在媒体报道和资源有限的情况下分析 COVID-19 模型。

IF 2.6 4区工程技术 Q1 Mathematics

Mathematical Biosciences and Engineering Pub Date : 2024-03-06 DOI:10.3934/mbe.2024233

Tao Chen, Zhiming Li, Ge Zhang

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引用次数: 0

摘要

新型冠状病毒病（COVID-19）大流行对全球经济和人类健康产生了深远影响。本文主要提出了一种改进的易感-暴露-感染-康复（SEIR）流行病模型，利用媒体报道和有限的医疗资源来研究 COVID-19 的传播。我们证明了解的实在性和有界性。我们研究了均衡点的存在性和局部渐近稳定性，并建立了反向分岔的充分标准。此外，我们应用所提出的模型研究了 2022 年 3 月至 4 月中国上海 COVID-19 的趋势。结果显示了 COVID-19 模型中的敏感性分析、分岔以及关键参数的影响。

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Analysis of a COVID-19 model with media coverage and limited resources.

The novel coronavirus disease (COVID-19) pandemic has profoundly impacted the global economy and human health. The paper mainly proposed an improved susceptible-exposed-infected-recovered (SEIR) epidemic model with media coverage and limited medical resources to investigate the spread of COVID-19. We proved the positivity and boundedness of the solution. The existence and local asymptotically stability of equilibria were studied and a sufficient criterion was established for backward bifurcation. Further, we applied the proposed model to study the trend of COVID-19 in Shanghai, China, from March to April 2022. The results showed sensitivity analysis, bifurcation, and the effects of critical parameters in the COVID-19 model.

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来源期刊

Mathematical Biosciences and Engineering 工程技术-数学跨学科应用

CiteScore

3.90

自引率

7.70%

发文量

586

审稿时长

>12 weeks

期刊介绍： Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).