具有政府政策的随机状态切换传输模型的动力学分析

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-27 DOI:10.1016/j.aml.2025.109771

Hongjie Fan , Kai Wang , Yanling Zhu

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引用次数: 0

摘要

本文提出并研究了一个具有马尔可夫状态切换的随机SEQIR流行病模型。政府政策及其执行效率由一个易受影响阶层的广义关联函数来体现。利用Lyapunov方法，我们证明了随机模型全局正解的存在唯一性。此外，我们还分析了疾病的动力学行为，并推导了其灭绝和平均持续的充分条件。最后通过数值模拟对理论结果进行了验证。

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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Dynamics analysis of a stochastic regime-switching transmission model with governmental policy

In this paper, we propose and investigate a stochastic SEQIR epidemic model with Markovian regime-switching. Governmental policies and their implementation efficiency are incorporated by a generalized incidence function of the susceptible class. Using the Lyapunov method, we illustrate the existence and uniqueness of the globally positive solution to the stochastic model. Furthermore, we also analyze the dynamical behaviors of the disease, and derive sufficient conditions for its extinction and persistence in mean. Finally, numerical simulations are presented to verify the theoretical findings.

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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.