具有对数正态Ornstein-Uhlenbeck过程的SIQRS流行病随机模型的渐近稳定性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-19 DOI:10.1016/j.aml.2025.109551

Xiao Li, Qun Liu

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引用次数: 0

摘要

在这项工作中，我们提出并分析了一个疾病传播率由对数正态Ornstein-Uhlenbeck过程驱动的SIQRS随机流行模型。通过建立一系列Lyapunov函数，我们得到了系统正平衡渐近稳定性的充分判据，这表明疾病在长期内的流行。这项工作为采取措施控制疾病动态提供了依据。

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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Asymptotical stability of a stochastic SIQRS epidemic model with log-normal Ornstein–Uhlenbeck process

In this work, we propose and analyze a stochastic SIQRS epidemic model with the disease transmission rate driven by a log-normal Ornstein–Uhlenbeck process. By establishing a series of Lyapunov functions, we derive sufficient criteria for the asymptotical stability of the positive equilibrium of the system which suggests the prevalence of the disease in the long term. This work provides a basis for taking measures to control the disease dynamics.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.