具有潜伏感染的SVEIR年龄结构传染病模型
An Age-Structured Infectious Disease Model of SVEIR with Latent Infection
摘要: 宿主的年龄是影响传染病传播与控制的重要因素，感染的风险随着年龄增长而增加。此外，疫苗接种针对不同年龄段的人群产生不同的效果。因此在本文中，在考虑疫苗接种的情况下，研究具有潜伏期感染的年龄结构SVEIR传染病模型，通过计算疾病的基本再生数R0，进一步探究无病平衡点的全局渐近稳定性、地方病平衡点的存在性以及稳定性。这些结论对控制疾病的传播具有重要的实际意义。
Abstract: The age structure of the host population is an important factor affecting the transmission and control of infectious diseases, and the risk of infection increases with age. In addition, vaccination exerts varying effects across distinct age groups. Therefore, in this paper, considering vaccination, an infectious disease model of SVEIR age structure with latent infection was studied, and the global asymptotic stability of disease-free equilibrium point, the existence and stability of endemic equilibrium point were further explored by calculating the basic reproduction number of the disease. These conclusions have important practical significance for controlling the spread of the disease.
文章引用：李淅娜. 具有潜伏感染的SVEIR年龄结构传染病模型[J]. 运筹与模糊学, 2025, 15(2): 601-609. https://doi.org/10.12677/orf.2025.152109

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