Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay

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成果类型：

期刊论文

作者：

Liao, Maoxin;Liu, Yanjin*;Liu, Shinan;Meyad, Ali M.

通讯作者：

Liu, Yanjin

作者机构：

[Liu, Shinan; Liao, Maoxin; Liu, Yanjin] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.

[Meyad, Ali M.] Southwestern Univ Finance & Econ, Sch Publ Finance & Taxat, Chengdu, Peoples R China.

通讯机构：

[Liu, Yanjin] U

Univ South China, Sch Math & Phys, Hengyang, Peoples R China.

语种：

英文

关键词：

34K20;34K60;92B05;92D30;HIV-1 model;Hopf bifurcation;Stability;immune delay

期刊：

Journal of Biological Dynamics

ISSN：

1751-3758

年：

2022

卷：

期：

页码：

397-411

DOI：

10.1080/17513758.2021.1895334

基金类别：

Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2020JJ4516]; Education Department of Hunan Province [17A181]; Hunan Key Laboratory of Mathematical Modeling and Scientific Computing [2019]

机构署名：

本校为第一且通讯机构

院系归属：

数理学院

摘要：

This paper aims to analyse stability and Hopf bifurcation of the HIV-1 model with immune delay under the functional response of the Holling II type. The global stability analysis has been considered by Lyapunov–LaSalle theorem. And stability and the sufficient condition for the existence of Hopf Bifurcation of the infected equilibrium of the HIV-1 model with immune response are also studied. Some numerical simulations verify the above results. Finally, we propose a novel three dimension system to the future study. © 2021 The Author(s)...

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Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay

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