一类带有部分免疫率和部分治疗率的传染病模型的全局分析

Global Analysis of an Epidemic Model with Partial Immunity and Partial Recovery

假设被接种者具有部分免疫率,治疗后部分痊愈,建立了一类带有部分免疫和部分治疗率的SEIR传染病模型.计算得到了基本再生数R_0,借助Liapunov函数,证明了无病平衡点和地方病平衡点的全局稳定性.

Under the assumption that the vaccinated individuals have partial immunity and the treated have partial recovery,an SEIR epidemic model with partial immunity and partial recovery was established,and the basic productive number R_0 was obtained;by means of Liapunov function,the global stability of the disease-free equihbrium and endemic equihbrium.