本文讨论了潜伏期和染病期均具有传染性的年龄结构MSEIS流行病模型.在总人口规模不变的假设下,运用徽分方程和积分方程中的理论和方法,得到了基本再生数R_0的表达式,证明了当R_0<1时,无病平衡点是局部和全局渐近稳定的,此时疾病消亡.当R_0>1时,无病平衡点不稳定,此时系统至少存在—个地方病平衡点,并在一定条件下证明了该地方病平衡点的局部渐近稳定性. In this paper, the MSEIS epidemic model of age-related age-related structures, both latent and infectious, is discussed.Under the assumption of invariable population size and using the theory and method of Hui-Mark equation and integral equation, the expression of R_0 , It is proved that when R_0 <1, the disease-free equilibrium point is locally and globally asymptotically stable, and the disease dies out at this time.When R_0> 1, the disease-free equilibrium point is unstable, and there is at least one endemic balance Point, and under certain conditions proved that the balance of local endemic disease asymptotic stability.