A time-delayed and drug-controlled within-host model

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-17 DOI:10.1016/j.aml.2025.109558

Yue Hou , Zhimin Li , Tailei Zhang

引用次数: 0

Abstract

In this paper, we present a within-host model incorporating time delays and drug control mechanisms to study the dynamics of infectious diseases. We begin by defining the basic reproduction number,

R_{0}

, and subsequently prove that when

R_{0} < 1

, the disease-free equilibrium is globally attractive; while for

R_{0} > 1

, the disease persists uniformly. Numerical simulations are employed to validate our analytical findings.

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一个时间延迟和药物控制的宿主模型

在本文中，我们提出了一个结合时间延迟和药物控制机制的宿主内模型来研究传染病的动力学。我们首先定义基本繁殖数R0，随后证明当R0<；1时，无病平衡具有全局吸引力；而对于R0>；1，疾病持续存在。数值模拟被用来验证我们的分析结果。

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

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.