一类具有饱和发生率的COVID-19 SEIQR传染病模型  

A class of SEIQR epidemic model of COVID-19 with saturated incidence

作　　者：王来全[1] 夏米西努尔·阿布都热合曼[2] WANG Laiquan;XAMXINUR Abdurabman(Basic Education Branch,Changji Vocational and Technical College,Changji 831100,China;College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]昌吉职业技术学院基础教育分院,新疆昌吉831100 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《山东理工大学学报（自然科学版）》2023年第5期43-47,共5页Journal of Shandong University of Technology:Natural Science Edition

基　　金：新疆维吾尔自治区自然科学基金项目(2022D01A40)。

摘　　要：考虑了一类具有饱和发生率的COVID-19 SEIQR模型,给出了无病平衡点的全局渐近稳定和地方病平衡点局部渐近稳定的条件,讨论了对潜伏者和感染者实施不同的集中隔离措施在预防COVID-19传播中的效果,探讨了居家隔离并实施药物康复治疗对控制疾病传播的作用。A class of corona virus disease 2019 epidemic SEIQR model with saturated incidence rate is considered.For globally asymptotical stability of the disease-free equilibrium and locally asymptotical stability of the endemic equilibrium,conditions are obtained for this model.We discussed the effect of taking different isolation measures between the lurber and illness in preventing COVID-19 transmission,and the effects of home isolation and drug rehabilitation on the control of disease transmission.

关 键 词：COVID-19 隔离措施 基本再生数 渐近稳定 

分 类 号：O175.1[理学—数学]