考虑死亡因素和不同时段接触数的COVID-19动态SEIR模型
SEIR Model for COVID-19 Dynamics Considering Death Factor and Contact Numbers in Different Periods
DOI: 10.12677/AAM.2021.106196, PDF,    科研立项经费支持
作者: 张儆轩：宁夏大学物理与电子电气工程学院，宁夏 银川；于 洁, 赵秉新*：宁夏大学数学统计学院，宁夏 银川
关键词: COVID-19；SEIR模型；全局稳定性；相轨线；基本再生数；COVID-19； SEIR Model； Global Stability； Phase Trajectory； Basic Regeneration Number
摘要: 目前新型冠状病毒肺炎(COVID-19)仍在全球大面积蔓延，对公众健康构成严重威胁，疫情防控形式依然严峻。通过构建合理的数学模型，可以科学地预测传染病在不同地区的发展趋势并对发展阶段进行合理的评估，具有重要的现实意义。本文建立了考虑死亡因素和不同时段接触数的SEIR模型，对模型作了平衡点的稳定性分析，并利用美国纽约州疫情数据进行验证，模型预测结果与实际情况吻合的很好，表明模型具有较好的预测能力。此外，根据基本再生数R0的特点，给出了一个判断疫情能否稳定的判据，通过降低人口流动以及人群的接触率可以较好地控制疫情。
Abstract: Coronavirus disease 2019 (COVID-19) is spreading in large areas worldwide and poses a serious public health risk. Epidemic prevention is still a great challenge. By using a reasonable mathematical model, we can scientifically predict the trend of infectious diseases in different regions and make reasonable assessment of the development stage, which is of great significance. In this paper, a SEIR model for COVID-19 dynamics considering death factors and the number of contacts in different periods is presented. The stability of the equilibrium point of the model is analyzed and verified by using the epidemic data of New York state of the United States. The prediction results of the model are in good agreement with the actual situation, indicating that the model has good prediction ability. In addition, according to the characteristics of the basic reproduction number R0, we give a criterion to judge whether the epidemic situation is stable. The epidemic situation can be well controlled by reducing population mobility and contact rate.
文章引用：张儆轩, 于洁, 赵秉新. 考虑死亡因素和不同时段接触数的COVID-19动态SEIR模型[J]. 应用数学进展, 2021, 10(6): 1871-1879. https://doi.org/10.12677/AAM.2021.106196

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