Long-time behavior of the heterogeneous SIRS epidemiological model

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-06-06 DOI:10.1016/j.na.2025.113867

Romain Ducasse, Maxime Laborde

引用次数: 0

Abstract

We study the long-time behavior of solutions of the SIRS model, a reaction–diffusion system that appears in epidemiology to describe the spread of epidemics. We allow the system to be heterogeneous periodic. Under some hypotheses on the coefficients, we prove that the solutions converge to an equilibrium that we identify and establish some estimates on the speed of propagation.

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异质SIRS流行病学模型的长期行为

我们研究了SIRS模型解的长期行为，SIRS模型是一种在流行病学中用来描述流行病传播的反应-扩散系统。我们允许系统是异构周期的。在一些关于系数的假设下，我们证明了解收敛于我们所识别的平衡点，并建立了一些关于传播速度的估计。

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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.