动力学SIR方程和粒子极限

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-02-15 DOI:10.4171/RLM/937

A. Ciallella, M. Pulvirenti, S. Simonella

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引用次数: 5

摘要

我们提出并分析了两个简单的$N$粒子-粒子系统，分别具有二元和多体相互作用，用于感染的传播。我们建立了一组动力学方程的收敛结果，即$N\to\infty$，为相关数值格式提供了数学依据。我们严格分析了这些方程的时间渐近性，并对模型进行了数值比较。

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Kinetic SIR equations and particle limits

We present and analyze two simple $N$-particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergence result, as $N \to \infty$, to a set of kinetic equations, providing a mathematical justification of related numerical schemes. We analyze rigorously the time asymptotics of these equations, and compare the models numerically.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.