异构网络上随机 SIR 流行病最终规模的渐近分布

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-26 DOI:10.1016/j.aml.2024.109317

Xiaojie Jing , Guirong Liu , Zhen Jin

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引用次数: 0

摘要

本文考虑了异构网络上的马尔可夫 SIR 模型。本文提供了大数定律和大群体中流行过程的中心极限定理。此外，还给出了最终规模的渐近分布。最后，通过数值模拟和随机模拟，可以清楚地看到我们的方法在近似方面表现良好。

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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Asymptotic distribution of the final size of a stochastic SIR epidemic on heterogeneous networks

In this paper, a Markovian SIR model on a heterogeneous network is considered. The law of large numbers and the central limit theorem of the epidemic process in a large population are provided. Further, the asymptotic distribution of the final size is given. Finally, by numerical and stochastic simulations, it is clear to show that our method performs well in approximation.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.