本文讨论了一类具有垂直传染的年龄结构SEIR 流行病模型,运用有界线性算子半群理论证明了模型本身非负解的存在唯一性.运用微分方程及积分方程中的理论和方法, 研究了该模型平衡点的稳定性,得到了无病平衡点与地方病平衡点的稳定性条件. In this paper, a class of age-structured SEIR epidemic model with vertical transmission is discussed. The existence and uniqueness of nonnegative solutions of the model itself are proved by the bounded linear operator semigroup theory. By using the theory and method of differential equation and integral equation, The stability of the equilibrium point of the model was obtained, and the stability conditions of disease-free equilibrium point and endemic disease balance point were obtained.