Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response.

IF 1.8 4区 数学 Q3 ECOLOGY Journal of Biological Dynamics Pub Date : 2021-12-01 DOI:10.1080/17513758.2021.1950224
Xinsheng Ma, Yuhuai Zhang, Yuming Chen
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引用次数: 3

Abstract

In this paper, with eclipse stage in consideration, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection reproduction number R0 and the basic immunity reproduction number R1. The local stability analysis indicates the occurrence of transcritical bifurcations of equilibria. We confirm the bifurcations at the disease-free equilibrium and the infected immune-free equilibrium with transmission rate and the decay rate of CTLs as bifurcation parameters, respectively. Then we apply the approach of Lyapunov functions to establish the global stability of the equilibria, which is determined by the two basic reproduction numbers. These theoretical results are supported with numerical simulations. Moreover, we also identify the high sensitivity parameters by carrying out the sensitivity analysis of the two basic reproduction numbers to the model parameters.

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具有一般发病率和CTL免疫应答的HIV-1感染模型的稳定性和分岔分析。
在本文中,考虑到日食阶段,我们提出了一个具有一般发病率和CTL免疫反应的HIV-1感染模型。首先研究了以基本感染繁殖数R0和基本免疫繁殖数R1为特征的平衡点的存在性和局部稳定性。局部稳定性分析表明平衡点存在跨临界分岔。我们分别以ctl的传播率和衰变率作为分岔参数,确定了无病平衡和受感染免疫平衡的分岔。然后应用Lyapunov函数的方法,建立了由两个基本繁殖数决定的平衡点的全局稳定性。这些理论结果得到了数值模拟的支持。此外,我们还通过对两个基本再现数对模型参数的敏感性分析,确定了高灵敏度参数。
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来源期刊
Journal of Biological Dynamics
Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY
CiteScore
4.90
自引率
3.60%
发文量
28
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.
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