Stochastic dynamics on HBV infection in vivo with interval delay

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-25 DOI:10.1016/j.aml.2024.109234

Haonan Zhong , Chenxi Dai , Kaifa Wang

引用次数: 0

Abstract

Because noise is ubiquitous within-host, a stochastic dynamical system with interval delay is proposed to model the dynamics of HBV infection in vivo. The global existence and nonnegativity of the solutions are established. Virus extinction conditions are derived, under which the asymptotic properties of the virus-free equilibrium are proved, and the persistence conditions are obtained. Finally, numerical simulations are performed to examine the influence of noise on the Hopf bifurcation resulting from the delay parameters in the interval delay.

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带有间隔延迟的 HBV 体内感染随机动力学

由于噪声在宿主体内无处不在，因此我们提出了一个具有区间延迟的随机动力系统来模拟体内 HBV 感染的动态过程。确定了解的全局存在性和非负性。推导了病毒灭绝条件，证明了无病毒平衡的渐近特性，并得到了持续条件。最后，通过数值模拟研究了噪声对区间延迟参数导致的霍普夫分岔的影响。

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.