具有染病年龄结构的SEIS流行病模型的稳定性

摘要

研究了一类具有染病年龄结构SEIS流行病模型,得到了该模型的基本再生数R0的表达式.证明了当R0＜1时,无病平衡点是全局渐近稳定的；当R0＞1时,无病平衡点不稳定,此时地方病平衡点是局部渐近稳定的.%A kind of SEIS epidemic model with age of infection is considered. The basic reproductive number is established for the model. It is proved that the disease free equilibruim is globally asymptotically stable if RO < 1.The disease free equilibruim is unstable if RO > 1 when the endemic equilibruim is locally asymptotically stable.