流行病学数学模型中的反应-扩散方程

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-11-07 DOI:10.3390/sym15112025

Vasyl’ Davydovych, Vasyl’ Dutka, Roman Cherniha

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引用次数: 0

摘要

这篇综述专门分析了用于描述流行病过程的数学模型。我们的主要重点是基于偏微分方程(PDEs)的模型，特别是那些已开发并用于COVID-19大流行建模的模型。我们最关注的是那些既有数值模拟结果又有分析结果的研究。特别讨论了具有控制偏微分方程(典型的反应扩散方程)的流行病模型的行前(波)、精确解和关键流行病参数的估计。该综述可作为流行病学数学建模领域的研究人员和实践者的宝贵资源。

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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Reaction–Diffusion Equations in Mathematical Models Arising in Epidemiology

The review is devoted to an analysis of mathematical models used for describing epidemic processes. Our main focus is on the models that are based on partial differential equations (PDEs), especially those that were developed and used for the COVID-19 pandemic modeling. Most of our attention is given to the studies in which not only results of numerical simulations are presented but analytical results as well. In particular, traveling fronts (waves), exact solutions, and the estimation of key epidemic parameters of the epidemic models with governing PDEs (typically reaction–diffusion equations) are discussed. The review may serve as a valuable resource for researchers and practitioners in the field of mathematical modeling in epidemiology.

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.