应用数学2025，Vol.38Issue(2)：435-445,11.
具有媒体效应和年龄结构的SEIQR传染病模型
SEIQR Infectious Disease Model with Media Effects and Age Structure
摘要
Abstract
We discuss a class of SEIQR infectious disease models with media effects and age struc-tures.The expression for the basic regeneration number R0 is obtained.We prove that when R0＜1,the disease-free equilibrium is globally asymptotically stable.Conversely,when R0＞1,the disease-free equilibrium is unstable.At this time,the system has a unique endemic equilibrium point and is locally asymptotically stable.Numerical simulations show that increasing the intensity of media broadcasting not only reduces the peak of the outbreak,but also shortens the duration of the epidemic.关键词
年龄结构/媒体效应/基本再生数/数值模拟Key words
Age structure/Media effect/Basic reproduction number/Numerical simulation分类
数理科学引用本文复制引用
史旭元,高红亮..具有媒体效应和年龄结构的SEIQR传染病模型[J].应用数学,2025,38(2):435-445,11.基金项目
国家自然科学基金资助项目(11961039) （11961039）
甘肃省高等学校青年博士项目(2022QB-056) （2022QB-056）
