一类具有饱和发生率和时滞的SEIQR传染病模型稳定性分析

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.