年龄结构流行病模型稳定性的一个新的积分不等式

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-05-10 DOI:10.1016/j.aml.2025.109598

Jianquan Li , Yuming Chen , Fengqin Zhang , Peijun Zhang

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引用次数: 0

摘要

本文基于一个新的积分不等式和Lyapunov直接方法，提出了一种确定年龄结构流行病模型地方性稳态全局稳定性的系统方法。该不等式为验证Lyapunov候选泛函导数的负（半）确定性提供了方便。用两个年龄结构的SI和SEI模型说明了这种方法的适用性。

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A novel integral inequality for stability of age-structured epidemic models

In this paper, based on a novel integral inequality and the Lyapunov direct method, we propose a systematic approach to determining the global stability of the endemic steady states of age-structured epidemic models. The inequality makes it convenient to verify the negative (semi-)definiteness of the derivative of a Lyapunov functional candidate. The applicability of this approach is illustrated with two age-structured SI and SEI models.

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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.