一类具有饱和发生率和时滞的SEIQR传染病模型稳定性分析  

Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay

作　　者：李冬梅[1] 张煜[1] Yue WU 董在飞 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080 [2]Schlumberger Western Geco,Katy Tx,77494

出　　处：《哈尔滨理工大学学报》2017年第2期78-82,共5页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然科学基金(A2016004)

摘　　要：考虑了隔离和接种对疾病的控制影响,建立了一类具有饱和发生率的时滞SEIQR传染病模型,给出了模型无病平衡点和地方病平衡点存在条件及模型的持久性,借助持久性构造了Liapunov函数,证明了无病平衡点和地方病平衡点的全局稳定性,利用数值模拟验证了模型动力学性质。Considering the effect of isolation and vaccination on control of disease, a SEIQR epidemic model with saturated incidence and time delay is established. Then, the existence condition of the disease-free equilibrium and endemic equilibrium and the permanence of model are obtained. The global stability of the disease-free equilibrium and endemic equilibrium are proved by constructing an appropriate Liapunov function, numerical simulations are presented to verify the properties of the models dynamics.

关 键 词：时滞 隔离 持久性 稳定性 

分 类 号：O175.13[理学—数学]