双时滞HBV模型的稳定性和局部Hopf分岔性质

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2023-07-10 DOI:10.1007/s40995-023-01482-y

Hongzheng Quan, Xiao Yan, Xueyong Zhou

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引用次数: 0

摘要

本文研究了具有两个时滞的乙型肝炎病毒(HBV)感染的数学模型，该模型考虑了细胞毒性T淋巴细胞(CTL)免疫应答中溶解机制和非溶解机制的影响。首先，讨论了无感染平衡点\(E_{0}\)和无免疫平衡点\(E_{1}\)的全局渐近稳定性条件。其次，选取\(\tau _{1}\)和\(\tau _{2}\)作为分岔参数，建立了关于\(\tau _{1}\)和\(\tau _{2}\)的局部稳定性和Hopf分岔存在的充分条件。最后，通过仿真算例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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Properties of Stability and Local Hopf Bifurcation for an HBV Model with Two Delays

This paper studies a mathematical model of Hepatitis B Virus (HBV) infection with two time delays, which considers the effect of lytic and non-lytic mechanisms in the Cytotoxic T Lymphocyte (CTL) immune response. First, global asymptotic stability conditions of the infection-free equilibrium point \(E_{0}\) and the immune-free equilibrium point \(E_{1}\) are discussed. Next, by choosing \(\tau _{1}\) and \(\tau _{2}\) as the bifurcation parameter, sufficient conditions for the local stability and the existence of Hopf bifurcation with respect to \(\tau _{1}\) and \(\tau _{2}\) are established. Last, a simulation example is employed to illustrate the proposed theoretical results.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences