摘要
首先,建立一类包含无症状感染者传播模式的SEI_(1)I_(2)QR传染病模型;其次,通过下一代矩阵方法,计算该模型的基本再生数,对模型进行动力学分析,并给出传染病灭绝和爆发的阈值条件;最后,结合病例数据进行数值模拟,对模型参数进行灵敏度分析.
Firstly,we established a class of SEI_(1)I_(2)QR infectious disease models that included transmission mode of asymptomatic infected individuals.Secondly,by using the next generation matrix method,we calculated the basic reproduction number of the model,performed the dynamic analysis of the model,and gave the threshold conditions for the extinction and outbreak of infectious disease.Finally,combined with epidemic data,the sensitivity of the model parameters were analyzed through numerical simulations.
作者
徐文达
许李灿
于非凡
刘素莉
XU Wenda;XU Lican;YU Feifan;LIU Suli(College of Mathematics,Jilin University,Changchun 130012,China;School of Business Administration,Hong Kong Baptist University,Hongkong 999077,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2023年第3期443-448,共6页
Journal of Jilin University:Science Edition
基金
吉林省科技发展计划项目(批准号:20210508024RQ,20210201078GX,20210201015GX).
关键词
传染病动力学
数值模拟
基本再生数
稳定性
dynamics of infectious disease
numerical simulation
basic reproduction number
stability
