Kinetic SIR equations and particle limits

IF 0.6 4区 数学 Q3 MATHEMATICS
A. Ciallella, M. Pulvirenti, S. Simonella
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引用次数: 5

Abstract

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.
动力学SIR方程和粒子极限
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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来源期刊
Rendiconti Lincei-Matematica e Applicazioni
Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
1.30
自引率
0.00%
发文量
27
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.
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