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研究具有潜伏期的新型冠状病毒，基于已有的SEIR传染病模型，建立以潜伏期为时滞的参数方程。首先，对改进的SEIR传染病模型的平衡点进行存在性与稳定性分析；然后，利用规范型理论和中心流形定理，推导出Hopf分支方向，探究时滞参数的变化对于系统稳定性的影响；最后，利用Matlab进行数值模拟进而验证结论的正确性。
Abstract：This paper studies the COVID-19 with latency based on the existing SEIR epidemic model to establish the parameter equation with latency as the delay. Firstly, it conducts existence and stability analysis on the equilibrium point of the improved SEIR infectious disease model. Then, by using the canonical theory and the central manifold theorem, it derives the Hopf branch direction to explore the impact of changes in delay parameters on system stability. Finally, it conducts numerical simulations by using Matlab to verify the correctness of the conclusions.
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基本信息:
DOI：
中图分类号:R181;O175
引用信息:
[1]吕堂红,孙艺致.具有时滞的COVID-19 SEIR模型的Hopf分支分析[J].湖北师范大学学报(自然科学版),2025,45(04):7-15.
基金信息:
吉林省教育厅科学技术研究项目(JJKH20240891KJ)