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

IF 2.7 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2022-12-01 Epub Date: 2021-03-08 DOI:10.1080/17513758.2021.1895334

Maoxin Liao, Yanjin Liu, Shinan Liu, Ali M Meyad

引用次数: 3

Abstract

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.

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具有Holling II感染率和免疫延迟的HIV-1模型的稳定性和Hopf分岔

本文旨在分析在Holling II型功能应答下具有免疫延迟的HIV-1模型的稳定性和Hopf分岔。利用Lyapunov-LaSalle定理考虑了系统的全局稳定性分析。研究了具有免疫应答的HIV-1模型感染平衡点的稳定性及Hopf分岔存在的充分条件。一些数值模拟验证了上述结果。最后，我们提出了一个新的三维系统，以供未来的研究。

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

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.