关于随机扰动SIS模型基本再生数不变性的注记
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models
摘要：
本文利用Wong-Zakai近似论证了文[2]中提出的易受感染的（SIS）随机微分方程。我们发现，根据这种方法，要考虑的“正确”随机模型应该是[2]中分析的伊藤方程的Stratonovich版本。令人惊讶的是，该替代模型呈现出以下功能：表征解的两个不同渐近状态的门限值与描述经典SIS确定性方程的门限值一致。
英文摘要：
We try to justify rigorously, using a Wong-Zakai approximation argument, the susceptible-infected-susceptible (SIS) stochastic differential equation proposed in [2]. We discover that according to this approach the "right" stochastic model to be considered should be the Stratonovich version of the Itô equation analyzed in [2]. Surprisingly, this alternative model presents the following feature: the threshold value characterizing the two different asymptotic regimes of the solution coincides with the one describing the classical SIS deterministic equation.
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