近似中较老的一个具有指数小的近似误差的结果是新的。
英文摘要：
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.
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