Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay

IF 1.9 3区数学 Q1 MATHEMATICS Qualitative Theory of Dynamical Systems Pub Date : 2023-12-08 DOI:10.1007/s12346-023-00903-y

Jingdong Wei, Jiahe Li, Jiangbo Zhou

引用次数: 0

Abstract

Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a discrete diffusion susceptible-infected-recovered (SIR) epidemic model with delay. This result is a sufficient condition to obtain the limit behavior of traveling wave solutions at far fields. Meanwhile, the present results improve our recent work.

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有延迟的离散扩散模型中行进波的有界性

本文运用一些经典分析方法，建立了具有延迟的离散扩散易感-感染-恢复（SIR）流行病模型的行波解的 R 分量的全局有界性。这一结果是获得行波解在远场极限行为的充分条件。同时，本结果改进了我们最近的工作。

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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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.

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