一类具有追踪隔离及媒体效应的SEQIR传染病模型动力学分析
A Class of SEQIR Infectious Disease Models with Tracking Isolation Rate and Media Effect
罗颜涛 1闫玉平 1郭序帆 1洪海明1
作者信息
- 1. 新疆大学数学与系统科学学院,新疆乌鲁木齐 830046
- 折叠
摘要
为了研究追踪隔离以及媒体效应对疾病传播的影响,基于经典的SIR传染病模型,建立了一类具有追踪隔离及媒体效应的SEQIR传染病模型.利用下代矩阵方法给出了模型的基本再生数R.,基于R.给出模型无病平衡点以及地方病平衡点的存在性.当R0＜1时,无病平衡点是全局渐近稳定的;当R0＞1时,模型存在唯一的地方病平衡点,利用数值模拟得到了地方病平衡点的全局渐近稳定性.借助数值模拟,分析了追踪隔离以及媒体效应对疾病传播的影响,提高媒体报道中相关信息的准确率,可以提高染病者的追踪隔离率,减少感染人数,从而控制疾病的传播.
Abstract
In order to study the impact of tracking isolation and media effect on disease transmission,a class of SEQIR infectious disease model with tracking isolation and media effect is developed based on the classical SIR infectious disease model.Firstly,the basic regeneration number R0 of the model is given by the next-generation matrix method,and the existence of the disease-free equilibrium point and the en-demic equilibrium point of the model is given based on the basic regeneration number R0.When R0＜1,the disease-free equilibrium point is global asymptotically stable,and when R0＞1,the model has a unique endemic equilibrium point,and the global asymptotic stability of the endemic equilibrium point is ob-tained by numerical simulation.Finally,with the help of numerical simulation,the effects of tracking iso-lation and media effects on disease transmission are analyzed.
关键词
SEQIR模型/稳定性/媒体效应/追踪隔离/敏感性分析Key words
SEQIR model/stability/media effects/tracking isolation/sensitivity analysis引用本文复制引用
出版年
2024
NETL
NSTL
万方数据