Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-03-04 DOI:10.1515/ijnsns-2021-0263

H. Miao, Meiyan Jiao

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Abstract

Abstract In this paper, the dynamical behaviors of a multiple delayed HIV-1 infection model which describes the interactions of humoral, cytotoxic T lymphocyte (CTL) immune responses, and two modes of transmission that are the classical virus-to-cell infection and the direct cell-to-cell transmission are investigated. The model incorporates three delays, including the delays of cell infection, virus production and activation of immune response. We first prove the well-posedness of the model, and calculate the biological existence of equilibria and the reproduction numbers, which contain virus infection, humoral immune response, CTL immune response, CTL immune competition, and humoral immune competition. Further, the threshold conditions for the local and global stability of the equilibria for infection-free, immune-free, antibody response, CTL response, and interior are established by utilizing linearization method and the Lyapunov functionals. The existence of Hopf bifurcation with immune delay as a bifurcation parameter is investigated by using the bifurcation theory. Numerical simulations are carried out to illustrate the theoretical results and reveal the effects of some key parameters on viral dynamics.

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HIV-1模型的阈值动力学，包括病毒到细胞和细胞到细胞的传播、免疫反应和三次延迟

摘要本文研究了HIV-1多重延迟感染模型的动力学行为，该模型描述了体液、细胞毒性T淋巴细胞(CTL)免疫反应的相互作用，以及经典病毒-细胞感染和直接细胞-细胞传播两种传播模式。该模型包含三种延迟，包括细胞感染延迟、病毒产生延迟和免疫反应激活延迟。首先证明了模型的适定性，并计算了包含病毒感染、体液免疫应答、CTL免疫应答、CTL免疫竞争和体液免疫竞争的平衡的生物存在性和繁殖数。利用线性化方法和Lyapunov泛函建立了无感染、无免疫、抗体反应、CTL反应和内部平衡的局部和全局稳定性的阈值条件。利用分岔理论，研究了以免疫延迟为分岔参数的Hopf分岔的存在性。数值模拟验证了理论结果，揭示了一些关键参数对病毒动力学的影响。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.