高师理科学刊2025，Vol.45Issue(4)：1-8,8.DOI:10.3969/j.issn.1007-9831.2025.04.001
一类潜伏期和染病期均传染的SEIQR传染病模型的稳定性
Stability of a SEIQR epidemic model with infectious in incubation period and infection period
摘要
Abstract
A SEIQR epidemic model with double linear infection rate in incubation period and saturating infection rate in infection period was established,and the basic regeneration number of the model is defined.The stability of the disease-free equilibrium point and the local equilibrium point is proved by LaSalle principle and the second additive composite matrix.The correctness of the conclusion is verified by numerical simulation and the influence of isolation strategy on disease transmission is discussed,which provides a useful reference for the formulation of actual prevention and control strategies.关键词
传染病模型/稳定性/平衡点Key words
epidemic model/stability/equilibrium point分类
数学引用本文复制引用
卜令杰,高晋芳..一类潜伏期和染病期均传染的SEIQR传染病模型的稳定性[J].高师理科学刊,2025,45(4):1-8,8.基金项目
江西省教育厅科技项目(GJJ2203115) （GJJ2203115）
河南省社科联调研课题项目(SKL-2023-1658) （SKL-2023-1658）
