讨论了一类带有非线性传染率的阶段结构传染病模型,得到了各类平衡点存在的阈值条件.借助Hurwitz判据、Lasalle不变集原理和Bendixson法则,找到了疾病消除平衡点,及在无因病死亡时,地方病平衡点全局渐近稳定的充要条件. A class of stage-structured infectious disease model with non-linear infection rate is discussed, and the threshold conditions of various kinds of equilibrium points are obtained. The disease elimination equilibrium point is found by Hurwitz criterion, Lasalle invariant set principle and Bendixson’s rule, and Necessary and sufficient conditions for global asymptotic stability of the endemic balance of endemic diseases in the absence of death due to illness.