Properties of Stability and Local Hopf Bifurcation for an HBV Model with Two Delays

被引：1

作者：

Quan, Hongzheng ^{[1
]}

Yan, Xiao ^{[1
,2
]}

Zhou, Xueyong ^{[3
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Heze Univ, Sch Math & Stat, Heze 274015, Shandong, Peoples R China

[3] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China

来源：

IRANIAN JOURNAL OF SCIENCE | 2023年 / 47卷 / 04期

关键词：

HBV infection; Time delay; Stability; Hopf bifurcation; VIRUS-INFECTION MODEL; MATHEMATICAL-ANALYSIS; IMMUNE; DYNAMICS;

D O I：

10.1007/s40995-023-01482-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 t(1) and t(2) as the bifurcation parameter, sufficient conditions for the local stability and the existence of Hopf bifurcation with respect to t(1) and t(2) are established. Last, a simulation example is employed to illustrate the proposed theoretical results.

引用

页码：1245 / 1260

页数：16

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