To model the evolution of diseases with extended latency periods and the presence of asymptomatic patients like COVID-19, we define a simple discrete time stochastic SIR-type epidemic model. We include both latent periods as well as the presence of quarantine areas, to capture the evolutionary dynamics of such diseases.

中文翻译：

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COVID-19疾病的随机流行病模型

为了模拟潜伏期延长和无症状患者（例如COVID-19）的疾病演变，我们定义了一个简单的离散时间随机SIR型流行病模型。我们包括潜伏期以及隔离区的存在，以捕获此类疾病的进化动态。