一类带有阶段结构的传染病模型解的渐近分析

用摄动理论研究了一类带有阶段结构的传染病动力学模型．对棚应的非线性系统，得到了不同群体生存变化的渐近表达式．通过分析解的表达式揭示了各种因素对不同群体生存影响的规律，从而为预防相关类型传染病传播提供了相应的理论依据．文章的研究为解决这一类非线性模型提供了一种有效的方法．

Asymptotic Analysis of a Class of Epidemic Model with a Stage Structure

A class of epidemic model with a stage structure is researched grounded on the perturbation theory. The asymptotic expansion for the livability of each group is obtained in the corresponding nonlinear system. By analyzing the expressions of the solution, the regularity of various factors affecting the livability of each group is discovered. The theoretical basis is provided for the prevention in the spread of infectious diseases related to the type. Thus, an effective method is given in the paper to estimate the solution of some class of nonlinear problems.