In this paper, we are concerned with stochastic susceptible-exposed-infected-removed epidemics on complete graphs with vertex-dependent transition rates. Large and moderate deviations of empirical density fields of our models are given. Proofs of our main results utilize exponential martingale strategies. In the proof of the moderate deviation principle, we introduce an iteration approach to check the exponential tightness of scaled density fields of our processes. As an application of our main results, moderate deviations of a family of hitting times of our processes are also given.

中文翻译：

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具有顶点相关转移率的随机 Seir 流行病经验密度场的大偏差和中偏差

在本文中，我们关注具有顶点依赖转移率的完整图上的随机易感者-暴露-感染-移除流行病。给出了我们模型的经验密度场的大偏差和中偏差。我们的主要结果的证明利用指数鞅策略。在证明适度偏差原理时，我们引入了一种迭代方法来检查过程的缩放密度场的指数紧密性。作为我们主要结果的应用，还给出了我们过程的一系列命中时间的适度偏差。