具有年龄结构和时滞的SEIRS模型的HOPF分支

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-26 DOI:10.1142/s0218339023500122

Hui Cao, Mengmeng Han, Junyuan Yang, Lili Liu, Haiyan Li

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引用次数: 0

摘要

年龄结构和延迟在决定疾病的动态中起着重要作用。研究了具有年龄结构和时滞的SEIRS流行病模型，该模型考虑了获得性免疫的损失和时滞。通过严密的分析，得出了模型基本再现数的显式公式，并给出了模型平衡点稳定性和不稳定性的一些结果。研究结果表明，年龄结构和延迟可以产生SEIRS模型的Hopf分岔。通过数值算例对理论结果进行了验证。

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HOPF BIFURCATION OF AN SEIRS MODEL WITH AGE STRUCTURE AND TIME DELAY

Age structure and delay play a significant role in determining the dynamics of the diseases. In this paper, an SEIRS epidemic model with age structure and time delay is investigated, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. The findings show that the age structure and delay can produce Hopf bifurcation for an SEIRS model. The numerical examples are executed 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.