疟疾感染与免疫反应的血期动力学。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-01 Epub Date: 2021-12-22 DOI:10.1080/17513758.2021.2017033

Jian Liu, Zhiming Guo, Hongpeng Guo

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引用次数: 0

摘要

本文研究了具有扩散和延迟的疟疾感染动力学模型。得到疟疾感染的无病阈值和免疫反应阈值，分别表征无病平衡和感染平衡(有无免疫反应)的稳定性。此外，当时滞经过某一临界值τ0时，模型发生Hopf分岔时，会出现波动。在这种情况下，周期振荡出现在正稳态附近，这意味着疾病的反复发作。最后通过数值模拟对理论结果进行了验证。

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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The blood-stage dynamics of malaria infection with immune response.

This article is concerned with the dynamics of malaria infection model with diffusion and delay. The disease free threshold $ℜ_{0}$ and the immune response threshold value $ℜ_{1}$ of the malaria infection are obtained, which characterize the stability of the disease free equilibrium and infection equilibrium (with or without immune response). In addition, fluctuations occur when the model undergoes Hopf bifurcation as the delay passes through a certain critical value $τ_{0}$ . In this case, periodic oscillation appears near the positive steady state, which implies the recurrent attacks of disease. Finally, numerical simulations are provided to illustrate the theoretical results.

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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.