顶点依赖转换率的随机 Seir 流行病经验密度场的大偏差和中偏差

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-09 DOI:10.1007/s11118-024-10133-9

Xiaofeng Xue, Xueting Yin

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引用次数: 0

摘要

在本文中，我们关注的是完整图上的随机易感-暴露-感染-移除流行病，其转换率取决于顶点。本文给出了我们模型的经验密度场的大偏差和中等偏差。我们主要结果的证明采用了指数马丁格尔策略。在中等偏差原理的证明中，我们引入了一种迭代方法来检查我们过程的缩放密度场的指数紧密性。作为我们主要结果的一个应用，我们还给出了我们过程的一系列命中时间的适度偏差。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large and Moderate Deviations for Empirical Density Fields of Stochastic Seir Epidemics with Vertex-Dependent Transition Rates

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.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.