一类带有非线性传染率的SEIR模型的全局分析

摘要

建立了一类带有非线性传染率βSφ(Ⅰ)的SEIR传染病模型,得到了疾病是否会成为地方病的基本再生数,利用Lassalle不变原理证明了无病平衡点的全局渐进稳定和地方病平衡点的渐进稳定性.%A SEIR epidemic model with nonlinear incidence rateβSφ(Ⅰ) was established,and it was obtained that the basic reproduction number determining whether the disease becomes endemic disease.The global stability of the disease-free was proved by Lassalle's invariant principle,and the stability of endemic equilibria was proved.